Writing Two-Step Equations

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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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.3

Which equation represents the total cost of a repair by an electrician after x hours?
An electrician charges $90 per hour plus a $50 travelling fee.

• y = 50 - 90x
• y = 90x + 50
• y = -50x + 90
• y = -90 - 50x

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

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

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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

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. How many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

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

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CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Zorna weighs 92 pounds. Her weight is 6 pounds more than half of her father's weight. Which equation would help me find out how much her father weighs?

• 6x + 2 = 92
• x + 6 = 92
• 2x + 6 = 92
• x/2 + 6 = 92

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CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Eddie scored 27 points more than half of what Duncan scored. Eddie scored 58 points. Which equation represents the situation to find how many points Duncan scored?

• 1/2d + 27 
• d + 27 = 58
• 1/2d + 27 = 58
• 1/2d - 27 = 58

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CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

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

The temperature in the ice rink must stay at 40°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Let x represent the number of hours the cooling device was on.

• 40 + 3.5x = 71

• 71 - 3.5x = 40

• 71 - 3.5x = 40

• 71 + 3.5x = 40

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7