Name _______________________________________ Date __________________ Class _________________
MODULE
4
Equations and Inequalities in One Variable
Module Quiz: B
7  5  2x 
1
evaluated for x  
2
y
2
and y  2?
1. What is
6. Graph the solutions of
x
1
1
6 7 .
4
4
2
_______________________________________
7. Choose True or False for each statement
about the solutions of 8 − 15𝑥 > −22
x
2. Solve 7   5 for x.
4
A The solutions are all less than -2.
True
_______________________________________
False
B The solutions are all less than 2.
3. What is the best first step for solving the
2z  18
equation 1.8 
?
5
True
False
C The solution set includes 0.
True
A Add 18 to both sides of the equation.
False
D The solution set includes 4.
B Subtract 18 from both sides of the
equation.
True
C Multiply both sides of the equation
by 5.
False
8. What are the solutions of
7  4  y   9y  20 ?
D Divide both sides of the equation
by 1.8.
________________________________________
4. What is the solution for the equation
0.7m  3.2  2.5  1.2m ?
_______________________________________
5.
Does each inequality have solutions that
match those graphed on the number line
above?
A 45  15x
Yes
No
B
x
1
3
Yes
No
C
x 1

6 2
Yes
No
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
27
Name _______________________________________ Date __________________ Class _________________
MODULE
4
Equations and Inequalities in One Variable
Module Quiz: B
10. What is 5r 
s2
solved for s?
3
17. Solve the inequality
2
p  2 and graph
3
the solutions.
_______________________________________
11. Simplify 12x  3  2x  y   5y .
18. Solve and graph the solutions for
8  d  3d  4 .
________________________________
12. Solve 2.5 
x
.
6
19. Solve the inequality 2  3 x  4   9 x  10 .
________________________________
_________________________________
13. Solve 5z  12z  10  18  7z .
20. Solve 2x  3 
________________________________
14. Solve the equation 21p  4 
6x  7
.
3
_________________________________
12p  7
.
2
21. Juan is making birdhouses to sell at a
craft show. The cost of making the
birdhouses is $80 plus $6.25 per
birdhouse. He will sell them for $16 each.
Write and solve an equation to find the
minimum number of birdhouses he must
sell to make a profit.
________________________________
15. Solve 5 x  2  3 x  7   20  11x  6 .
________________________________
16. A cell phone company charges $50 per
month for unlimited calls and $0.35 per
text message. Another cell phone
company charges $0.10 per text
message and $80 per month for unlimited
calls.
_________________________________
22. The formula for finding the area of a circle
is A   r 2 . Solve the formula for r.
_________________________________
a. Write an equation to represent when
the cost from both companies will be
the same.
_____________________________
b. Solve the equation and interpret the
solution.
_____________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
28
Name _______________________________________ Date __________________ Class _________________
Module Quiz 4: B Answers
1. 7
2. 8
3. C
4. 11.4
5. A Yes B No C Yes
6.
7. A False B True C True D False
8. y 
1
2
10. s  15r  2
11. 6 x  8y
12. x  15
13. z  2
14. p 
1
2
15. x can be all real numbers
16. a. 50 + 0.35t = 80 + 0.10t
b. t  120; The companies will charge
the same amount for 120 text
messages in a month.
17. p  3;
18. d  2;
19. x 
2
3
20. x can be all real numbers
21. 80  6.25x  16x; 9 birdhouses
22. r 
A

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
30
Name _______________________________________ Date __________________ Class _________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
31
Name _______________________________________ Date __________________ Class _________________
Equations and Inequalities in One Variable
MODULE
4
Module Quiz: D
1. Which of the following is 5  r  2  4s
evaluated for r  8 and s  2 ?
6. Which graph best represents the
solutions of b  7  2?
A 23
A
B 50
B
C 58
2. Solve 3 x  9  12 for x.
C
A 1
B 7
7. Which statement describes the solutions
of 3 x  9 ?
C 21
A The solutions are less than 3 .
3. What is the best first step for solving the
equation 8  2z  18 ?
B The solutions are less than 3.
C The solutions are greater than 3 .
A Add 18 to both sides of the equation.
8. What are the solutions of 5y  9y  16 ?
B Subtract 8 from both sides of the
equation.
A y  4
B y 4
C Multiply both sides of the equation
by 2.
C y  4
4. Solve 5m  3  3m  7 . What is the value
of m?
9. The equation for finding the area of a
rectangle is A  w . What is the equation
solved for w?
A 5
B 2
A w A
1
C 
2
B w
5.
C w
Which inequality is graphed on the
number line above?
A
x 3
B
x3
C
x3
A
A
10. What is p  4r  2 solved for r ?
A r
p
2
4
B r
p2
4
C r
2p
r
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
32
Name _______________________________________ Date __________________ Class _________________
MODULE
4
Equations and Inequalities in One Variable
Module Quiz: D
11. Simplify 9 x  3y  2x .
18. 6 p  12
a. Solve the inequality.
________________________________
_____________________________
12. Solve 9  4  x .
b. Graph the solutions.
________________________________
13. Solve 5z  45  4z.
19. Fill in the blanks to solve the inequality.
________________________________
17x  6  9x  10
14. Fill in the blanks to solve the equation.
z
 7  1
5
z

5
z
____
 6  10
8x  ____
x  ____
20. Solve x  3  x  7 .
15. Solve 7 x  3  3  7 x .
_________________________________
________________________________
21. Eric has $115 to spend on back to school
clothes. So far, he has spent $90. Write
an inequality to show how much more
money Eric can spend.
16. Sofia has been saving money to buy a
new computer. For her birthday, Sofia’s
mother gave her twice what she had
already saved. Now she has $135.
_________________________________
a. Using x to represent the money Sofia
saved before her mother’s present,
write an equation that represents the
situation.
22. Rhonda sells textbooks. Her paycheck is
found using the formula p  30b  15
where b is the number of textbooks she
sells. Solve the formula for b.
_____________________________
_________________________________
b. How much money did Sofia have
before her birthday?
23. Solve
_____________________________
17. Graph the inequality d  2 .
t
 u for t.
5
_________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
33
Name _______________________________________ Date __________________ Class __________________
Module Quiz 4: D Answers
1. C
2. B
3. A
4. A
5. C
6. C
7. A
8. C
9. C
10. B
11. 7 x  3y
12. x  5
13. z  5
14.
z
 7  1
5
z
6
5
z  30
15. x can be all real numbers
16. a. x  2 x  135
b. $45
17.
18. a. p  2
b.
19. 17 x  6  9 x  10
8 x  6  10
8 x  16
x  2
20. no solutions
21. 90 + 𝑥 ≤ 115
22. b 
p  15
30
23. t  5u
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
34
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