Solve Equations Word Problems

Twice the difference of a number and 16 is equivalent to 28. 

• 2x + 16 = 28

• 2x - 16 = 28 

• 2(x + 16) = 28 

• 2(x - 16) = 28

Tim's high school played 14 football games this year. The team won most of their games. They were defeated during 2 games. Write an equation that could be used to find how many games they won.

• 14 + x = 2

• x - 2 = 14

• x + 2 = 14

• 14 + 2 = x

What is the first step to solve this equation:
-3x + 11 = 44

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

10 less that half a number is equivalent to 8.  

• 10 - 1⁄2x = 8 

• 1⁄2x + 10 = 8

• 1⁄2x - 10 = 8

• 10x - 0.5 = 8

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Jason says that 10 less than one third of his age is 11 years old.  How old is Jason?

• 3 years old

• 7 years old

• 57 years old

• 63 years old

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

• 150x + 50 = 375

• 375 = 50x + 150

• 150 = 50x + 375

• 50 + 150 = 375

Solve -2w + 10 = 56

• 23

• -23

• 33

• -33

Solve  3x - 7 = 32

• 13

• -13

• 12

• -12