PACE Writing & Solving Two-Step Equations

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

• h = 2(9) + 15
• 33 = 15h + 2
• h = 15(9) + 2
• 33 = 2h + 15

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

A cell phone company charges $3.00 to make a phone call plus $0.15 for each minute for each minute you talk. Which equation would you use to determine the total cost, c, of a phone call that is m number of minutes long?

• c = 3.00 - 0.15m
• c = 0.15 + 3.00m
• 3.00 = c + 0.15
• c = 3.00 + 0.15m

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.3

You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?  (Define 'n' and write the equation.) 

• n=total cost of erasers; 5 + 4n = 25
• n=cost of 1 eraser; 5 - 4n = 25
• n=cost of 1 eraser; 5n + 4 = 25
• n=cost of 1 eraser; 5 + 4n = 25

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Penelope is going to the carnival to ride the rides. 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.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39
• 11x - 6 = 39
• 11 + 6x = 39
• 66x = 39

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

What is the first step in solving the following equation?
3x - 5 = 20

• multiply both sides by 5
• add 5 to both sides
• divide both sides by 5
• subtract both sides by 5

Tags

CCSS.7.EE.B.4A

-9x-13= -103

• 15
• 10
• 12

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Tags

CCSS.7.EE.B.4A

4x + 7 = 23

• x = 16
• x = 4
• x = 9
• x = 12

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7