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Algebra Word Problems Practice Questions Set 1

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Updated on Sep 26, 2011

Algebra Word Problems

Basic algebra problems ask you to solve equations in which one or more elements are unknown. The unknown quantities are represented by variables, which are letters of the alphabet, such as x or y. The questions in this set of practice problems give you practice in writing algebraic equations and using these expressions to solve problems.

  1. Assume that the number of hours Katie spent practicing soccer is represented by x. Michael practiced 4 hours less than 2 times the number of hours that Katie practiced. How long did Michael practice?
    1. 2x – 4
    2. 2x + 4
    3. 2x + 8
    4. 4x + 4
  2. 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?
    1. 3 – 4x
    2. 3x – 4
    3. 4x – 3
    4. 4 – 3x
  3. If the expression 9y – 5 represents a certain number, which of the following could NOT be the translation?
    1. five less than nine times y
    2. five less than the sum of 9 and y
    3. the difference between 9y and 5
    4. the product of nine and y, decreased by 5
  4. Susan starts work at 4:00 and Dee starts at 5:00. They both finish at the same time. If Susan works x hours, how many hours does Dee work?
    1. x + 1
    2. x – 1
    3. x
    4. 2x
  5. Frederick bought 11 books that cost d dollars each. What is the total cost of the books?
    1. d + 11
    2. d – 11
    3. 11d
  6. There are m months in a year, w weeks in a month and d days in a week. How many days are there in a year?
    1. mwd
    2. m + w + d
  7. 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?
    1. + h
    2. + x
    3. 2hx
  8. A long distance call costs x cents for the first minute and y cents for each additional minute. How much would a 10-minute call cost?
    1. 10xy
    2. x + 10y
    3. x + 9y
  9. Melissa is four times as old as Jim. Pat is 5 years older than Melissa. If Jim is y years old, how old is Pat?
    1. 4y + 5
    2. 5y + 4
    3. 4 × 5y
    4. y + 5
  10. 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?
    1. 48xy
    2. 40y + 8x
    3. 40x + 8y
    4. 48x + 48y
  11. Eduardo is combining two 6-inch pieces of wood with a piece that measures 4 inches. How many total inches of wood does he have?
    1. 10 inches
    2. 16 inches
    3. 8 inches
    4. 12 inches
  12. Mary has $2 in her pocket. She does yard work for four different neighbors and earns $3 per yard. She then spends $2 on a soda. How much money does she have left?
    1. $18
    2. $10
    3. $12
    4. $14
  13. Ten is decreased by four times the quantity of eight minus three. One is then added to that result. What is the final answer?
    1. –5
    2. –9
    3. 31
    4. –8
  14. The area of a square whose side measures four units is added to the difference of eleven and nine divided by two. What is the total value?
    1. 9
    2. 16
    3. 5
    4. 17
  15. Four is added to the quantity three minus the sum of negative seven and six. This answer is then multiplied by three. What is the result?
    1. 30
    2. –21
    3. 36
    4. 57
  16. John and Charlie have a total of 80 dollars. John has x dollars. How much money does Charlie have?
    1. 80
    2. 80 + x
    3. 80 – x
    4. x – 80
  17. The temperature in Hillsville was 20° Celsius. What is the equivalent of this temperature in degrees Fahrenheit?
    1. 43.1°
    2. 68°
    3. 132°
  18. Peggy's town has an average temperature of 23° Fahrenheit in the winter. What is the average temperature on the Celsius scale?
    1. –16.2°
    2. 16.2°
    3. –5°
  19. Celine deposited $505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years?
    1. $252.50
    2. $606
    3. $10,100
    4. $101
  20. A certain bank pays 3.4% interest per year for a certificate of deposit, or CD. What is the total balance of an account after 18 months with an initial deposit of $1,250?
    1. $765
    2. $2,015
    3. $63.75
    4. $1,313.75
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