Algebra Work Problems

Write an Equation.
Gold costs $1,654 per ounce. How many ounces are needed to be worth $16,540?

• 1,654x = 16,540

• x/1,654 = 16,540

• x - 1,654 = 16,540

• x + 1,654 = 16,540

Write an Equation.
Joella makes $12.75 per hour. This is $2.50 more than her younger sister makes per hour. How much does Joella's sister make per hour?

• x + 2.50 = 12.75

• 2.50x = 12.75

• x - 2.50 = 12.75

• x/2.50 = 12.75

Write an Equation.
Three-fourths of the students in honors algebra are eighth graders. There are 21 eighth graders in honors algebra. How many total students are in honors algebra?

• 3/4x = 21

• 21x = 3/4

• x + 3/4 = 21

• x - 3/4 = 21

Write an Equation.
The population of Australia in January, 2013, was about 23 million. If the population of the United States then, divided by 13.7, was approximately equal to the population of Australia, what was the population of the United States?

• x/13.7 = 23

• 13.7x = 23

• x + 13.7 = 23

• x - 13.7 = 23

Write an Equation.
Devery is going on a rafting trip. She has rafted 12 miles and has 16 miles left to go. How many miles long is the trip?

• x − 12 = 16

• 12x = 16

• x/12 = 16

• x + 12 = 16

Write an Equation.
Sandy was playing a word game. Her total score for the last 7 turns was 154 points. What was her average score per turn?

• 7x = 154

• x/7 - 154

• x + 7 = 154

• x - 7 = 154

Jacob collects hats. He has 6 hats already and collects 2 more hats each week. How many week would it take Jacob to collect 32 hats?

• 13 weeks

• 12 weeks

• 14 weeks

• 11 week

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

• 105 = x(35 + 0.75)

• 105 = 35x + 0.75

• 105 = 0.75x + 35

• 105 = 0.75(x + 35)

Bob has $150 in his savings account and saves $40 per month. Which of the following equations would be accurate if Bob has saved $400?

• 400 = 150 + 40

• 400 = 150 + 40x

• 400 = 150x + 40

Jerry has $20 and makes $7 per hour mowing lawns. By the end of the day Jerry has $62. How many hours did Jerry work today?

• 6 hours

• 7 hours

• 8 hours

• 9 hours