Word problems Equations

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

Penelope is going to the carnival. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35

• .50x - 20 = 35

Tags

CCSS.HSA.CED.A.3

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Tags

CCSS.7.EE.B.4A

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Tags

CCSS.7.EE.B.4A

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112? 

• 14h = 112
• 14 / h = 112
• h + 14 = 112
• h - 14 = 112

Tags

CCSS.HSA.CED.A.3

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

At Gamestop you can buy an Xbox for $150.00 and $24.00 per game. Or, you can buy a Playstation 5 for $180.00 and $20.00 per game. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Tags

CCSS.HSA.CED.A.3

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Which Equations could be used to see when the cost will be the SAME?

• x + 2x = 25 + 15

• 25 + 2x = 15 + x

• 3x = 30

• 25 + x = 15 + 2x

How do we solve equations?

• Guessing and hope it works out.

• Inverse operations.

• Simplifying.

Tags

CCSS.HSA.REI.A.1