Algebra Word Problems
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Algebra Word Problems
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25 Questions

1. Assume that the number of hours Katie spent practicing soccer is represented by x. Michael practiced 4 hours more than 2 times the number of hours that Katie practiced. How long did Michael practice?
2. When ten is subtracted from the opposite of a number, the difference between them is five. What is the number?
3. A farmer’s rectangular field has an area that can be expressed as the trinomial x^2 + 2x + 1. In terms of x, what are the dimensions of the field?
4. The sum of two integers is 36, and the difference is 6. What is the smaller of the two numbers?
5. Sally gets paid x dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. How much did Sally earn if she worked 48 hours?
6. Noel rode 3x miles on his bike and Jamie rode 5x miles on hers. In terms of x, what is the total number of miles they rode?
7. The area of a rectangle is 24 square inches. The length of the rectangle is 2 inches more than the width. How many inches is the width?
8. Carlie received x dollars each hour she spent babysitting. She babysat a total of h hours. She then gave half of the money to a friend who had stopped by to help her. How much money did Carlie have after she had paid her friend?
9. The product of 6x^2 and 4xy^2 is divided by 3x^3y. What is the simplified expression?
10. Patrick gets paid three dollars less than four times what Kevin gets paid. If the number of dollars that Kevin gets paid is represented by x, what does Patrick get paid?
11. A telephone company charges $.35 for the first minute of a phone call and $.15 for each additional minute of the call. Which of the following represents the cost y of a phone call lasting x minutes?
12. The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equals the lesser. What is the value of the lesser integer?
13. The height of a parallelogram measures 5 meters more than its base. If the area of the parallelogram is 36 m^2, what is the height in meters?
14. The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?
15. The perimeter of a rectangle is 104 inches. The width is 6 inches less than 3 times the length. Find the width of the rectangle. ?
16. The sum of the square of a number and 12 times the number is −27. What is the smaller possible value of this number?
17. At the school bookstore, two binders and three pens cost $12.50. Three binders and five pens cost $19.50. What is the total cost of 1 binder and 1 pen?
18. The cost of shipping a package through Shipping Express is $4.85 plus $2 per ounce of the weight of the package. Sally only has $10 to spend on shipping costs. Which of the following could Sally use to find the maximum number of ounces she can ship for $10?
19. Find the lesser of two consecutive positive even integers whose product is 168. ?
20. A number, x, increased by 3 is multiplied by the same number, x, increased b. 4. What is the product of the two numbers in terms of x?
21. The dimensions of a rectangular prism can be expressed as x + 1, x − 2, and x + 4. In terms of x, what is the volume of the prism?
22. The area of a parallelogram can be expressed as the binomial 2x^2 − 10x. Which of the following could be the length of the base and the height of the parallelogram?
23. A car travels at a rate of (4x^2 − 2). What is the distance this car will travel in (3x − 8) hours?
24. Two angles are complementary. The larger angle is 15° more than twice the smaller. Find the measure of the smaller angle. ?
25. If the difference between the squares of two consecutive integers is 15, find the larger integer.?

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