www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
1
Table of Contents
👋.............................................................................................................................................4
Introduction
SAT Math Modules Layout............................................................................................................................ 4
Categories & Question Types........................................................................................................................4
♟️................................................................................................................................. 5
Part I. Algebra❓➕ ❓ 🟰 ❓................................................................................................................. 6
SAT Math Strategies
Concept #1 Linear Equations........................................................................................................................ 6
Concept #2 Functions................................................................................................................................... 11
Concept #3: Systems of Equations...........................................................................................................16
Concept #4: How Many Solutions?.......................................................................................................... 17
Concept #5 Interpreting an Equation.......................................................................................................26
Concept #6 Inequalities................................................................................................................................31
Math Strategy #1: Nice Numbers..............................................................................................................35
Answer Key Part I - Algebra..................................................................................................................38
✅................................................................................................................................... 39
Part II. Advanced Math🤓.......................................................................................................................48
Progress Check #1
Concept #1 Quadratics.................................................................................................................................48
Concept #2 Polynomials.............................................................................................................................. 56
Concept #3 Exponents................................................................................................................................. 61
Concept #4: Exponential Functions..........................................................................................................66
Concept #5: Absolute Value Expressions.............................................................................................. 76
Concept #6 Circle Equation........................................................................................................................ 80
Concept #7: Isolating a Variable (aka Equivalent Expressions)...................................................... 85
Answer Key Part II - Advanced Math.................................................................................................. 90
✅................................................................................................................................... 91
Part III. Problem-Solving and Data Analysis🧐................................................................................ 99
Progress Check #2
Math Strategy #2: Working Backwards..................................................................................................99
Concept #1: Percents..................................................................................................................................103
Concept #2: Probability............................................................................................................................. 109
Concept #3: Ratios...................................................................................................................................... 114
Concept #4 Conversion Problems..........................................................................................................118
Concept #5: Statistics.................................................................................................................................123
Concept #6 Margin of Error...................................................................................................................... 134
Answer Key Part III - Problem-Solving & Data Analysis............................................................. 140
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
2
Progress Check #3 Answers............................................................................................................... 146
📐💠..........................................................................................149
Part IV. Geometry & Trigonometry
Concept #1 Angle Chasing.......................................................................................................................149
Concept # 2 Similar Triangles..................................................................................................................152
Concept #3 Triangle Proofs......................................................................................................................157
Concept #4: Trigonometry........................................................................................................................ 164
Concept #5 Circles...................................................................................................................................... 177
Concept #6 Volume/Surface Area..........................................................................................................185
Concept #7 Comparing Two Shapes.....................................................................................................190
Answer Key Part IV - Geometry and Trigonometry...................................................................... 195
✅.................................................................................................................................196
Progress Check #4
This includes Angle Chasing, Similar Triangles, Triangle Proofs, Trigonometry, Circles, and
Volume/Surface area.............................................................................................................................196
🏆....................................................................................... 204
Part V. 700s Club Challenge Problems
Part I: Challenge Problems to Use Desmos On.................................................................................204
Part II: Reconciling (Logic) Problems with an a, b, and/or c........................................................... 206
Part III: Additional Challenge Problems...............................................................................................215
Answer Key Part V - 700s Club Challenge Problems!................................................................. 226
🧠..........................................................................................................227
Part VI. Cumulative Reviews
Cumulative Review #1...............................................................................................................................227
Cumulative Review #2...............................................................................................................................234
Cumulative Review #3...............................................................................................................................240
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn
more about our private tutoring options and Request a Consultation!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
3
👋
Introduction
SAT Math Modules Layout
It is important to understand the layout of the Math Sections, as well as the types of
questions involved.
Module 1 - 22 Questions, 35 minutes
Module 2* - 22 Questions, 35 minutes
*This module may be harder or easier depending on how you did on Module 1.
Categories & Question Types
1. Algebra (13-15 questions)
● Linear equations in 1 variable
● Linear equations in 2 variables
● Linear functions
● Systems of 2 linear equations in 2 variables
● Linear inequalities in 1 or 2 variables
2. Advanced Math (13-15 questions)
● Equivalent expressions
● Nonlinear equations in 1 variable
● Systems of equations in 2 variables
● Nonlinear functions
3. Problem-Solving and Data Analysis (5-7 questions)
● Ratios, rates, proportional relationships, and units
● Percentages
● One-variable data: distributions and measures of center and spread
● Two-variable data: models and scatterplots
● Probability and conditional probability
● Inference from sample statistics and margin of error
● Evaluating statistical claims: observational studies and experiments
4. Geometry & Trigonometry (5-7 questions)
● Area and volume formulas
● Lines, angles, and triangles
● Right triangles and trigonometry
● Circles
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
4
SAT Math Strategies
♟️
General Strategy
What It Is/Example
When You Use It
Letter of the Day
Running out of time
Leave a Trail
On All Modules
1-Minute Rule
On All Modules
Math Strategy
What It Is/Example
When You Use It
Put ‘3’
Pick a Middle #
Majority Rules
Working Backwards
Nice Numbers
Draw a Picture
Guess & Check
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
5
❓➕ ❓ 🟰 ❓
Part I. Algebra
Concept #1 Linear Equations
What you need to know
Equation of a line: _________________
m: _____________
b:_______________
Perpendicular slope: ______________
Parallel slope: ___________________
Slope formula (when given two points): ___________________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
6
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
7
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
8
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
9
CHALLENGE PROBLEM
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
10
Concept #2 Functions
What you need to know
f(2) = 5
2: ______
5:_______
f(x) is a fancy term for ________.
Functions with a Translation
What type of shift is this and in what direction?
f(x) + 3 :___________________________
f(x - 2): ___________________________
f(x) - 4: ___________________________
f(x + 5): ___________________________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
11
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
12
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
13
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
14
BONUS QUESTION (OFF OF #12 ABOVE): WHICH OF THE
FOLLOWING IS A VALUE OF X FOR WHICH F(X) = 5?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
15
Concept #3: Systems of Equations
Systems of Equations are now easier than ever on the Digital SAT.
Strategy: Type both equations into Desmos and look for the intersection point.
Example #1
Example #2 System of Equations
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
16
Concept #4: How Many Solutions?
Determining how many solutions a system has is now easier than ever on the DSAT.
(1) How Many Solutions? Systems of Equations
Strategy: Type both equations into Desmos.
