Modeling and Solving Equations and Inequalities

The model represents an equation.

What value of x makes the equation true?

• 3

• 8

• 6

• 4

Tags

CCSS.6.EE.B.5

A model for an inequality is shown.

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

Which equation is true when the value of x is −12?

• ½x +22 = 20

• 15 − ½x = 21

• 11 − 2x = 17

• 3x − 19 = −17

Tags

CCSS.6.EE.B.5

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

Tags

CCSS.7.EE.B.4B

An equation is modeled.

What value of x makes the equation true?

• −1

• 7

• −5

• 1

Tags

CCSS.6.EE.B.5

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

• Line A

• Line B

• Line C

• Line D

Tags

CCSS.7.EE.B.4B

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Tags

CCSS.HSA.CED.A.3

The model represents an equation.

What is the solution for this equation?

• x = 1

• x = –2

• x = –3

• x = 5

Tags

CCSS.6.EE.B.5

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

• 
• 
• 
• 

Tags

CCSS.7.EE.B.4B

What is the value of x in this equation?

2x + 2 = −52

• −25

• −27

Tags

CCSS.7.EE.B.4A