Level 1 (5.1) Writing Two-Step Equations

Cole buys a new laptop for $335. He makes a down payment of $50 and pays the rest in 6 equal payments, p. What equation represents the relationship between the cost of the laptop and Cole's payments?

• 6p + 50 = 335

• 50p + 6 = 335

• 6p - 50 = 335

• 50p - 6 = 335

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CCSS.HSA.CED.A.3

Claire bought 8 tickets for a total cost of $104. She had used a coupon code to get $3 off each ticket. Let x be the original cost of each ticket. Which of the following equations correctly represents the situation?

• 3(x - 8) = 104

• 8(x - 3) = 104

• 8x - 3 = 104

• 8x - 24 = 104

• 3x - 8 = 104

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CCSS.HSA.CED.A.3

At the mall, Claire buys a hat that is 60% off and socks that are reduced to $5.49. She spends a total of $9.49. Let x represent the cost of the hat. Which equation correctly represents Claire's shopping trip?

• 0.4x + 5.49 = 5.09

• 0.4x + 5.49 = 9.49

• 0.6x + 5.49 = 6.09

• 0.6x + 9.49 = 5.49

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CCSS.HSA.CED.A.3

Jordan wrote the following description: Three fewer than one fourth of x is 12. Write an equation to represent the description.

• 3 - 1/4x = 12

• 1/4x - 3 = 12

• 3 - 4x = 12

• 4x - 3 = 12

At a graduation dinner, an equal number of guests were seated at each of 3 large tables, and 7 late guests were seated at a smaller table. There were 37 guests in all. If n represents the number of people seated at each of the large tables, which equation represents the situation?

• 3n + 7 = 37

• 7n + 3 = 37

• 37 - 7 = 3n

• 7n - 3 = 37

• 3n - 7 = 37

Tags

CCSS.HSA.CED.A.3

Last night, 4 friends went out to dinner at a restaurant. They split the bill evenly. Each friends paid $12.75 for their meal and each left the same amount for a tip, t. The total amount for all 4 was $61. What was the tip amount for one person? Which equations could you use to describe the situation?

• 4t + 12.75 = 61

• (4t + 51)/2 = 61

• 4t + 51 = 61

• 4(t + 12.75) = 61

• t + 12.75 = 15.25

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CCSS.HSA.CED.A.3

Mia buys 4.2 pounds of plums. The total cost after using a coupon for 55 cents off her entire purchase was $3.23. If c represents the cost of the plums in dollars per pound, what equation could represent the situation?

• 4.2c + 0.55 = 3.23

• 3.65c = 3.23

• 4.75c = 3.23

• 4.2c - 0.55 = 3.23

• 4.2c - 55 = 3.23

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CCSS.HSA.CED.A.3

Amy wants to buy a pet iguana. The Iguana costs $48, and she already has $12. She plans on saving $9 per week. Which equation represents the situation?

• 9w + 12 = 48

• 12w + 9 = 48

• 9w - 12 = 48

• 12w - 9 = 48

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CCSS.HSA.CED.A.3

A garden contains 135 flowers, each of which is either red or yellow. There are 3 beds of yellow flowers and 3 beds of red flowers. There are 30 yellow flowers in each yellow flower bed. Which equations can represent the situation?

• 3x + 90 = 135

• 3x + 30 = 135

• 6x + 30 = 135

• 6(x + 5) = 135

• 3(x + 30) = 135

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CCSS.HSA.CED.A.3

Mrs. Ptak's class is going on a field trip to the museum. The trip costs $36.50 per student. The cost includes $9.50 for a special exhibit, one entrance ticket, and one gift shop voucher. The gift shop voucher is good for 50% of the cost of the entrance ticket. Which equation would help us find the cost of the entrance ticket?

• 9.5 - 0.5x = 36.50

• 9.5 - 1.5x = 36.50

• 9.5 + 1.5x = 36.50

• 9.5 + 0.5x = 36.50

Tags

CCSS.HSA.CED.A.3