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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 as long as the longest piece. The mid-length piece is 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) =

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 =

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

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

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

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

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

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