Translating and Solving Equations

Solve for x:

2x -1(3+4x) = 11

• x = -4

• x = 7/3

• x = -7

• x = -17/8

Solve.

6(4x+2)= 3(8x+4)

• All Real Numbers

• No Solution

• 12

• 6

Solve.

-x-11 = 2x+4

• -5

• 3

• All Real Numbers

• 5

Solve -(4y-8) = 2(y+4)

• 0

• No Solution

• 6

• -2

Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.

• 96h = 8

• h/96 = 8

• 8h = 96

• h/8 = 96

Julie's car travels 27 miles per gallon of gasoline used. She recently traveled 324 miles. Which equation best represents how many gallons of gasoline used?

• x/27 = 324

• x + 27 = 324

• 324/x=27

• 27x=324

It costs $12 to go to the movies and 2.50 for each box of candy you want to buy. If you spent 50, how many boxes did you buy? Which equation can be used to solve this problem?

• 2.50 + 12x = 50

• 2.50 + 50x = 12

• 2.50x + 12 = 50

• 12 - 2.50x = 50

Carl is paid $24 plus $7 per hour to work at his uncle's ice cream shop. If he was paid $66 one day, how many hours did he work? Which equation can be used to solve this problem?

• 24+7 = 66x

• 24 + 7x = 66

• 24 + 7 - 66 = x

• 24x + 7 = 66

Jessica has $10 to spend at Target. She wants to buy some candy bars that cost $1.50 and one t-shirt that costs $6. What is the maximum number of candy bars she can buy? Which inequality can be used to solve this?

• 1.50 + 6c = 10

• 1.50c + 6 < 10

• 1.50 - 6c < 10

• 1.50c + 6 > 10

It costs $50 each month to own a cell phone, plus $5 for each additional line. How many lines can you afford if you can spend $70 on cell phones for family? Which equation can be used to solve this problem?

• 50x + 5x = 70

• 50 + 5x = 70

• 50 - 5x = 70

• 50x + 5 = 70