MODULE
7
Inequalities
Module Quiz: B
1. What value of y satisfies y £ 12 ?
3
Select Yes or No.
A 24
Yes
No
B 39
Yes
No
C 12
Yes
No
D 36
Yes
No
2. Which of the following is a solution to
2 x  6 ? Select Yes or No.
A 3
Yes
No
B 12
Yes
No
C 3
Yes
No
D 5
Yes
No
3. Parvinder wants to save $500 for a trip.
Which inequality shows the least amount
she must save each month for 6 months
to accomplish this?
A 6x £ 500
C 6x ³ 500
B 6x  500
D
x ³ 500 + 6
4. TJ earns a 20% commission on all sales
plus a base salary of $40,000. His total
income last year was more than $70,000.
Which inequality can be used to calculate
the minimum number of TJ’s sales?
A 40,000  0.2x  70,000
B 40,000  0.2x 70,000
C 0.2  40,000x  70,000
D 70,000  0.2x  40,000
5. Tony wants to buy a ticket for $15.75. He
has $9.25. At least how much must he
earn to buy the ticket?
_______________________________________
6. Peggy wants to run 5 miles in less than
60 minutes. What inequality shows what
her rate should be?
A 1 mi  60 min
C 1 mi  12 min
B 3 mi  60 min
D 2 mi  30 min
7. There are 125 members in the school
marching band. The band wants to raise
$25,000 for a trip to a national
competition. The school agreed to
contribute $5,000 towards the trip. Which
inequality shows the amount of money
that each band member should raise?
A 125x  25,000  5,000
B 125x  5,000  25,000
C 5,000x  125  25,000
D 5,000x  25,000  125
8. What is the solution to the inequality
2x  4  11?
________________________________________
9. Which of the following ratios is equivalent
to 2:10? Select Yes or No.
A
1
5
Yes
No
B
2
5
Yes
No
C
4
20
Yes
No
10. Which of the following values satisfies the
inequality 2 x  6  1 ? Select Yes or
No.
A 4
Yes
No
B 3
Yes
No
C 2
Yes
No
11. Michele needs 30 ounces of pecans
to bake some pies. Pecans are sold in
4-ounce packages. What inequality could
be used to find the least number of
packages of pecans she has to buy?
________________________________________
Name _______________________________________ Date __________________ Class __________________
MODULE
7
Inequalities
Module Quiz: B
12. Solve the inequality. Show your work.
17. Solve the second inequality and graph
its solution on the number line.
x
£1
6
_______________________________________
________________________________________
18. Raja solved the inequality 3 x  5  1 .
His work is shown below.
Use the inequality for 13 and 14.
x85
Step 1: 3x  5  1
13. Solve the inequality. Show your work.
Step 2: 3x  6
_______________________________________
Step 3: x  2
_______________________________________
Where did Raja make an error in his
calculation? Explain.
_______________________________________
________________________________________
14. Graph the solution on the number line.
________________________________________
19. Joaquim earns a salary of $4,000 per
month plus a 6% commission on all of his
sales. He wants to earn at least $7,000
next month. Write an inequality that
shows what his total sales s must be in
order for Joaquim to reach his goal.
Use the inequalities for 15–17.
3x  9
3x  9
15. Explain the difference between the two
inequalities. How does this affect your
method of solution?
________________________________________
_______________________________________
20. Every month, the bank withdraws $15
from Betsy’s checking account as a
service fee. Betsy has budgeted $75 for
the next few service fees. For how many
months will the service fee be covered?
Write and solve an inequality to find the
solution. Show your work.
_______________________________________
_______________________________________
16. Solve the first inequality and graph its
solution on the number line.
________________________________________
________________________________________
_______________________________________
________________________________________
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40
Name _______________________________________ Date __________________ Class __________________
MODULE
7
Inequalities
Module Quiz: D
1. Which is a solution to the inequality
below?
6. There are 60 members in the school glee
club. The glee club needs to raise at least
$5,000 for a trip to a national competition.
The school agreed to contribute $1,000
toward the trip. Which of the inequalities
below shows the amount of money that
each glee club member needs to raise
to help pay for the trip?
x  6
A 6
B 6
C 7
2. Tito opened a savings account with $100.
He saves $25 per month. Which of the
inequalities below can be used to find the
least number of months it will take Tito to
have $700 saved?
A 60x  1,000  5,000
B 60x  5,000  1,000
C 1,000x  60  5,000
7. Which of the following is the solution to
the inequality below?
A 100  25x  700
B 25  100x  700
2x  4  12
C 700  25x  100
A x  8
3. What is a value of y that satisfies the
inequality below?
B x  12
C x  16
y
 9
2
8. Which of the following ratios is equivalent
to 1:2?
A 9
B 18
A
2
4
B
3
5
C
4
6
C 19
4. Ed earns a $100 commission on each
computer he sells plus a base salary of
$50,000. His total income last year was
$75,000. Which equation can be used to
find how many computers Ed sold last
year?
9. Which of the following values does not
satisfy the inequality x  2  3?
A 50,000  100x  75,000
A 3
B 50,000  100x  75,000
B 5
C 75,000  100x  50,000
C 7
10. For which of the following inequalities is
x  4 a solution?
5. Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m,
Demarcus has?
A x31
B 3x  1
C x31
A m84
B 8m4
C 8m  4
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
42
Name _______________________________________ Date __________________ Class __________________
MODULE
7
Inequalities
Module Quiz: D
11. Beth has $300 in her bank account.
She buys x shirts for $20 each. What is
an inequality Beth can use to find how
many shirts she can buy and still have
more than $100 in her account?
17. Kahal solved the inequality
4 x  4  20. His work is shown below.
______________________________________
Step 1:
4x  4  20
Step 2:
4x  16
Step 3:
x4
Where did Kahal make an error in his
calculation? Explain.
12. What is a solution to the inequality
below?
______________________________________
x  5  20
______________________________________
______________________________________
18. Fill in the blanks to complete the special
rule for inequalities.
13. Luz used the inequality below to find
the maximum number of tablet
computers she could purchase to fit her
budget.
If you ___________________________ or
___________________________
both sides
of an inequality by the same
70 x  350
___________________________
What is the greatest number of tablet
computers that Luz can buy?
number,
you must ___________________________
the
______________________________________
inequality symbol for the statement to
still be ___________________________.
Use the inequality for 14–16.
19. What is the absolute value of 200?
x43
______________________________________
14. Explain how you would solve the
inequality.
Use the inequalities for 20–22.
______________________________________
x3
______________________________________
x3
20. What is the difference between the two
inequalities? Explain.
15. Solve the inequality. Show your work.
______________________________________
______________________________________
______________________________________
______________________________________
______________________________________
21. Graph the first equality.
16. Graph the solution on the number line.
22. Graph the second equality.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
43
Name ________________________________________ Date __________________ Class __________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
44