Parallel Lines: have _____ solutions
Intersecting Lines: have _____ solutions
One Line: have _____ solutions
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
17
(2) How Many Solutions? Single Equation
You can’t use Desmos for this, so know what to look for!
Circle the correct words for each scenario.
a. No Solution has (same / different) coefficients, (same / different) constants.
Example of no solution:
b. Infinite Solutions have (same / different) coefficients, (same / different) constants.
Example of Infinite Solutions:
c. One Solution has (same / different) coefficients, (same / different) constants.
Example of one solution:
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
18
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
19
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
20
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
21
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
22
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
23
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
24
✨Looking for additional resources to guide you in your Digital SAT prep journey? ✨
👉Practice wherever, whenever you want with the Preptly: Digital SAT Prep
App! With over 2,000 users and an average rating above 4-stars, see why other
students love using the app and why it is helping them achieve higher scores on
their SAT!
Get Preptly in the App Store or in Google Play today!
📲
👉Looking to improve your English score as well? 🤨 Check out our Self-Paced
English Self-Paced Course!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
25
Concept #5 Interpreting an Equation
These questions can be very tricky. They are usually linear equations. Understanding slope and
y-intercept in a real-world context can help you get these right.
Let’s illustrate with an example:
Sammy sold $100 worth of cookies at her school’s bake sale, where c represents the number
of chocolate chip cookies sold and p represents the number of peanut butter cookies sold. Here
is the equation that represents this scenario:
3c + 2p = 100
What do the following represent:
3: _________________________
2: __________________________
3c: __________________________
2p: __________________________
Notice that your answer changes, depending on if they ask for just part of the term (i.e. ‘3’)
versus the entire term (i.e. ‘3c’).
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
26
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
27
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
28
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
29
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn more
about our private tutoring options and Request a Consultation!
👉Did you know we also have a Digital SAT English Course? If you’re trying to
improve your score in both areas of the test, check it out!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
30
Concept #6 Inequalities
What you need to know
1. When you solve an inequality, if you have to multiply or divide by a negative number, you
must flip the sign.
Example: − 3𝑥 ≤ 9
2. To figure out which way to shade an inequality, use test point (0,0). This means you put in 0
for x and 0 for y.
a. If it works ⇨shade towards the origin.
b. If it doesn’t work ⇨ shade away from the origin.
3. The solution set of a system of inequalities is where the shaded regions combine:
4. Strategy: Type the inequalities into Desmos!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
31
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
32
15.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
33
CHALLENGE PROBLEM
20.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
34
Math Strategy #1: Nice Numbers
🤔
This is a great strategy to use when you have variables in the question and answer
choices and you are confused!
How does this strategy work? Watch this short video first
👉 Nice Numbers
Nice Numbers Example 1
Nice Numbers Example 2
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
35
Nice Numbers Example 3
Nice Numbers Example 4
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
36
Nice Numbers Example 5
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
37
Answer Key Part I - Algebra
Concept #1 Linear
4. C
8. C
38. 16
5. D
8. A
6. D
9. A
10. C
19. 8
Concept #2 Functions
36. 220
33. 33
10. A
5. A
17. B
7. B
12. C
BONUS ?: 3
17. A
14. infinite
8. I only
28. B
36. 7.5
Concept #5 Interpreting Equations
2. A
8. D
17. A
28. A
18. B
29. D
15. D
Concept #3 Systems of Equations
9. B
6. C
Concept #4 How Many Solutions
9. B
25. D
12. D
15. A
9. A
20. 1/4
26. D
26. D
32. none
www.strategictestprep.com
Concept #6 Inequalities
14. D
8. A
12. A
15. 28
13. D
20. 182
Strategy #1 Nice Numbers
12. D
15. D
15. B
29. B
29. B
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
38
Progress Check #1
✅
This includes Linear Equations, Functions, Systems of Equations, How
Many Solutions, Interpreting an Equation, Inequalities, and Nice
Numbers (Part 1 Algebra).
1.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
39
2.
3.
4.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
40
5.
6.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
41
A. (0,1)
B. (0,3)
C. (-2,2)
D. (100,0)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
42
7.
Progress Check #1 Answers
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
43
8.
9.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
44
10.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
45
1.B
2.C
3.D
4.B
5.D
6.A
7. A
8. B
9. D
10. C
EXPLANATIONS:
1. The Answer is B. The graph goes Down, making the slope negative. The intercept is
positive, and looks roughly at 10.
2. The Answer is C. Solve for X and Y (You can do by hand or use desmos). From here, plug
in X and Y into the equation 2x-Y to get you C.
3. The Answer is D. Same slope and intercept, one line is just 3x as big. This means they
are always overlapping, so infinitely many!
4. The Answer is B. Using desmos and plugging it in, you can see the lines only cross at
one point.
5. The Answer is D. If you rent the scooter for 8 hours, you must subtract one of the hours
because of the initial $10 fee. The remaining 7 hours will then be 3 dollars, which is why
you multiply by 3.
6. The Answer is A. Using Desmos, see what area has both overlapping colors. This would
be (0,1). Plugging in the coordinates into the equations, A is the only answer that is true.
7. Choice A is correct. A solution to a system of equations must satisfy each equation in
the system. It follows that if an ordered pair is a solution to the system, the point lies on
the graph in the xy-plane of each equation in the system. The only point that lies on each
graph of the system of two linear equations shown is their intersection point . It follows
that if a new graph of three linear equations is created using the system of equations
shown and the graph of , this system has either zero solutions or one solution, the point
(8.2) . Substituting for and for in the equation yields 8+4(2) = -16 or 16 = -16. Since this
equation is not true, the point does not lie on the graph of x+4y=-16. Therefore, (8.2) is not
a solution to the system of three equations. It follows that there are zero solutions to this
system.
8. Choice B is correct. If you rearrange the second equation to get y by itself, you get y=
6x+22. We know 6x+18 does not equal 6x+22. We have the same coefficients, but different
constants, so this will get us no solution.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
46
Choice A is incorrect. The equation and the given equation represent the same line in the
xy- plane. Therefore, a system of these linear equations would have infinitely many
solutions.
Choice C is incorrect. The equation and the given equation represent lines in the
xy-plane that are distinct and not parallel. Therefore, a system of these linear equations
would have exactly one solution, rather than no solution.
