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Review: Inequalities

Last updated over 4 years ago

23 questions

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Question 1

1.

Which graph of an inequality best represents the solution set to the inequality below?

Question 2

2.

Noah is saving up for a used car that costs $1,400. He has already saved $650. If he can save $80 per week, which inequality can be used to determine how many weeks it will take Noah to be able to purchase the car?

Question 3

3.

What is the solution to the inequality 2(e - 8) > 12 ?

e > 20

e > 6

e > 14

e < 20

Question 4

4.

Which interval notation represents the inequality f < -30 ?

Question 5

5.

Which of the following is not a member of the solution set of the inequality below?

10

11

12

13

Question 6

6.

Dan works in New York City and makes $42 per hour. He works in an office and must get his suit dry-cleaned every day for $75. If he wants to make more than $260 each day, what is the fewest number of hours Dan must work?

4

5

7

8

Question 7

7.

Which graph is represented by the inequality below?

Question 8

8.

Which statement best represents the inequality below?

The product of -5 and a number, decreased by 7 is at least 28.

The product of -5 and a number, decreased by 7 is at most 28.

The product of 5 and a number, decreased by 7 is at most 28.

The quotient of -5 and a number, decreased by 7 is at most 28.

Question 9

9.

The graph below represents the solution to which inequality?

Question 10

10.

Which graph represents the solution set to the inequality below?

Question 11

11.

On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour. Which compound inequality best represents this situation for the speed, s ?

Question 12

12.

Which graph represents the solution to the compound inequality below?

Question 13

13.

Solve the inequality: -3p + 4 < 16

Question 14

14.

Solve the inequality below:

Question 15

15.

Write the inequality for the graph below using interval notation.

Question 16

16.

Write a compound inequality that represents the graph below.

Question 17

17.

Kathleen wants to buy a new IPod that costs $299. She earns $35 every day that she babysits her neighbor's children. If she already has $63 saved, how many days does Kathleen need to babysit until she can purchase the IPod?

Question 18

18.

Six classmates went to the local carnival. Upon entering, each classmate was given a raffle ticket. Each student wrote her name on it and placed it in a jar to win a prize. The carnival would give a prize to anyone who had a ticket number that satisfies the inequality that will be solved at 8 p.m.. The inequality is shown below.

The tickets for each classmate are shown below. Which students will receive a prize?

Question 19

19.

A taxi charges $1.50 for a ride and an additional $.50 per mile. Tyler has $6.75.
How many miles can he travel?

Question 20

20.

List all of the positive integers that satisfy this inequality:

4 - 5m < 20 - 9m

Question 21

21.

Solve the inequality: 5x - (x - 8) > 9 + 3(2x - 3)

Question 22

22.

Recently, there was a 21 Pilots concert at Madison Square Garden. 20,789 people attended the concert. When the doors opened, an average of 1,350 people entered the arena each minute. The band waited for a natural minute when the arena was filled. How long did the band wait before performing?

Question 23

23.

Solve the inequality below: