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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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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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

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Samuel bought 3 tires for $79.95 each and some rims for $59 each. He spent a total of $534.85. Which equation could be used to find the number of rims, r, Samuel bought?

• 3(79.95) - 59r = 534.85
• 79.95r - 59(3) = 534.85
• 3(79.95) + 59r = 534.85
• 79.95r + 59(3) = 534.85

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CCSS.6.EE.B.6

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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

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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

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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

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CCSS.6.EE.A.2

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9 increased by m is 15

• m + 15 = 9
• 9  + m = 15
• 9 x m = 15
• 9 + 15 = m

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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

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Solve if 3x + 5 = 4

• 1/3
• 2/3
• -1/3
• -2/3

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