Writing 2 Step Equations

Joe earns $25 per yard he mows in the summer.  If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.  

• 25y - 100 = 3,100
• 3,100 - 100 = 25y
• 25y + 100 = 3,100
• 100y + 25 = 3,100

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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 the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35
• .50t = 35
• .50 + 20t = 35 
• .50t +35 = 20

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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 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

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

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CCSS.6.EE.C.9

Ms. Jacobs is a photographer .  For each job she charges $135 for the first hour she works and $100 for each additional hour.  Ms. Jacobs charged $535 for a job she completed.  Write an equation that can be used to determine the number of hours (h) she spent on the job.

• 135x + 100 = 535
• 100x - 135 = 535
• 100x + 135 = 535
• 135x - 100 = 535

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x

• 8 = x + 4 + 3

• 8 - 7x = 4 + 3x

• 7x - 8 = 3x + 4

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

• 800 + 5x = 4000
• 800x + 5 = 4000
• 4000 + 5x= 800
• 800 + 5 = 4000

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

A banana has 85 calories. This is 10 calories less than one eighth of the calories in a banana split. Which equations helps you find how many calories are in a banana split?

• 85 - 10 = x
• x/8 + 10 = 85
• x/8 - 10 = 85
• x/8 - 10 = 75

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CCSS.6.EE.B.5

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The 30 members of a choir are trying to raise $1500 to cover travel costs to a signing camp. They have already raised $600. Which equation would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600 = 1500
• 30x - 600 = 1500
• x + 600 = 1500
• 30x = 1500

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Julie bought 5 pairs of shoes and 4 blouses. The shoes were priced at $19 per pair and the blouses cost $16.50 each. Which equation can be used to find the total cost, t, she spent on the shoes and blouses?

• 5(16.50) + 4(19) = t
• 5(16.50) - 4(19) = t
• 4(16.50) + 5(19) = t
• 4(16.50) - 5(19) = t

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

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CCSS.6.NS.B.3