Name: ____________________________
710 Module 7 Study Guide
1.) Which of the following is solution to the inequality below?
x>6
a.)
b.)
c.)
d.)
e.)
-6
6
7
0
50
2.) Which values of y satisfy the inequality below?
𝐲
𝟐
a.)
b.)
c.)
d.)
e.)
>𝟗
9
18
19
-14
20
3.) 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
b.) 50,000 – 100x = 75,000
c.) 75,000 + 100x = 50,000
4.) Mrs. Hermann wants to buy candy for her students. Candy comes in packages of 6 candy
bars per package. She has 28 students. Which inequality could be used to find the least
number of packages of candy she must buy?
a.)
28
𝑥
𝑥
>6
b.) 28 < 6
c.) 6𝑥 > 28
d.) 6𝑥 < 28
5.) Which of the following is the solution to the inequality below?
2x – 4 ≤ 12
a.) x ≤ 8
b.) x ≤ 12
c.) x ≤ 16
6.) Write >, <, ≥, 𝑜𝑟 ≤ in the blank to express the given relationship. Then graph.
t is no more than – 7
t
-7
7.) Write >, <, ≥, 𝑜𝑟 ≤ in the blank to express the given relationship. Then graph.
m is at most 4
m
4
8.) Solve the inequality. Then graph its solution.
𝐱+𝟖 ≥𝟓
9.) Solve the inequality. Then graph its solution:
𝟑
𝟒
𝐱 + 𝟓 > 𝟏𝟕
10.) Tracy’s goal is to save $220. She already has $75. How much must she save to reach her
goal?
Use the inequalities for 11 – 13:
-3x > 9
and
3x > -9
11.) Explain the difference between the two inequalities. How does this affect your method and
solution?
12.) Solve the first inequality and graph its solution.
13.) Solve the second inequality and graph its solution.
14.) Esmeralda has $175 in her bank account. She withdraws $15 each week. What is the
maximum number of times she can withdraw money and still have more than $50?
a.) Write an inequality. Solve.
b.) Can she withdraw 8 times? Explain.
c.) Can she withdraw 9 times? Explain.
15.) Brooke is going bowling. The bowling alley charges $5 for shoe rental and $8 per game.
She wants to play g, games and wants to spend no more than $30.

Choose the inequality that models this situation. Circle your answer.
a) 𝑔 + 8 + 5 ≤ 30
b) 8𝑔 + 5 ≤ 30
c) 8 + 5𝑔 ≤ 30
d) 30 + 8𝑔 ≤ 5

Rewrite the inequality and solve it here. Show your work.
16.) Charlie earns a 10% commission on all sales plus a base salary of $30,000. His total income
last year was more than $65,000. What was the minimum amount he would need to make in
sales?
Choose the inequality that models this situation. Circle your answer.
a.)
b.)
c.)
d.)
30,000 + .10x < 65,000
65,000 + .10x > 30,000
30,000 + .10x > 65,000
30,000 - .10x > 65,000
17.) −𝟔𝐱 > 𝟏𝟖
a.) Solve. Show your work.
b.) Circle the graph that matches your solution.
Graph A
–6
–5
–4
–3
–2
–1
0
1
Graph B
2
3
4
5
6
–6
–5
–4
–3
–2
–1
0
1
2
3
c.) Explain why the other solution is wrong.
____________________________________________________________________
____________________________________________________________________
____________________________________________________________________
4
5
6