Quiz about Representing Solutions of Linear Inequalities in One Variable on a Number Line

Question 1

Which inequality could represent the graph shown?

Accepted Answer

-5x + 6 < 21

Answer

2x - 6 < -12

Answer

6x > 5x + 3

Answer

6x > 10x + 12

Question 2

Solve the inequality and graph the solutions?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 3

Which of the following inequalities has a solution set described by the graph on the number line in the image?

Accepted Answer

$$-6x-\frac{17}{4}\le\frac{79}{4}$$

Answer

$$-5x+\frac{19}{2}\ge\frac{59}{2}$$

Answer

$$\frac{5}{3}x-\frac{8}{3}>-\frac{28}{3}$$

Answer

$$-\frac{4}{5}x+\frac{14}{5}\le-\frac{2}{5}$$

Question 4

Solve and graph the inequality.
$$8n+5\ge77$$

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 5

What inequality does the number line graph represent?

Accepted Answer

2x +1 < -3

Answer

x + 2 < 4

Answer

-x + 3 > 1

Answer

x + 4 >= 2

Question 6

Which of the following is the graph of the inequality 2x + 3 < 7?

Accepted Answer

Graph D

Answer

Graph A

Answer

Graph C

Answer

Graph B

Question 7

Solve and graph.
n + 21 < 0

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 8

Solve for b and graph:

$$-169\le8b-9$$

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 9

Solve and graph the inequality: 3x - 2 > -5

Accepted Answer

x > -1

Answer

x < -1

Answer

x > 0

Answer

x < 2

Question 10

Solve the inequality, then explain what the graph will look like. YOU WILL CHOOSE 2 OPTIONS!

Accepted Answer

Closed circle, shaded right

Accepted Answer

$$x\ge4$$

Answer

$$x\le4$$

Answer

Open circle, shaded right

Answer

Closed circle, shaded left

Representing Solutions of Linear Inequalities in One Variable on a Number Line

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