Choice D is incorrect. The equation and the given equation represent lines in the
xy-plane that are distinct and not parallel. Therefore, a system of these linear equations
would have exactly one solution, rather than no solution.
9. Choice D is correct. For a linear equation in a form to have no solutions, the x-terms
must have equal coefficients and the remaining terms must not be equal. Expanding the
right-hand side of the given equation yields 9x+5=ax+ab. Inspecting the x-terms, 9 must
equal a, so statement I must be true. Inspecting the remaining terms, 5 can’t equal 9b .
Dividing both of these quantities by 9 yields that b can’t equal 5/9. Therefore, statement
III must be true. Since b can have any value other than 5/9, statement II may or may not
be true.
10. Choice C is correct. It's given from the graph that the points (0, 7) and (8, 0) lie on the
line. Using the slope formula, you get m= -⅞. It’s also given that the point (d, 4) lies on the
line. Using this point and one of the other points and putting into the slope equation,
you get:
(0-4)/(8-d) = -⅞.
Multiplying both sides by 8-d, you get
-7/8*(8-d) = -4.
Then, simplifying to solve for d, you get
-7 + 7/8d = -4
7/8d = 3.
d = 24/7.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
47
🤓
Part II. Advanced Math
Concept #1 Quadratics
What you need to know
Standard Form (shows the y-intercept): _______________
Vertex Form (shows the coordinates of the vertex): ________________
Factored Form (shows the zeros/solutions): ____________________
Quadratic Formula: ___________________________
Discriminant (determines how many real solutions there are): ______________
b^ - 4ac
# of solutions
+
0
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
48
-
Finding the sum of the solutions: ____________________
Finding the axis of symmetry: _______________
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
49
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
50
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
51
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
52
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
53
_
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
54
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
55
Concept #2 Polynomials
What you need to know
Distinct roots = how many times it crosses the x-axis
2
Example Polynomial: 𝑥 (𝑥 − 3)(𝑥 − 1)(𝑥 + 4) = 0
# of distinct roots: ____________
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
56
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
57
USE DESMOS!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
58
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
59
CHALLENGE PROBLEM
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
60
Concept #3 Exponents
What you need to know
Exponent Rules
2
1. 𝑥
5
* 𝑥 = ___________
5
𝑥
2.
= _______________
2
𝑥
3. 𝑥
−3
5
4.
=____________
4
𝑥
= ____________
5. Changing bases to get like bases before solving
Example:
2𝑥
27
(3𝑥+9)
=3
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
61
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
62
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
63
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
64
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
65
Concept #4: Exponential Functions
What you need to know
An exponential function has a variable in the exponent.
Example Equation:
Example Graph (Draw picture):
It is important to know the difference between a linear and exponential function.
Circle the words that stand for exponential functions.
Constant
Rate of Change
Population
Doubles
Triples
Slope
To get the y-intercept of an exponential function, you make x = ________.
0
5 = ____
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
66
Know the exponential growth/decay equation: 𝑃(1 ± 𝑟)
𝑡
P:___________
r:_____________
t:______________
Example 1: 500(1. 03)
12
Is this a growth or decay? __________
What is the growth rate? ___________
How much time has transpired? __________
What was your initial amount? ___________
7
Example 2: 750(. 87) 12
Is this a growth or decay? __________
What is the growth rate? ___________
How much time has transpired? __________
What was your initial amount? ___________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
67
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
68
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
69
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
70
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
71
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
72
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
73
Linear or Exponential?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
74
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
75
Concept #5: Absolute Value Expressions
What you need to know
|5| =________
|− 5| =________
Thus, if we want to find x for |2𝑥 + 5| = 10, we know either
2𝑥 + 5 = ________
or
2𝑥 + 5 = ________
The graph of an absolute value function, 𝑦 = |𝑥|, looks like this:
Notice once you’ve drawn the graph that for most points, there are two x’s to every y.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
76
PRACTICE PROBLEMS
16) 4|𝑥 -3| + 6 = 22
What is the sum of the solutions to the given equation?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
77
17) 3|𝑥 − 11| + 5|𝑥 − 11| = 32
What is the sum of the solutions to the given equation?
A) 7
B) 15
C) 22
D) There is no solution to the equation.
26. What is a possible value of x?
A) -4
B) -2
C) 4
D) 5
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
78
35. What is the least possible value of x?
|7x-6|=|4x|
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn
more about our private tutoring options and Request a Consultation!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
79
Concept #6 Circle Equation
What you need to know
1. A circle equation is in the form
2
2
2
(𝑥 − ℎ) + (𝑦 − 𝑘) = 𝑟 , 𝑤ℎ𝑒𝑟𝑒 (ℎ, 𝑘) 𝑖𝑠 𝑡ℎ𝑒 𝑐𝑒𝑛𝑡𝑒𝑟 𝑎𝑛𝑑 𝑟 𝑖𝑠 𝑡ℎ𝑒 𝑟𝑎𝑑𝑖𝑢𝑠.
2
2
Example: (𝑥 − 2) + (𝑦 + 5) = 16
center: (____, ____)
radius:
2. If they don’t give it to you in that form, use DESMOS!
3. You may on occasion need the midpoint formula (to find the center) or the distance formula
(to find the length of the radius).
Midpoint formula = ________________________________
Distance formula = _________________________________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
80
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
81
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
82
14.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
83
25.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
84
Concept #7: Isolating a Variable (aka Equivalent Expressions)
On these problems, you will use your algebra skills to get another variable all by itself.
Strategy: If stuck, use Nice Numbers! (Just make sure the numbers make sense)
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
85
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
86
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
87
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn more
about our private tutoring options and Request a Consultation!
👉Did you know we also have a Digital SAT English Course? If you’re trying to
improve your score in both areas of the test, check it out!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
88
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
89
Answer Key Part II - Advanced Math
Concept #1 Quadratics
28. A
3. B
19. C
13. D
13. D
10. A
29. B
7. D
12. A
9. D
18. A
38. 12
13. A
21. D
26. D
Concept #2 Polynomials
12. D
28. C
20. 8
20. A
25. B
26. C
14. D
Concept #3 Exponents
3. D
14. A
11. D
16. 1, 2, 4, 8, 16
12. D
7. A
14. B
15, C
Concept #4 Exponential Functions
13. C
27. A
www.strategictestprep.com
11. A
26. C
12. A
14. A
11. C
11. A
12. D
30. B
Concept #5 Absolute Values
3. C
19. 4
16. 6
17. C
25. A
26. C
17. C
35. 6/11 or .5455
Concept #6
Circle Equation
21. D
24. A
29. B
24. C
20. 4
15. D
14. 5
37. 20
38. 37
25. 10
Concept #7 - Isolating a Variable
6. A
10. C
9. C
12. B
11. D
14. D
14. A
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
90
Progress Check #2
✅
This includes Quadratics, Polynomials, Exponents, Exponential
Functions, Absolute Value Expressions, Circle Equation, and Isolating a
Variable (aka Equivalent Expressions).
