Practice Problems

Match the following story with an equation.

• A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show.

• 3(6+x)=24

• 6(x+3)=24

• 6x3=24

• 24=3(6+x)

Solve for x

4x+10 = −38

• 11

• 12

• -12

• 7

Write an equation for the following tape diagram

(a)  

Solve for x

x− −6 = −2

• 4

• 8

• -4

• -8

What is the hardest substance in the human body?

• Bone

• Fingernail

• Tooth Enamel

• Cartilage

Expand to write an equivalent equation.

−5(x−1)=40

(a)  

Solve for x
12(x+10) = 24

• -12

• 12

• -8

• 8

How can cats squeeze through tight spaces?

• They are magical

• They have elastic skin

• They have flexible collarbones

• They are small enough

Match an equation to the story

A club puts its members into 5 groups for an activity. After 7 students have to leave early, there are only 35 students left to finish the activity. How many students were in each group?

• 5x−7=35

• 7x=35

• 7x+5=35

• 5x+7=35

Match an equation to the story.

The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. What was temperature at midnight?

• 
  3x+5=−7

• -7x+5=3

• 3x=-7

• 5x+3=-7