Name _______________________________________ Date __________________ Class __________________
Felgenhauer
715
Krueger
Module 7 STUDY GUIDE
1. Which is a solution to the inequality
below?
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?
x  6
A 6
D 0
B 6
E -2
C 7
F 50
A m84
B 8m4
C 8m  4
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?
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?
A 100  25x  700
B 25  100x  700
C 700  25x  100
A 60x  1,000  5,000
B 60x  5,000  1,000
C 1,000x  60  5,000
3. What is a value of y that satisfies the
inequality below?
7. Which of the following is the solution to
the inequality below?
y
 9
2
2x  4  12
A 9
D -14
B 18
E 20
A x  8
C 19
F -20
B x  12
C x  16
8. Which of the following values satisfies
the inequality 2 x  6  1 ? Select Yes
or No.
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?
A 50,000  100x  75,000
A 4
Yes
No
B 3
Yes
No
C 2
Yes
No
B 50,000  100x  75,000
C 75,000  100x  50,000
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name ________________________________________ Date __________________
9.Which of the following values does not satisfy the
inequality x  2  3?
Class _________________
16.For which of the following inequalities is
x  4 a solution?
A 3
A x31
B 5
B 3x  1
C 7
C x31
10.Solve the inequality. Show your work.
17. Raja solved the inequality 3 x  5  1 . His
work is shown below.
x
£1
6
Step 1: 3x  5  1
Step 2: 3x  6
11. Solve the inequality. Then graph its solution
on the number line in #12.
Step 3: x  2
Where did Raja make an error in his
calculation? Explain.
x85
________________________________________
________________________________________
12. Graph the solution on the number line.
Use the inequalities for 13–15.

 3x  9
and
3x  9
13. Explain the difference between the two
inequalities. How does this affect your method
of solution?
18. 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.
________________________________________
_______________________________________
19. 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.
14. Solve the first inequality and graph its solution
on the number line.
15. Solve the second inequality and graph its
solution on the number line.
________________________________________
________________________________________
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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Name _______________________________________ Date __________________ Class __________________
MODULE 7 Inequalities
Module STUDY GUIDE Answer Key
1. C, F
2. A
3. C, E
4. A
5. A
6. A
7. A
8. A No, B Yes, C Yes
9. C
10.
x
1
6
x
6    6 1
6
x6
11. x  8  5
x8858
x 3
12.
13. To solve first inequality you have to divide by a negative number, so you have to reverse the
inequality symbol. To solve second inequality, you divide by a positive number so the
inequality symbol stays the same.
14. x 3
15. x 3
16. C
17. He forgot to reverse the inequality symbol in Step 3.
18. 4,000  0.06s  7,000
19. 15x 75
15 x 75

15 15
x  5; Betsy can pay for no more than
5 months of the service fee.
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
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