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Algebra Word Problems Practice Questions Set 4

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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. 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.
    1. 13.5 inches
    2. 37.5 inches
    3. 14.5 inches
    4. 15 inches
  2. The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram.
    1. 15 cm
    2. 11 cm
    3. 5 cm
    4. 10 cm
  3. Jackie invested money in two different accounts, one of which earned 12% interest per year and another that earned 15% interest per year. The amount invested at 15% was 100 more than twice the amount at 12%. How much was invested at 12% if the total annual interest earned was $855?
    1. $4,100
    2. $2,100
    3. $2,000
    4. $4,000
  4. Kevin invested $4,000 in an account that earns 6% interest per year and $x in a different account that earns 8% interest per year. How much is invested at 8% if the total amount of interest earned annually is $405.50?
    1. $2,075.00
    2. $4,000.00
    3. $2,068.75
    4. $2,075.68
  5. Megan bought x pounds of coffee that cost $3 per pound and 18 pounds of coffee at $2.50 per pound for the company picnic. Find the total number of pounds of coffee purchased if the average cost per pound of both types together is $2.85.
    1. 42
    2. 18
    3. 63
    4. 60
  6. The student council bought two different types of candy for the school fair. They purchased 40 pounds of candy at $2.15 per pound and x pounds at $1.90 per pound. What is the total number of pounds they bought if the total amount of money spent on candy was $162?
    1. 42
    2. 40
    3. 80
    4. 52
  7. The manager of a garden store ordered two different kinds of marigold seeds for her display. The first type cost her $1 per packet and the second type cost $1.26 per packet. How many packets of the first type did she purchase if she bought 50 more of the $1.26 packets than the $1 packets and spent a total of $402?
    1. 150
    2. 200
    3. 250
    4. 100
  8. Harold used a 3% iodine solution and a 20% iodine solution to make a 95- ounce solution that was 19% iodine. How many ounces of the 3% iodine solution did he use?
    1. 5
    2. 80
    3. 60
    4. 20
  9. A chemist mixed a solution that was 34% acid with another solution that was 18% acid to produce a 30-ounce solution that was 28% acid. How much of the 34% acid solution did he use?
    1. 27
    2. 11.25
    3. 18.75
    4. 28
  10. Bob is 2 years from being twice as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen?
    1. 15
    2. 10
    3. 18
    4. 20
  11. Sam's age is 1 less than twice Shari's age. The sum of their ages is 92. How old is Shari?
    1. 48
    2. 32
    3. 65
    4. 31
  12. 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?
    1. $4.50
    2. $4.00
    3. $1.50
    4. $5.50
  13. Two angles are complementary. The larger angle is 15° more than twice the smaller. Find the measure of the smaller angle.
    1. 25°
    2. 65°
    3. 90°
    4. 82.5°
  14. The cost of a student ticket is $1 more than half of an adult ticket. Six adults and four student tickets cost $76. What is the cost of one adult ticket?
    1. $2.50
    2. $3.00
    3. $5.50
    4. $4.00
  15. Three shirts and five ties cost $23. Five shirts and one tie cost $20. What is the price of one shirt?
    1. $3.50
    2. $2.50
    3. $6.00
    4. $3.00
  16. 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?
    1. 15x miles
    2. 15x2 miles
    3. 8x miles
    4. 8x2 miles
  17. If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference between the areas of the two sections in terms of a?
    1. a – 2
    2. 3a + 2
    3. a + 2
    4. 11a – 2
  18. Laura has a rectangular garden whose width is x3 and whose length is x4. In terms of x, what is the area of her garden?
    1. 2x7
    2. x7
    3. x12
    4. 2x12
  19. Jonestown High School has a soccer field whose dimensions can be expressed as 7y2 and 3xy. What is the area of this field in terms of x and y?
    1. 10xy2
    2. 10xy3
    3. 21xy3
    4. 21xy2
  20. The area of a parallelogram is x8. If the base is x4, what is the height in terms of x?
    1. x4
    2. x2
    3. x12
    4. x32
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