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Variables in Word Problems Help (page 2)

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By — McGraw-Hill Professional
Updated on Sep 27, 2011

Variables in Word Problems Practice Problems

Practice

  1. Tony is three years older than Marie.

    Marie’s age = ________

    Tony’s age = ________

  2. Sandie is three-fourths as tall as Mona.

    Mona’s height (in the given unit of measure) = ________

    Sandie’s height (in the given unit of measure) = ________

  3. Michael takes two hours longer than Gina to compute his taxes.

    Number of hours Gina takes to compute her taxes = ________

    Number of hours Michael takes to compute his taxes = ________

  4. Three-fifths of a couple’s net income is spent on rent

    Net income = ________

    Amount spent on rent = ________

  5. A rectangle’s length is four times its width

    Width (in the given unit of measure) = ________

    Length (in the given unit of measure) = ________

  6. Candice paid $5000 last year in federal and state income taxes.

    Amount paid in federal income taxes = ________

    Amount paid in state income taxes = ________

  7. Nikki has $8000 in her bank, some in a checking account, some in a certificate of deposit (CD).

    Amount in checking account = ________

    Amount in CD = ________

  8. A total of 450 tickets were sold, some adult tickets, some children’s tickets.

    Number of adult tickets sold = ________

    Number of children’s tickets sold =________

  9. A boutique is selling a sweater for three-fourths off retail.

    Retail selling price = ________

    Sale price = ________

  10. A string is cut into three pieces of unequal length. The shortest piece is Word Problems Practice as long as the longest piece. The mid-length piece is Word Problems Practice the length of the longest piece.

    Length of the longest piece (in the given units) = ________

    Length of the shortest piece (in the given units) = ________

    Length of the mid-length piece (in the given units) = ________

Solutions

  1. Marie’s age = x

    Tony’s age = x + 3

  2. Mona’s height (in the given unit of measure) = x

    Sandie’s height (in the given unit of measure) = Word Problems Solutions

  3. Number of hours Gina takes to compute her taxes = x

    Number of hours Michael takes to compute his taxes = x + 2

  4. Net income = x

    Amount spent on rent = Word Problems Solutions

  5. Width (in the given unit of measure) = x

    Length (in the given unit of measure) = 4x

  6. Amount paid in federal income taxes = x

    Amount paid in state income taxes = 5000 – x

    (Or x = amount paid in state income taxes and 5000 – x = amount paid in federal taxes)

  7. Amount in checking account = x

    Amount in CD = 8000 – x

    (Or x = amount in CD and 8000 – x = amount in checking account)

  8. Number of adult tickets sold = x

    Number of children’s tickets sold = 450 – x

    (Or x = number of children’s tickets and 450 – x = number of adult tickets)

  9. Retail selling price = x

    Word Problems Solutions

  10. Length of the longest piece (in the given units) = x

    Length of the shortest piece (in the given units) = Word Problems Solutions

    Length of the mid-length piece (in the given units) = Word Problems Solutions

Practice problems for this concept can be found at: Algebra Introduction to Variables Practice Test.

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