Translating Equations and Word Problems

At the bowling alley, Mary spent $6 on shoe rental and had to pay $4 per game. Select the equation below that represents Mary's total cost, y, for x number of games bowled.

• y = 6 - 4x

• y = 10x

• y = 6x + 4

• y = 4x + 6

Lori pays $24.99 per month and $0.50 per text. What equation represents Lori's monthly cost where x is the number of texts and y is the monthly cost.

• y = .50x + 24.99

• y = 24.99x + .50

• y = 24.99x

• y = .50x

Maya earned 10 points extra credit on her next test. Each question is worth 4 points. Which equation below matches this situation where x is the number of questions and y is the total amount of points earned.

• x = 4y + 10

• y = 10x + 4

• y = 14x

• y = 4x + 10

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how much was each pen?

• 12.5x +9 = 43.73

• 73.43 = 12.5x + 9

• 12.5 - 9x = 43.73

• 43.73 = 12.5 + 9x

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

Andy is selling t-shirts to raise money for a missions trip. It costs him $50 to purchase the t-shirts he wants to sell. Andy wants to sell each t-shirt for $10.50 and hopes to make a profit of $1,252. Choose the correct equation and solution below that will help determine the number of t-shirts Andy should sell.

• 10.50x + 50 = 1,252; Andy must sell 115 t-shirts.

• 10.50x + 50 = 1,252; Andy must sell 124 t-shirts.

• 10.50x - 50 = 1,252; Andy must sell 124 t-shirts.

• 10.50x - 50 = 1,252; Andy must sell 115 t-shirts.

Sarah earns $20 upfront and $6 an hour. Select the equation that models this situation where x is the number of hours worked and y is the total money earned.

• y = 20x + 6

• y = 6x + 20

• y = 6x

• y = -6x + 20

Corey weighed 250 pound when he started his fitness routine and consistently lost 3 pounds per week. Select the equation below that models this situation where x is the number of weeks and y is total weight.

• y = 3x + 250

• y = 250 + 3x

• y = 250x + 3

• y = -3x + 250