Name: ________________________________ Block: _____ Date: _________________
Chapter #1 Exam
Directions: Solve each problem. Make sure to show ALL your work.
Graph the number on a number line.
1.
–5
–4
–3
–2
–1
0
1
2
3
4
5
Insert <, >, or = to make the sentence true.
2.
Evaluate the expression for the given value of the variable(s).
3.
; b = –3
4.
5. The expression
models the height of an object t seconds after it has been dropped from a height
of 1900 feet. Find the height of an object after falling for 3.6 seconds.
Simplify by combining like terms.
6.
7.
Solve the equation.
8.
9.
10.
11.
Solve the equation or formula for the indicated variable.
12.
, for t
14. The formula for the time a traffic light remains yellow is
13.
, for E
, where t is the time in seconds and s is
the speed limit in miles per hour.
a.
Solve the equation for s.
b.
What is the speed limit at a traffic light that remains yellow for 3.5 seconds?
Name: ________________________________ Block: _____ Date: _________________
Solve for x. State any restrictions on the variables.
15.
16.
17. A rectangle is 3 times as long as it is wide. The perimeter is 110 cm. Find the dimensions of the rectangle.
Round to the nearest tenth if necessary.
Solve the inequality. Graph the solution set.
18. 3 + 5k  –22
19.
3(3y + 1)  –6
20. 2(2b + 5) < –5 + 4b
21.
11 + 6b  2(3b + 3)
Solve the compound inequality. Graph the solution set.
22. 5x – 1 < –16 or 4x + 6 > 6
–5
–4
–3
–2
–1
0
1
2
3
4
5
–10 –8
–6
–4
–2
0
2
4
6
8
10
23.
Algebra 2 - Chapter #2 Exam
Graph and state the domain and range for the equation .
1. y = | x – 3 | + 4
2. Make a mapping diagram for the relation.
{(–3, 1), (0, –4), (3, 2), (6, 5)}
3. Suppose
and
4. Graph the equation
. Find the value of
.
.
Find the slope of the line through the pair of points.
5. (8, 4) and (–7, –9)
Write in standard form an equation of the line passing through the given point with the given slope. All
numbers should be integers, no fractions.
6. slope =
; (2, 4)
Name: ________________________________ Block: _____ Date: _________________
7. A line passes through (2, –10) and (4, –9).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Find the slope of the line for problems 8 & 9.
8.
9.
y
4
2
–4
–2
O
2
4
x
–2
–4
10. A 3-mi cab ride costs $3.00. A 6-mi cab ride costs $4.80. Find a linear equation that models cost c as a
function of distance d.
11. A candle is 10 in. tall after burning for 2 hours. After 3 hours, it is
in. tall.
a.
Write a linear equation to model the height h of the candle after burning t hours.
b.
Predict how tall the candle will be after burning 6 hours.
12. The table shows the amount of time a student spends practicing each week and her typing speed.
a. Use a graphing calculator to find the equation of the line of best fit.
b. Use your equation to predict the student’s typing speed if she spends 8 hours practicing each week.
Graph the absolute value equation.
13.
14.
Name: ________________________________ Block: _____ Date: _________________
15. What is the vertex of the function
?
16. Write two linear equations you can use to graph
.
17. Statements I, II, III, IV and V represent descriptions of the correlation between two variables.
I
II
III
IV
V
Strong negative linear correlation
Weak negative linear correlation
No correlation
Weak positive linear correlation
Strong positive linear correlation
Which statement best represents the relationship between the two variables shown in each of the
scatter diagrams below.
(a)
y
10
y
10
8
8
6
6
4
4
2
2
0
(c)
(b)
2
4
6
8
10 x
y
10
0
(d)
8
6
6
4
4
2
2
2
4
6
8
10 x
4
6
8
10 x
2
4
6
8
10 x
y
10
8
0
2
0
Name: ________________________________ Block: _____ Date: _________________
y
18. Two points are given as A (2, 6) and B(5, 3).
(a)
Plot these points on the grid below.
(b)
Join the points with a straight line.
(c)
Calculate the gradient of the line AB.
7
6
5
4
3
2
1
0
1
2
3
5
4
6
7
8
x
19. The four diagrams below show the graphs of four different straight lines, all drawn to the same scale.
Each diagram is numbered and c is a positive constant.
y
y
c
c
Number 1
Number 3
x
0
x
0
y
c
y
c
Number 2
Number 4
x
0
0
x
In the table below, write the number of the diagram whose straight line corresponds to the equation
in the table.
Equation
y=3x+c
y=c
y=
1
x+c
3
y=–x+c
Diagram
number
Name: ________________________________ Block: _____ Date: _________________
Chapter #3 Exam
Solve the system by graphing.
