Word Problems to Equations

Lenny makes $55,000 and is getting annual raises of $2,500. Karl makes $62,000, with annual raises of $2,000. What equation shows how long it will take for Lenny and Karl to make the same salary?

• 55,000x + 2,500 = 62,000x + 2,000
• 2,500x + 55,000 = 2,000x + 62,000
• 55,000 - 2,500x = 62,000 - 2,000x
• 55,000 + 2,000x = 62,000 + 2,500x

At one store a trophy costs $12.50. Engraving costs $0.40 per letter. At another store, the same trophy costs $14.75. Engraving costs $0.25 per letter. Write an equation for how many letters the costs will be the same.

• 12.50 + 0.40 = 14.75 + 0.25
• 12.50x + 0.40 = 14.75x + 0.25
• 12.50 + 0.40x = 14.75 + 0.25x
• 0.40x - 12.50 = 0.25x - 14.75

On Saturday, you bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz, where the shoe rental is $5 and each game bowled is $3.25. If you spent the same amount each day, how many games were bowled? Write an equation.

• 2x + 3.50 = 5x + 3.25

• 3.50x + 2 = 3.25x + 5

• 2x - 3.50 = 5x - 3.25

• 3.50x - 2 = 3.25x - 5

A handyman charges $150 plus $25 per hour for house painting. A painter charges $55 per hour. How many hours would a job have to take for the handyman's fee and the painter's fee to be the same? Write an equation.

• 25x + 150 = 55x

• 150x + 25 = 55x

• 25x + 150 = 55

• 55x + 150 = 25

A Southwest airplane starts at 2,000 feet above sea level and descends 100 feet every minute. A Delta airplane starts at 2,400 feet above sea level and descends 150 feet every minute. When will the planes be at the same altitude? Write and equation.

• 2000x - 100 = 2400x - 150

• 2000 - 100x = 2400 - 150x

• 2000 + 100x = 2400 + 150x

• 2000x + 100x = 2400x + 150