Writing Equations from Word Problems

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

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 2=4x+30

• 2+4x=30

• 2x=4x+30

• 2x=4+30x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30+.15x=36+.10x

• 30+.10x=36+.15x

• 30x+.15=36+.10x

• 30+.10x=36x+.15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to show how many blinds you need for it to cost the same

• 25+5x=30+4x

• 25x+5=30x+4

• 25x+5=30+4x

• 25x+4x=30x+5x

Tags

CCSS.8.EE.C.7B

At Gamestop you can buy an XBox One for $150 and each game to go with it would cost $24. Or you can buy a Playstation 4 for $180 and each game cost $20. Write an equation to determine how many games would need to be purchased for the cost to be the same?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24x + 20x

• 150 - 24x = 180 - 20x

Tags

CCSS.8.EE.C.7B

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Tags

CCSS.HSA.CED.A.3

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

• 10.95x + 12.57 = 89.22

• 89.22x - 10.95 = 12.57

• 12.57x + 10.95 = 89.22

• 12.57 + 10.95 = 89.22

Tags

CCSS.HSA.CED.A.3

Mo is thinking of a number. Eleven more than one third of a number is -1. Which equation would help me find Mo's number?

• 1/ 3 + 11 = -1
• 3x + 11 = -1
• 1/3x + 11 = -1
• 1/3x + 11 = 1

Tags

CCSS.7.EE.B.4A

WRITE AN EQUATION
Jill sold half of her comic books and then got sixteen more. She now has 36. With how many did she begin?

• x/2 + 16= 36
• 36 + 16 = x
• x/2 - 16 = 36
• x/2 = 36 + 16

Tags

CCSS.HSA.CED.A.3