Write Two-Step Equation

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

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

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

Find the solution:
10 = 4x - 2

• x = 3

• x = 2

• x = -3

• x = -2

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

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

Four more than twice a number is 8.

• 8n + 4 = 2

• 4n + 2 = 8

• 2n + 8 = 4

• 2n + 4 = 8

Three more than four times a number is 15.

• 4x + 3 = 15

• 3x + 4 = 15

• 4x + 15 = 3

• 15x + 3 = 4

Five less than twice a number is 7.

• 7p - 5 = 2

• 2p - 5 = 7

• 2p - 7 = 5

• 5 - 2p = 7