Mixed Equations and Inequalities

The model represents an equation.

What value of x makes the equation true?

• 3

• 8

• 6

• 4

A model for an inequality is shown.

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h − 2 ≤ 14

• 3h + 2 ≤ 14

• 3h − 2 ≥ 14

• 3h + 2 ≥ 14

An equation is modeled.

What value of x makes the equation true?

• −1

• 7

• −5

• 1

Which number line represent the solution to the inequality −7x −13 ≥ 8?

• Line A

• Line B

• Line C

• Line D

The solution to the inequality 5x − 4 > 21 is represented by which number line?

• 
• 
• 
• 

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

Match:
You must be at least 48 inches tall to ride the bumper cars.

• h < 48
• h > 48
• h ≤ 48
• h ≥ 48

You can spend no more than 20 dollars on your mom's birthday present.

• x > 20
• x < 20
• x ≤ 20
• x ≥ 20

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18