1.
A. 3
B. -2
C. -5
D. 4
2.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
91
3.
4.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
92
5.
6.
7.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
93
8.
Progress Check #2 Answers
1.
2.
3.
4.
5.
6.
7.
8.
C
D
C
C
B
9
A
A
EXPLANATIONS:
1.
The two solutions are -3 and -2, which add up to -5
2.
If you multiply the factors back together, we will get our original
polynomial.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
94
3.
(You can also plug it into desmos!)
4.
5.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
95
6.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
96
7.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
97
8.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
98
🧐
Part III. Problem-Solving and Data Analysis
Math Strategy #2: Working Backwards
This is a great strategy to use when you can’t figure out how to set up an equation
and you have #s as the answer choices!
How does this strategy work? Watch this short video first
🤨
👉Working Backwards
Working Backwards Example 1
Working Backwards Example 2
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
99
Working Backwards Example 3
Working Backwards Example 4
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
100
Working Backwards Example 5
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
101
Working Backwards Example 6
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
102
Concept #1: Percents
What You Need to Know for Percents
Percent Change Formula:
How to write a percent in different forms (decimal and fraction)
Examples:
35% = _______ = _________
253% = _________ = __________
1.57% = _________ = __________
How to set up a percents equation to solve
Example 1:
90 is what percent of 250?
Equation: ______________________
Example 2:
250% of x is 20. What is x?
Equation: _______________________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
103
PRACTICE PROBLEMS (hint: Use Working Backwards for this first one)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
104
Creating Equations with Percents
32.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
105
Percent Increase (Use percent change formula)
Percent Decrease
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
106
How Much Percent Greater
Additional Percent Questions
‘
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
107
30. CHALLENGE PROBLEM
Suppose x is 280% of z. Furthermore, x is 75% of y. If z is q% of y, what is the value of
q? Round to the nearest tenth.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
108
Concept #2: Probability
What you need to know
It is a myth that you need to memorize a bunch of probability equations for the SAT.
Probability just requires common sense and choosing the correct number to put in the
numerator and the denominator.
#
⇐ What they want the probability of
#
⇐ What you’re selecting randomly from
Tricky Types of Probability Questions
1. Probability with an “and” (i.e. What is the probability that a student will play basketball and
baseball)? = Multiply
2. Probability with an “or” (i.e. What is the probability that a student will play basketball or
baseball?) = Add
3. Conditional probability - if you see a given statement, you may need to eliminate some
group(s) in order to satisfy the condition. This will change both your numerator and
denominator!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
109
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
110
24.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
111
Probability Given Statements (Conditional Probability)
15. The probability of being a person over age 60 in a group is 33%. The
probability of being a person over age 18 in that same group is 71%. What is
the probability of choosing a person from the group that is over age 60 given
that they are older than age 18? Round to the nearest tenth of a percent.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
112
16.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
113
Concept #3: Ratios
What you need to know
Ratios are basically proportions of things, for instance 3 parts water to 2 parts oil.
How can you write that ratio?
1. ____________
or
2._________________
You can use the ratio given to set up a proportion and solve.
***Remember, if you have 3 parts water to 2 parts oil, you have 5 total parts! So,
often, 5 will go in the denominator when you’re setting up your proportion.
Example: There are 3 parts water to 2 parts oil. If a total of 11,386 gallons of water
and oil are used, how many gallons of oil are needed?
________ = ________
Rates are also ratios. If you see “per” in the problem, you can probably write the
relationship as a ratio!
Example: The cheetah runs 55 miles per hour.
Ratio: __________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
114
PRACTICE PROBLEMS
8.)
9.)
11.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
115
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
116
20)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
117
Concept #4 Conversion Problems
What you need to know
Converting units is basically multiplying one ratio by another.
Example: If I want to convert square miles to square kilometers, then I want square
miles to cancel.
Q: Where should I put square miles when I multiply to convert?
20 𝑠𝑞. 𝑚𝑖𝑙𝑒𝑠
1 ℎ𝑜𝑢𝑟
Circle One:
Top
?
* ?
/ Bottom
IMPORTANT TIP
***If the SAT gives you a conversion, but then talks about everything in square
units, you have to square both sides of the conversion to put it in square units
first***
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
118
PRACTICE PROBLEMS
10.)
15.)
17. )
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
119
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
120
27.) A rocket's acceleration is measured at a rate of 9.20 meters per second squared.
What is this rate in kilometers per hour squared, rounded to the nearest tenth?
(Use 1 kilometer = 1000 meters.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
121
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn more
about our private tutoring options and Request a Consultation!
👉Did you know we also have a Digital SAT English Course? If you’re trying to
improve your score in both areas of the test, check it out!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
122
Concept #5: Statistics
What you need to know
Mean:
Median:
Mode:
Range:
Outliers affect the (circle one): Mean / Median
To calculate the median, first put the data in (circle one): Ascending / Descending
order.
The greater the standard deviation, the more (circle one) Spread Out / Concentrated
the data is.
Bell curve that has a higher
Bell curve that has a lower
Standard Deviation:
Standard Deviation:
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
123
Parts of a box plot:
Scatterplots
In a scatter plot, the line of best fit represents the (circle one): ACTUAL / ESTIMATES
In a scatter plot, the dots represent the (circle one): ACTUAL / ESTIMATES
If dot plots/bar graphs are symmetrical about the same value, they have the same
mean.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
124
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
125
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
126
Outliers
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
127
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
128
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
129
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
130
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
131
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
132
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
133
Concept #6 Margin of Error
What you need to know
How to decrease Margin of Error?