1.
Solve the system of inequalities by graphing.
2.
3. A store sells bread and milk. On Tuesday, 8 loaves of bread and 5 litres of milk were sold for $21.40. On
Thursday, 6 loaves of bread and 9 litres of milk were sold for $23.40. If b = the price of a loaf of bread and
m = the price of one litre of milk, Tuesday’s sales can be written as 8b + 5m = 21.40.
(a) Using simplest terms, write an equation in b and m for Thursday’s sales.
(b) Find b and m.
4. The cost c, in Australian dollars (AUD), of renting a bungalow for n weeks is given by the linear relationship
c = nr + s, where s is the security deposit and r is the amount of rent per week.
Ana rented the bungalow for 12 weeks and paid a total of 2925 AUD.
Raquel rented the same bungalow for 20 weeks and paid a total of 4525 AUD.
Find the value of
(a) r, the rent per week;
(b) s, the security deposit.
5. A fish market buys tuna for $0.50 per pound and spends $1.50 per pound to clean and package it. Salmon
costs $2.00 per pound to buy and $2.00 per pound to clean and package. The market can spend only $106 per
day to buy fish and $134 per day to clean and package it.
(a) Write the four constraint inequalities.
(b) Sketch the feasible region, and find all vertices of this region.
(c) If the market makes $2.50 per pound profit on tuna and $2.80 per pound profit for salmon, write the
objective function that the market would like to maximize, and find that maximum profit.
Name: ________________________________ Block: _____ Date: _________________
Use the elimination method to solve the system.
x  y  z  6

6. 2 x  3 y  2 z  2
3x  5 y  4 z  4

Quadratics Exam
Sketch the graph of 𝑦 = −2(𝑥 − 3)2 + 5, clearly labeling the vertex and y-intercept.
1.
Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q.
2.
y
8
4
P
–8
–4
O
4
8
x
Q
–4
–8
3. Find
.
4.
5. Use vertex form to write the equation of the parabola. The point to use is (0, – 4).
y
8

6
4
2
–8 –6 –4 –2 O
–2
–4
–6
–8
2
4
6
8
x
Name: ________________________________ Block: _____ Date: _________________
Solve the equation by finding square roots.
6. 6 x 2  96  0
7. Find the zeroes of the equation by factoring: 𝑦 = 2𝑥 2 − 11𝑥 + 15
8. Find the missing value to complete the square.
Solve the quadratic equation by completing the square.
9.
Use the Quadratic Formula to solve the equation.
10.
11. Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the
formula
, where x is the number of units produced per week, in thousands.
a.
How many units should the company produce per week to earn the maximum profit?
b.
Find the maximum weekly profit.
Polynomials (6.1-6.4) Exam
1. Madison wrote the formula w(w – 1)(2w + 5) for the volume of a rectangular prism he is designing, with
width w, which has a positive value greater than 1. Find the product and then classify this polynomial by
degree and by number of terms.
2. Write 6x3 + 6x2 – 36x in factored form.
3. Find the zeros of
. Then sketch the graph of the equation.
4. Write a polynomial function in standard form with zeros at 5, –5, and –2.
5. Find the zeros of
6. Use long division to find another factor of
Divide using synthetic division.
7.
and state the multiplicity.
by x + 3.
Name: ________________________________ Block: _____ Date: _________________
8. Use synthetic division to find P(–3) for
.
Factor the expressions.
9.
10.
