Transcript Chapter 3 Quiz Review

Question 1
8<x+2
Question 2
𝑥
≤ −9
5
Question 3
7x < –49
Question 4
x – 6 ≥ –3
Question 5
–4x ≤ 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 –7x < –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 – 3x ≤ 7x
Question 12
3x + 2 > 5x – 8
Question 13
2(4x – 1) ≥ 62
Question 14
3x + 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
2. x ≤ -45
3. x < -7
4. x ≥ 3
5. x ≥ -5
6. x < -7
7a.Yes b. No c. Yes d. No 8a. No b. No c. No d. Yes
9. x > 25
10. x > 38.4
11. x ≥ 1
12. x < 5
13. x > 8
14. x ≤ -1
15. divide by the
number and change
the sign
16. 7.25h ≥ 125;
h≥ 17.24 so 18 hours
17. 160 ≤ 107 + x;
x ≥ 53
18. b > -2
19. z ≥ 2
20. 18 feet
21. No
22. Yes
23. 100 > 3(x – 25)
24. Identity
25. No solution