A) Change the tool you’re using
B) Try more experiments
C) Increase the sample size
D) Decrease the sample size
Answer: __________
How to calculate the Margin of Error
If there is a 3% margin of error and it was estimated that 21% of a 100,000
population has susceptibility to a disease, then you will calculate:
21% - 3% = 18% of the population for the lower limit
and
21% + 3% = 24% of the population for the upper limit
100,000(.18) = ___________
and 100,000(.24) = ___________
so, the population that is susceptible to the disease is likely to be anywhere between
these two numbers given the margin of error.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
134
**Please note it is possible, but unlikely, for the actual population to be outside this
range**
PRACTICE PROBLEMS
12.)
13.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
135
14.)
15.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
136
16.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
137
17.)
A) 1100
B) 1250
C) 1400
D) 1750
27.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
138
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
139
Answer Key Part III - Problem-Solving & Data
Analysis
Concept #1 Percents
11. B
15. D
2. B
31. 7070
32. D
24. D
21. C
17. C
37. 50/3 or 16.7
9. A
28. C
25. 70
30. 26.8
Concept #2 Probability
14. A
34. 0.692
21. B
24. C
15. 46.5%
16. ⅓
Concept #3 Ratios
8. 17
9. B
11. 370
15. B
16. C
20. D
Concept #5 Statistics
6. 79
www.strategictestprep.com
34. 863
14. B
17. C
10. B
24. C
26. D
2. B
20. A
37. 15
38. 9
23. B
26. B
Concept #6 Conversion Problems
10. 14/3 or 4.667
15. D
17. A
23. B
30. A
30. D
27. 119,232
Concept #7 Margin of Error
12. D
13. D
14. A
15. B
16. C
17. C
20. D
27. D
26. A
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
140
Progress Check #3
✅
This includes Percents, Probability, Ratios, Conversion Problems,
Statistics, and Margin of Error.
1.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
141
2.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
142
3.
4.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
143
5.
6.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
144
7.
8.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
145
Progress Check #3 Answers
1. 5/7
2. D
3. A
4. C
5. 8
6. B
7. A
8. D
Answer Explanations
1. The correct answer is 5/7 . It is given that no contestant received the same score on two
different days, so each of the contestants who received a score of 5 is represented in the
“5 out of 5” column of the table exactly once. Therefore, the probability of selecting a
contestant who received a score of 5 on Day 2 or Day 3, given that the contestant
received a score of 5 on one of the three days, is found by dividing the total number of
contestants who received a score of 5 on Day 2 or Day 3 (2+3 = 5) by the total number of
contestants who received a score of 5, which is given in the table as 7. So the probability
is 5/7 . Note that 5/7, .7142, .7143, and 0.714 are examples of ways to enter a correct answer.
2. Choice D is correct. Since 1 minute = 60 seconds and 1 hour = 60 minutes, it follows that 1
hour = (60)(60), or 3,600 seconds. Using this conversion factor, the space station’s average
speed of 4.76 miles per second is equal to an average speed of
or 17,136 miles per hour.
Choice A is incorrect. This is the space station’s average speed in miles per minute.
Choice B is incorrect. This is double the space station’s average speed in miles per
minute, or the number of miles the space station travels on average in 2 minutes. Choice
C is incorrect. This is triple the space station’s average speed in miles per minute, or the
number of miles the space station travels on average in 3 minutes.
3. Choice A is correct. The data point with x=1 has a y-coordinate of 12. The y-value
predicted by the line of best fit at x=1 is approximately 11. The difference between the
y-coordinate of the data point and the y-value predicted by the line of best fit at x=1 is
12-11, or 1.
Choices B and C are incorrect and may result from incorrectly reading the scatterplot.
Choice D is incorrect. This is the y-coordinate of the data point at x=1.
4. Choice C is correct. The median of a data set represented in a box plot is represented
by the vertical line within the box. It follows that the median mass of the gazelles in group
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
146
1 is 25 kilograms, and the median mass of the gazelles in group 2 is 24 kilograms. Since 25
kilograms is greater than 24 kilograms, the median mass of group 1 is greater than the
median mass of group 2.
Choice A is incorrect. The mean mass of each of the two groups cannot be determined
from the box plots. Choice B is incorrect. The mean mass of each of the two groups
cannot be determined from the box plots. Choice D is incorrect and may result from
conceptual or calculation errors.
5. The correct answer is 8. The 6 students represent
of those invited to join the committee. If x people were invited to join the committee, then
0.15x=6 . Thus, there were
people invited to join the committee. It follows that
there were 0.45(40)=18 teachers and 0.25(40) = 10 school and district administrators invited
to join the committee. Therefore, there were 8 more teachers than school and district
administrators invited to join the committee.
6. Choice B is correct. Selecting a sample of a reasonable size at random to use for a
survey allows the results from that survey to be applied to the population from which the
sample was selected, but not beyond this population. In this case, the population from
which the sample was selected is all fourth-grade students at a certain school. Therefore,
the results of the survey can be applied to all fourth-grade students at the school.
Choice A is incorrect. The results of the survey can be applied to the 40 students who
were surveyed. However, this isn’t the largest group to which the results of the survey can
be applied. Choices C and D are incorrect. Since the sample was selected at random from
among the fourth-grade students at a certain school, the results of the survey can’t be
applied to other students at the school or to other fourth-grade students who weren’t
represented in the survey results. Students in other grades in the school or other
fourth-grade students in the country may feel differently about announcements than the
fourth-grade students at the school.
7. Choice A is correct. The mode is the data value with the highest frequency. So for the
data shown, the mode is 18. The median is the middle data value when the data values
are sorted from least to greatest. Since there are 20 ages ordered, the median is the
average of the two middle values, the 10th and 11th, which for these data are both 19.
Therefore, the median is 19. The mean is the sum of the data values divided by the
number of the data values. So for these data, the mean is
Since the mode is 18, the median is 19, and the mean is 20, mode<median<mean.
Choices B and D are incorrect because the mean is greater than the median. Choice C is
incorrect because the median is greater than the mode.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
147
Alternate approach: After determining the mode, 18, and the median, 19, it remains to
determine whether the mean is less than 19 or more than 19. Because the mean is a
balancing point, there is as much deviation below the mean as above the mean. It is
possible to compare the data to 19 to determine the balance of deviation above and
below the mean. There is a total deviation of only 6 below 19 (the 6 values of 18); however,
the data value 30 alone deviates by 11 above 19. Thus the mean must be greater than 19.
