Question 1
8 < x + 2

Question 2 𝑥
5
≤ −9

Question 3
7 x < –49

Question 4 x – 6 ≥ –3

Question 5
–4 x ≤ 20

Question 6
11 + x < 4

Question 7
Is each number a solution of y + 8 ≤ 5?
a. –3 b. 0 c.
−𝟏𝟑
𝟒 d. –2.9

Question 8
Is each number a solution of –7 x < –21?
a. 3 b. 0 c.
𝟖
𝟑 d. 4

Question 9
Write and solve the inequality:
Eight less than a number x is at least 17.

Question 10
Write and solve the inequality.
Twenty-four is less than fiveeighths of a number x .

Question 11
10 – 3 x ≤ 7 x

Question 12
3 x + 2 > 5 x – 8

Question 13
2(4 x – 1) ≥ 62

Question 14
3 x + 11 ≤ 8

Question 15
Explain how to solve an inequality if the coefficient of the variable term is negative.

Question 16
Suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you must work to earn at least $125.

Question 17
A baseball team wants to collect at least 160 cans of food for an upcoming food drive. Team members brought 42 cans of food on Monday and 65 cans of food on Wednesday. Write and solve an inequality to describe how many cans of food the team must collect on
Friday to make or exceed their goal.

Question 18
7 – 6b < 19

Question 19
6z – 15 ≥ 4z – 11

Question 20
The cheerleaders are making a rectangular banner for a football game. The length of the banner is 30 ft. The cheerleaders can use no more than 96 ft of trim around the outside of the banner. What are the possible widths of the banner?

Question 21
Decide whether the two inequalities in each pair are equivalent.
9 + b > 24; b > 33

Question 22
Decide whether the two inequalities in each pair are equivalent.
36 ≤ -4 + y; 40 ≤ y

Question 23
A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the trial membership is less than $100, you will consider signing up. What inequality can you use to determine whether you should sign up?

Question 24
8c + 5 – 2c ≤ 3(2c + 1) + 2

Question 25
15f + 9 > 3(5f + 3)

Answers
1. x > 6
4. x ≥ 3
10. x > 38.4
13. x > 8
16. 7.25h ≥ 125; h≥ 17.24 so 18 hours
19. z ≥ 2
22. Yes
25. No solution
2. x ≤ -45
5. x ≥ -5
7a.Yes b. No c. Yes d. No 8a. No b. No c. No d. Yes
3. x < -7
6. x < -7
9. x > 25
12. x < 5 11. x ≥ 1
14. x ≤ -1 15. divide by the number and change the sign
18. b > -2 17. 160 ≤ 107 + x; x ≥ 53
20. 18 feet 21. No
23. 100 > 3(x – 25) 24. Identity