Name: ________________________________ Block: _____ Date: _________________
Chapter #1 Exam
Answer Section
1. ANS:
REF:
1-1 Properties of Real Numbers
–5 –4 –3 –2 –1 0 1 2 3 4 5
2. ANS: >
6
3. ANS: 14
7
4. ANS: 75
5. ANS: 1692.64 ft
6. ANS:
7. ANS:
2
3
9. ANS: 1.8
8. ANS: 1
1
10. ANS: x = 4 or x = 7
3
1
11. ANS: x = 1 or x = 1
2
12. ANS:
13. ANS: E 
2U
T
REF:
1-1 Properties of Real Numbers
REF:
1-2 Algebraic Expressions
REF:
REF:
REF:
1-2 Algebraic Expressions
1-2 Algebraic Expressions
1-2 Algebraic Expressions
REF:
1-2 Algebraic Expressions
REF:
1-3 Solving Equations
REF:
1-3 Solving Equations
REF:
1-5 Absolute Value Equations and Inequalities
REF:
1-5 Absolute Value Equations and Inequalities
REF:
1-3 Solving Equations
REF:
1-3 Solving Equations
14. ANS:
; s = 20 mi/h
REF: 1-3 Solving Equations
15. ANS:
;
REF: 1-3 Solving Equations
16. ANS:
;
REF: 1-3 Solving Equations
17. ANS: 13.8 cm by 41.3 cm
REF: 1-3 Solving Equations
18. ANS: k  –5
–8 –6 –4 –2
0
2
4
6
REF:
1-4 Solving Inequalities
REF:
1-4 Solving Inequalities
REF:
1-4 Solving Inequalities
8
19. ANS: y  –1
–8 –6 –4 –2
0
2
4
6
8
20. ANS: no solutions
–8 –6 –4 –2
0
2
4
6
8
Name: ________________________________ Block: _____ Date: _________________
21. ANS: all real numbers
–8 –6 –4 –2
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
REF:
1-4 Solving Inequalities
REF:
1-4 Solving Inequalities
REF:
1-4 Solving Inequalities
22. ANS: x < –3 or x > 0
–8 –6 –4 –2
23. ANS:
–8 –6 –4 –2
Algebra 2 - Chapter #2 Exam
Answer Section
y
1. ANS:
10
REF: 6-7 Graphing Absolute Value Equations
8
6
4
2
–10 –8
–6
–4
–2
–2
2
4
6
8
10
x
–4
–6
–8
–10
2. ANS:
REF: 2-1 Relations and Functions
–3
1
0
–4
3
2
6
5
3. ANS: 
2
7
REF: 2-1 Relations and Functions
4. ANS:
y
REF: 2-2 Linear Equations
4
2
–4
–2
O
–2
2
4
x
Name: ________________________________ Block: _____ Date: _________________
5. ANS:
6. ANS:
7. ANS:
8. ANS:
9.
10.
11.
12.
13.
13
15
4
4
 x+y=
3
3
1
y + 10 = (x – 2); –x + 2y = –22
2
3
4
0
c = 0.60d + 1.20
REF: 2-2 Linear Equations
REF: 2-2 Linear Equations
REF: 6-4 Point-Slope Form and Writing Linear Equations
REF: 2-2 Linear Equations
ANS:
REF:
ANS:
REF:
ANS:
REF:
ANS: y = 4.9x + 17.1; about 56 words per minute
ANS:
2-2 Linear Equations
2-4 Using Linear Models
2-4 Using Linear Models
REF:
6-6 Scatter Plots and Equations of Lines
y
REF: 2-5 Absolute Value Functions and Graphs
16
12
8
4
–8
–4
O
4
8
x
–4
14. ANS:
4
–8
–4
O
–4
–8
–12
–16
REF:
y
4
8
x
2-5 Absolute Value Functions and Graphs
Name: ________________________________ Block: _____ Date: _________________
15. ANS: (2 , –6)
REF: 2-5 Absolute Value Functions and Graphs
16. ANS:
REF: 2-5 Absolute Value Functions and Graphs
17. 4, 1, 3, 5
3
18. –
4
19. 4, 2, 1, 3
Chapter #3 Exam
Answer Section
SHORT ANSWER
1. ANS:
y
4
2
–4
–2
O
–2
–4
(2, –1)
2. ANS:
(–4, –1)
3. ANS:
(–8, –7, –5)
4. ANS:
2
4
x
Name: ________________________________ Block: _____ Date: _________________
y
4
2
–4
–2
O
2
4
x
–2
–4
5. ANS:
Let x = the number of vanilla cakes.
Let y = the number of chocolate cakes.
y
25
20
15
10
5
0
0
5
10
15
20
25
x
6. ANS:
(0, 2), (2, 0), (4, 6); maximum value of 8
Polynomials (6.1-6.4) Exam
Answer Section
1. ANS:
; cubic trinomial
2. ANS: 6x(x + 3)(x – 2)
REF: 6-1 Polynomial Functions
REF: 6-2 Polynomials and Linear Factors
Name: ________________________________ Block: _____ Date: _________________
3. ANS: 0, 3, –5
REF: 6-2 Polynomials and Linear Factors
y
6
4
2
–6
–4
–2
2
4
6
x
–2
–4
–6
4.
5.
6.
7.
8.
9.
10.
ANS:
ANS: –5, multiplicity 2; 4, multiplicity 3
ANS:
, R 118
ANS:
ANS: 341
ANS:
ANS:
REF:
REF:
REF:
REF:
REF:
REF:
REF:
6-2 Polynomials and Linear Factors
6-2 Polynomials and Linear Factors
6-3 Dividing Polynomials
6-3 Dividing Polynomials
6-3 Dividing Polynomials
6-4 Solving Polynomial Equations
6-4 Solving Polynomial Equations