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Chapter 3 Sections 4-6 Review

Total questions: 23

Worksheet time: 6hrs 31mins

Name
Class
Date
1.

Solve: 160 + 4f ≤ 500

a)

f ≥ 85

b)

f ≤ 85

c)

f ≥ 165

d)

f ≤ 165

2.

7 - 2t ≤ 21

a)

t ≤ 7

b)

t ≥ 7

c)

t ≤ -7

d)

t ≥ -7

3.

-4 + (-8) < -5c - 2

a)

c < 2

b)

c > 2

c)

c < 6/5

d)

c > 6/5

4.

-3(3 - x) < 42

a)

x > 8 1/3

b)

x < 8 1/3

c)

x > 5 2/3

d)

x < 5 2/3

5.

4/5x + 1/2 > 3/5

a)

x > 2/25

b)

x < 2/25

c)

x < 1/8

d)

x > 1/8

6.

To win the blue ribbon for the Heaviest Pumpkin Crop at the county fair, the average weight of John's two pumpkins must be greater than 819 lb. One of his pumpkins weighs 887 lb. What is the least number of pounds the second pumpkin could weigh in order for John to win the blue ribbon?

a)

p > 631

b)

p < 751

c)

p > 751

d)

p < 631

7.

x < 3x + 8

a)

x > -4

b)

x < -4

c)

x < 2

d)

x > 2

8.

6x - 1 ≤ 3.5x + 4

a)

x ≥ 2

b)

x ≤ 2

c)

x ≤ -2

d)

x ≥ -2

9.

The Daily Info charges a fee of $650 plus $80 per week to run an ad. The People's Paper charges $145 per week. For how many weeks will the total cost at Daily Info be less expensive than the cost at People's Paper?

a)

w < 10

b)

w > 10

c)

w ≥ 10

d)

w ≤ 10

10.

6(1 - x) < 3x

a)

x > 3/2

b)

x < 3/2

c)

x > 2/3

d)

x < 2/3

11.

-0.2x + 0.9 ≥ 1.6x

a)

x ≥ 1/2

b)

x ≤ 1/2

c)

x ≥ 9/14

d)

x ≤ 9/14

12.

x + 5 ≥ x + 3

a)

x ≥ 4

b)

x ≤ 4

c)

All solutions

d)

No solutions

13.

2x + 6 < 5 + 2x

a)

All Solutions

b)

No Solutions

c)

x < 11/4

d)

x > 11/4

14.

A water analyst recommends that the pH level of swimming pool water be between 7.2 and 7.6 inclusive. Write a compound inequality to she the pH levels that are within the recommended range.

a)

7.2 < x < 7.6

b)

7.2 > x > 7.6

c)

7.2 < x > 7.6

d)

7.2 > x < 7.6

15.

4 ≤ x + 2 ≤ 8

a)

6 ≤ x ≤ 10

b)

6 ≥ x ≥ 10

c)

2 ≥ x ≥ 6

d)

2 ≤ x ≤ 6

16.

-5 ≤2x + 3 < 9

a)

-8 ≥ 2x > 6

b)

-8 ≤ 2x < 6

c)

-4 ≥ x > 3

d)

-4 ≤ x < 3

17.

-4 + a > 1 OR -4 + a < -3

a)

a > 5 OR a < 1

b)

a < 5 OR a > 1

c)

a > -3 OR a < -7

d)

a < -3 OR a > -7

18.

2x ≤ 6 OR 3x > 12

a)

x ≤ 4 OR x > 9

b)

x ≥ 3 OR x < 4

c)

x ≤ 3 OR x > 4

d)

x ≥ 4 OR x < 9

19.

A statement formed by combining two simple inequalities with the words AND or OR is called a(n) _________________.

a)

Union

b)

Intersection

c)

Compound Inequality

d)

Solutions of an Inequality

e)

Inequality

20.

The numbers that are solutions to both inequalities of a compound inequality is the _____________________.

a)

Union

b)

Intersection

c)

Compound Inequality

d)

Solutions of an Inequality

e)

Inequality

21.

A(n) ___________________ is a mathematical statement that two quantities are not equal.

a)

Union

b)

Intersection

c)

Compound Inequality

d)

Solutions of an Inequality

e)

Inequality

22.

The numbers that are solutions to either inequality of a compound is the ___________________.

a)

Union

b)

Intersection

c)

Compound Inequality

d)

Solutions of an Inequality

e)

Inequality

23.

Any value that makes the inequality true is a(n) ____________________.

a)

Union

b)

Intersection

c)

Compound Inequality

d)

Solutions of an Inequality

e)

Inequality