8. Choice D is correct. It’s given that there are 7 red, 4 white, 33 blue, and 33 yellow cubes
in the bag. Therefore, there are a total of 7+4+33+33 , or 77, cubes in the bag. If the cube is
neither blue nor yellow, then it must be either red or white. Therefore, the probability of
selecting a cube that is neither blue nor yellow is equivalent to the probability of
selecting a cube that is either red or white. If one of these cubes is selected at random,
the probability of selecting a cube that is either red or white is equal to the sum of the
number of red cubes and white cubes divided by the total number of cubes in the bag.
There are 7 red cubes, 4 white cubes, and 77 total cubes in the bag. Therefore, the
probability of selecting a red or white cube is (7+4)/77, which is equivalent to 11/77, or 1/7 .
Thus, if one cube is selected at random, the probability of selecting a cube that is neither
blue nor yellow is .
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
148
📐💠
Part IV. Geometry & Trigonometry
Concept #1 Angle Chasing
What you need to know
Corresponding Angles: _______________
Alternate Interior:____________________
Alternate Exterior:____________________
Degrees in a line: _____________
Degrees in a triangle: ___________
Degrees in a quadrilateral: ____________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
149
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
150
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
151
Concept # 2 Similar Triangles
What you need to know
Similar triangles have the same angle measures, but are different sizes in proportion to each
other.
There are two ways to solve for the length of a side of a similar triangle
STRATEGY #1: Say you are using the picture above to solve for side EF. You know AC = 10,
AB = 20, and EG = 40. Set up a proportion, such as:
𝑆𝑚𝑎𝑙𝑙 𝑇𝑟𝑖𝑎𝑛𝑔𝑙𝑒
𝐵𝑖𝑔 𝑇𝑟𝑖𝑎𝑛𝑔𝑙𝑒
=
20
40
⬚
= ⬚
STRATEGY #2: Use your scrap paper as a ruler, hold it up to the screen, and measure the side
length using another side length you already know
Watch this YouTube video to see how to do this SCRAP PAPER AS A RULER strategy!
BONUS STRATEGY #3: Make sure to DRAW A PICTURE if they do not give you one!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
152
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
153
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
154
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
155
21.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
156
Concept #3 Triangle Proofs
What you need to know
Ways to Prove Congruency:
1.___________
2. ___________
3. ____________
4. _____________
5. ____________
Ways to Prove Similarity:
1.
or
2. Any of the above options for congruency, provided you know that the sides
are in proportion to each other.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
157
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
158
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
159
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
160
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
161
_______________________________________________
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
162
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
163
Concept #4: Trigonometry
What you need to Know
SOH, CAH, TOA
Sin =
Cos =
Tan =
Complimentary Angles Rule
If 𝑎 + 𝑏 = 90° , then _______________________
Let’s illustrate with an example:
sin a = _______
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
164
cos b = ________
If sin K = 0.6, what does that mean?
Write 0.6 as a fraction or ratio! __________
opposite side = ________
hypotenuse = __________
Pythagorean Theorem _______________________
(to find the missing side of a right triangle)
a - leg
b - leg
c - hypotenuse
When are Sin, Cosine and Tangent Positive?
Special Right Triangles (Available on Your Cheat Sheet)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
165
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our Digital SAT Math Course!
👉For individualized support, please check out our Information Pack to learn
more about our private tutoring options and Request a Consultation!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
166
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
167
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
168
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
169
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
170
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
171
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
172
1
20. 𝑡𝑎𝑛θ ≤ 12 and the height of the triangle is 23.1 with a base of x.
What is the least value of x?
22.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
173
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
174
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
175
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
176
Concept #5 Circles
What you need to know
1) Circumference Formula: ____________
2) Area Formula: ____________
Note: Both 1 and 2 are on your math reference table if you forget them.
3) a. Convert radians to degrees :
b. Convert degrees to radians:
4) # of degrees in a circle: __________ and # of radians in a circle: ___________
5) Finding the fraction of a segment:
Take the central angle and divide it by total degrees in a circle.
45
=
Thus, everything about this segment is
________ of the whole.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
177
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
178
5.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
179
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
180
20.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
181
21.
22.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
182
26.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
183
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
184
Concept #6 Volume/Surface Area
What you need to know
1. Use your math reference table in BlueBook for formulas.
2. A triangular prism is ½ volume of a rectangular prism.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
185
3. Sometimes you need to make up your own numbers to determine a relationship to
get what they want you to get (i.e. if they ask you to cut the radius in half and double
the height, but they don’t give you the original dimensions).
4. They may ask about surface area instead.
Surface area of a rectangular prism formula = _____________________________
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
186
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
187
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
188
13. A sphere and a right cylinder have the same radius and volume. The cylinder has a
height of 8 feet. Find the radius.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
189
Concept #7 Comparing Two Shapes
Often, College Board will give you problems where they want you to compare two shapes’
volumes or areas. These problems are very abstract in nature. They will often leave out key
information that you need, like lengths of sides.
How can you tackle these problems?
🤨
The best way forward is to use the strategy NICE NUMBERS.
🤓
Don’t forget you have the reference table to help you with formulas!
Let’s look at an example together on the next page…
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
190
EXAMPLE
Since we don’t have much to go off of (we don’t know the radius or the height of either
cylinder).. we need to make up some nice numbers to determine the relationship
between the volumes when we cut the height in half and double the radius.
Cylinder 1: I am going to make the radius 1 and the height 2.
(Q: Why wouldn’t I want to make the height 3?) _______________________________
Cylinder 2: I am going to make the radius 2 and height 1.
Cylinder 1 Volume:
www.strategictestprep.com
Cylinder 2 Volume:
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
191
What happened to the volume from cylinder 1 to cylinder 2? ___________________
If cylinder A is 22 cu. units, what will cylinder B’s volume be then? __________________
PRACTICE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
192
21. Circle A has a radius of 3n and circle B has a radium of 129n, where n is a
positive constant. The area of circle B is how many times the area of circle A?
