Writing and Solving 2-Step Equations

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 the number of hours (h) of lessons Kasey took if the total cost was $39.

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

Tags

CCSS.HSA.CED.A.3

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.7.EE.B.4A

Four more than the product of six and a number is 18.

• 10x = 18

• 4x + 6 = 18

• 4 + 6x = 18

• not enough info

Twice a number plus 6 is -72

• 2 + 6x =- 72
• 2x + 6 = -72
• 2 + 6 = x
• 2x² + 6 = 72

Tags

CCSS.7.EE.B.4A

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. What was the price of each CD?

• 5x + 6 = 61
• x/5 + 6 = 61
• 5/x + 6 = 61
• x + 5 + 6 = 61

Tags

CCSS.HSA.CED.A.3

The number of quarters in John’s collection is 10 more than 5 times the number of nickels in his collection.  John has 65 quarters in his collection.  Which equation can be used to determine the number of nickels in John’s collection?

• 65 = 10 - 5x
• 65 = 5x + 10
• 65 = 5x - 10
• 65 = 5 + 10x

Tags

CCSS.HSA.CED.A.3

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

• 250x + 2 = 1000
• 1000 + 2x = 250
• 250 - 2x = 1000
• 2x + 250 = 1000

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

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 + 63 = 35

• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

An electrician charges $90 per hour plus a $50 travelling fee. It costs $1000 in total.

• 1000 = 50x + 90

• 1000 = 90x + 50

• 90 = 1000 + 50x

• 90x = 1000 + 50

• 50 = 90x + 1000

Tags

CCSS.HSA.CED.A.3