Pre-Algebra
Name _________________________
Study Guide for Chapter 3 Test: Equations (pages 96 – 143) Period _______
------------------------------------------------------------------------------------------------------------------------------What resources do you have or have access to help you prepare and study of the test?
 Handouts:
o Notes for each section (if missing, you can find them on Mrs. Ellwood’s website by date)
o Quizzes/Graded Assignments on the following lessons:
 Lessons 3.1 and 3.2
 Lessons 3.3 and 3.4
 Lessons 3.5 and 3.6
o Additional practice worksheets from chapter 3 and this study guide!
 Textbook Resources:
o Study Guide and Review (pages 138-140). Look at the examples and try the problems.
o Practice Test (page 141)
o Extra Practice problems for lessons 3.1 – 3.7 (pages 728-730)
 On-line Textbook (www.pre-alg.com) -choose only from chapter 3
o Extra Examples
o Self-Check Quizzes
o Parent & Study Guides
o Chapter Test
 Buzzmath
o Simplifying Algebraic Expression: Using the Distributive Property
o Solving One-Step Equations
o Solving One-Step and Two-Step Equations
o Solving One-Step and Two-Step Equations: Negative Coefficients
Multiple Choice. Write the correct letter of the response on the line provided.
In solving the following two-step equation, 3𝑥 − 4 = −16
1) what would you do first to begin solving the equation algebraically?
a) add 4 to both sides
b) subtract 4 from both sides
c) divide both sides by 3
d) multiple both sides by 3
2) what would you do second?
a) add 4 to both sides
b) subtract 4 from both sides
2) ________
c) divide both sides by 3
d) multiple both sides by 3
3) Which of the following is an expression that contains one term?
a) 2(a + 3)
b) 2ab
c) a + 4
4) Which of the following expressions contains like terms?
a) 3a + 3b
b) -a + 1
1) ________
c) -1 + 5b
3) _________
d) b + 1
4) _________
d) 6a – 5a + 3
3-1 and 3-2 Simplifying Algebraic Expressions
Identify the terms, like terms, coefficients, and constants in the following expression.
Rewrite subtraction as adding the opposite
5) -9x + 7 – 8x – 9
a) terms ____________________________
b) like terms _________________________
c) coefficients ________________________
d) constants _________________________
6) a + 2b – 4a + 3
a) terms ____________________________
b) like terms _________________________
c) coefficients ________________________
d) constants _________________________
Simplify each expression.
Step 1: Rewrite subtraction as adding the opposite.
Step 2: Distribute if there is ( ) around a sum of terms.
Step 3: Add the like terms.
7)
4(a + 7)
8)
b + 5(a – 2b)
9)
4n – 8 + 6 – 5n
10)
5m – 4n + 5m + 6n
11)
7(r + 3) + 8r
12)
5x + 3(x – 2)
13)
- (4x + 3)
14)
2 – 3(a + 4)
3-3, 3-4, 3-5 Solving Algebraic Equations
Solve and check each equation. Graph your solution. Show all work.
b
 12
15)
16)
17  a  4
3
17)
7n  28
18)
8  q  10
Solve and check each two-step equation. Show all work.
19) 2n 10  n  2
20)
23 
y
 17
3
21)
8  6x  3x  23
3-6 Writing Two-Step Equations
Translate each sentences or word problem into an equation. DO NOT SOLVE.
22) Seventy-five is the product of four and a number.
____________________________
23) If −9 is increased by twice a number, the result is 34.
____________________________
24) Three more than the quotient of a number and 5 is −9.
____________________________
Translate then solve the equation.
25) Nineteen is 5 less than twice a number.
26) Four more than the quotient of a number and 3 is 11.
27) Toni is saving money for an IPod that costs $120. She has already saved $50 and plans to save $10
each week. How many weeks will Toni need to save?
Define a variable, and write and solve an equation to answer the question.
3-7 Using Formulas
Use the given formula to solve for the missing values. Remember formula, replace, solve.
For 28 and 29, use the formula A = l w.
28) A = 72 cm2
29)
A = 54 in2
w
8 cm
9 in
L
30) Use the formula d = r t. What is the speed (r) of a train that travels 420 miles in 6 hours?
31) Use the formula d = r t. How far does a motorist travel if he drives 55 miles per hour for 3 hours?
32) Use the formula d = r t. How long would it take a stagecoach to travel 64 miles if its rate is 16 miles
per hour?