A. 43
B. 86
C. 129
D. 1,849
20. A rectangular poster has an area of 360 square inches. A copy of the poster is
made in which the length and width of the original poster are each increased by
20%. What is the area of the copy, in square inches?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
193
Answers
22. B
21. D
20. 518.4
*Please be sure to complete the College Board Question Bank practice set for this lesson as
well.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
194
Answer Key Part IV - Geometry and Trigonometry
Concept #1 Angle Chasing
3. D
18. 105
20. 97
17. 30
14. D
Concept #2 Similar Triangles
17. 1600
18. 12
36. 6
18. 30
31. 3/5 or .6
20. 4/5 or .8
21. C
Concept #3 Triangle Proofs
9.D
24. B
8. C
9. C
22. C
24. C
25. C
Concept #4 Trig
19. C
9. B
20. 8/15
13. D
23. D
19. ⅘
15. A
18. 70
www.strategictestprep.com
19. 0
22. B
16. 4
20. 1.925
22. 8
23. C
19. 6
Concept #5 Circles
30. D
38. 6
5. A
20. 80
29. C
38. 3/4
19. 6
20. B
21. B
22. 100
26. C
20. 3.75 or 15/4
20. 48
Concept #6 Volume & Surface Area
35. 6
10. C
22. B
11. B
11. B
13. 6
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
195
Progress Check #4
✅
This includes Angle Chasing, Similar Triangles, Triangle Proofs,
Trigonometry, Circles, and Volume/Surface area.
1.
2.
3.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
196
4.
5.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
197
6.
7.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
198
8.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
199
Answers
1. A
2. 27,556
3. D
4. B
5. B
6. 123
7. C
8. D
Answer Explanations
1.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
200
2.
3.
4.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
201
5.
6.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
202
7.
8.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
203
🏆
Part V. 700s Club Challenge Problems
Part I: Challenge Problems to Use Desmos On
A desmos calculator is built into BlueBook exams! It is a great tool that you can use to solve
difficult algebraic problems quickly and easily. Try these problems, then check your answer
with this video walkthrough!
Example 1
Example 2
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
204
Example 3
Example 4
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
205
Part II: Reconciling (Logic) Problems with an a, b, and/or c
What you need to know
These problems challenge you to get one expression in another format and then provide
College Board with the requested numbers.
Tip: Do not try to solve by combining like terms. Keep the two sides separate. Work to get one
side simplified so that it is in the same format as the other side that they want.
EXAMPLE PROBLEMS
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
206
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
207
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
208
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
209
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
210
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
211
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
212
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
213
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
214
Part III: Additional Challenge Problems
You may or may not be able to use Desmos for all of these problems.
These problems are featured in our Preptly: Digital SAT Prep app! To access over 1,000
additional questions and prep on the go from your mobile device, get Preptly here:
👉https://apps.apple.com/us/app/preptly-digital-sat-prep/id1673379063
Google Play 👉https://play.google.com/store/apps/details?id=com.flutter.preptly&hl=en&gl=US
App Store
1)
In the xy-plane, a line with equation 4y=a for some constant a intersects a parabola
at exactly one point. If the parabola has equation 𝑦 = 2𝑥^2 − 9𝑥, what is the value of
a?
A) 10.125
B) -10.125
C) -20.25
D) -40.5
2)
A parabola has a vertex (3, -7) and intersects the x-axis at two points. If the
equation of the parabola is written in standard form (𝑦 = 𝑎𝑥^2 + 𝑏𝑥 + 𝑐), which of the
following could be the value of a+b+c?
A) -12
B) -9
C) -7
D) -3
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
215
3) -6x = 24y+10
ky = -3x + 20
In the given system of equations, k is a constant. If the system has no solution, what is the
value of k?
A) -12
B) -6
C) 6
D) 12
4) 6x = 24y+10
ky = -3x + 20
In the given system of equations, k is a constant. If the system has no solution, what is the
value of k?
A) -12
B) -6
C) 6
D) 12
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
216
5) y = 5x -17
y = (x-3)(x+4)
How many real solutions are there to this system of equations?
A) zero
B) one
C) two
D) cannot be determined from the given information.
6) In a given function, if f(x) equals 302% of x, which of the following describes this
function when x>0?
A) decreasing linear
B) decreasing exponential
C) increasing exponential
D) increasing linear
7) 𝑓(𝑥) = −4𝑥^2+50𝑥+126
The function g is defined by f(x+3). For what value of x does g(x) reach its
maximum?
A) 3.25
B) 6.25
C) 9.25
D) 282.25
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
217
8) 𝑓(𝑥) = −4𝑥^2 +50𝑥+126
The function g is defined by f(x-5). For what value of x does g(x) reach its
maximum?
A) 1.25
B) 6.25
C) 11.25
D) 282.25
2
9) 𝑦 =− 2𝑥 − 8𝑥 + 16
𝑦= −4𝑥+𝑎
In the given system of equations, a is a constant. If the graphs intersect at exactly
one point (x,y) in the coordinate plane, what is the value of x?
A) -18
B) -1
C) 1
D) 18
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
218
2
10) 𝑦 = 4𝑥 − 4𝑥 + 36
𝑦= 12𝑥+𝑎
In the given system of equations, a is a constant. If the graphs intersect at exactly
one point (x,y) in the coordinate plane, what is the value of x?
A) -4
B) -2
C) 2
D) 4
11) A wildlife preserve has an area of 117,089,280 square feet. What is the area of
the wildlife preserve, in square miles? (1 mile = 5,280 feet)
A) 4.2
B) 5.8
C) 6.3
D) 7.2
12) A private estate, including the house and grounds, has an area of 29.875 square
kilometers. What is the area of the private estate, in square miles? (1 mile =
1.60934 km)
A) 8.5
B) 10.5
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
219
C) 11.5
D) 12.5
13)
In the given equation, b is a positive constant. Which of the following is a solution
to the given equation?
2
A) 𝑏 + 20. 024
2
B) 𝑏 − 20. 024
2
c) 𝑏 + 21. 024
2
d) 𝑏 + 441. 024
14) A circle is inscribed in a square.The radius of the circle measures 4 2
What is the area of the square?
A) 16
B) 48
C) 64
D) 128
15) A barbershop can spend at maximum $1100 to purchase hair products. The
owner of the barbershop must purchase a minimum of 100 hair products to
maintain the discounted pricing with the supplier. If the owner pays $9.80 per small
bottle and $17.40 per large bottle of product, what is the maximum number of
small bottles the owner can purchase while staying in the budget to maintain the
discounted pricing?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
220
A) 84
B) 85
C) 15
D) 100
16) |𝑥−13|= −8
What is the sum of the solutions of x?
A) 5
B) 21
C) 27
D) There is no solution to this equation.
18) One roll of wallpaper will cover 180 square meters of a surface. A room has a
total wall area of m square meters. Which equation represents the total amount of
wallpaper, W, needed to cover the walls of two of these identical sized rooms?
A) 𝑊 = 𝑚/ 90
B) 𝑊 = 360𝑚
C)𝑊= 𝑚/180
D) 𝑊 = 180𝑚
19) The equation 5x - 8y = 24 is graphed in the xy- coordinate plane before being
translated down 3 units. What is the x-intercept of the new graph after the
translation?
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
221
A) (9.6, 0)
B) (13.25, 0)
C) (14.10, 0)
D) (14.85, 0)
20)
The function C models the cost of a car t years after its purchase. According to the
model, the car is predicted to decrease in value by d% every 78 weeks. What is the
value of d?
A) 0.13
B) 0.87
C) 13
D) 19.5
21) The expression 2𝑥^2 + 𝑏𝑥 − 35, where b is a constant, can be rewritten as
(𝑝𝑥 + 𝑞)(𝑥 + 𝑟), 𝑤h𝑒𝑟𝑒 𝑝, 𝑞, 𝑎𝑛𝑑 𝑟 𝑎𝑟𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡𝑠. Which of the following must be an
integer?
A) b/p
B) 𝑏/𝑞
C) 35/𝑝
D) 35/𝑞
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
222
22) In the xy-plane, a line with equation 2y=a for some constant a intersects a
parabola at exactly one point. If the parabola has equation 𝑦 = − 3𝑥^2 − 12𝑥, what is
the value of a?
A) -24
B) -12
C) 12
D) 24
23)2x = 8y+5
ky = -6x + 10
In the given system of equations, k is a constant. If the system has no solution, what is the
value of k?
A) -24
B) -12
C) 12
D) 24
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
223
24) y = 4x -15 ,
y = (x-6)(x+3)
How many real solutions are there to this system of equations?
A) zero
B) one
C) two
D) cannot be determined from the given information.
25) In a given function, if f(x) equals 24% of x, which of the following describes this
function when x>0?
A) decreasing linear
B) decreasing exponential
C) increasing exponential
D) increasing linear
26) 𝑓(𝑥) = −4𝑥2+50𝑥+126
The function g is defined by f(x)-10. What is the y-coordinate of g(x)’s maximum?
A) -4.25
B) 6.25
C) 272.25
D) 282.25
27) A rocket's acceleration is measured at a rate of 9.20 meters per second squared.
What is this rate in kilometers per hour squared, rounded to the nearest tenth?
(Use 1 kilometer = 1000 meters.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
224
28) A car's acceleration is measured at a rate of 4.50 meters per second squared. What
is this rate in kilometers per hour squared, rounded to the nearest tenth?
(Use 1 kilometer = 1000 meters.)
29) A train's acceleration is measured at a rate of 40,000 kilometers per hour squared.
What is this rate in meters per second squared, rounded to the nearest thousandth?
(Use 1 kilometer = 1000 meters.)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
225
Answer Key Part V - 700s Club Challenge Problems!
Part I Reconciling Problems
*See Detailed Answer Key Provided
Immediately After Exercise
Part II Challenge Problems with
Desmos
1. D
2. D
3. D
4. A
www.strategictestprep.com
Part III Additional Challenge Problems
5. A
6. D
7. A
8. C
9. B
10. C
11. A
12. C
13. D
14. C
15. A
16. D
18. A
19. A
20. C
21. D
22. D
23. D
24. C
25. D
26. C
27. 119,232
28. 58,320,000
29. 0.003
9. C
22. C
24. C
25. C
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
226
🧠
Part VI. Cumulative Reviews
These cumulative reviews will help you gauge what you have retained from completing this
workbook.
Cumulative Review #1
This includes Linear Equations, Quadratics, Functions, Exponents, &
Triangle Proofs
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
227
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
228
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
229
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
230
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
231
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
232
Answer Key:
11. B
12. C
4. A
19. B
35. 1.5
9.B
15. D
11. D
2. A
8. C
Answer Explanation Video: https://youtu.be/fBzNTvcEfe0
Want Video Explanations for the other sections of this workbook?
🤨
Enroll in our Digital SAT Self-Paced Math Course Here:
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
233
Cumulative Review #2
This includes Circle Equations, Similar Triangles, Angel Chasing,
Volume
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
234
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
235
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
236
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
237
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
238
Answer Key:
24. C
18. C
21. 5
16. D
25. B
25. C
9. B
Answer Explanation Video: https://youtu.be/SQaxJYIE4_Y
Want Video Explanations for the other sections of this workbook?
🤨
Enroll in our Digital SAT Self-Paced Math Course Here:
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
239
Cumulative Review #3
This includes Percents, Probability, Trigonometry, Polynomials,
Reconciling, Interpreting an Equation, and Inequalities
1.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
240
2.
3.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
241
4.
5.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
242
6.
7.
note: replace msup in D with (x-5)
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
243
8.
9.
10.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
244
Answers to Cumulative Review #3
1. B
2. 1/7
3. C
4. .6956, .6957, 16/23
5. A
6. D
7. B
8. -419
9. 5
10. D
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
245
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
246
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
247
✨How can you make the most out of this workbook? ✨
👉For walkthrough videos, strategies, quizzes, and extra resources that support
each lesson in this workbook, please sign up for our English Self-Paced Course!
👉For individualized support, please check out our Information Pack to learn
more about our private tutoring options and Request a Consultation!
✨Looking for additional resources to guide you in your Digital SAT prep journey? ✨
👉Practice wherever, whenever you want with the Preptly: Digital SAT Prep
App! Join our 2,000+ users and start improving your score today!
📲 Get Preptly in the App Store or in Google Play today!
👉Looking to improve your math score as well? 🤨 We have a new Self-Paced
Digital SAT Math Course! (Available in 2024)
👉Check out our YouTube Channel, which provides free videos that teach you
how to take the Digital SAT like a pro!
👉Follow us for up-to-date tips, tricks, strategies, and more!
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
248
© 2023 by Strategic Test Prep.
All Rights Reserved.
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
249
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
250
www.strategictestprep.com
♟️ 1-833-300-PREP (7737) ♟️info@strategictestprep.com
251