Variables in Word Problems Practice Problems
Practice
 Tony is three years older than Marie.
Marie’s age = ________
Tony’s age = ________
 Sandie is threefourths as tall as Mona.
Mona’s height (in the given unit of measure) = ________
Sandie’s height (in the given unit of measure) = ________
 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 = ________
 Threefifths of a couple’s net income is spent on rent
Net income = ________
Amount spent on rent = ________
 A rectangle’s length is four times its width
Width (in the given unit of measure) = ________
Length (in the given unit of measure) = ________
 Candice paid $5000 last year in federal and state income taxes.
Amount paid in federal income taxes = ________
Amount paid in state income taxes = ________
 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 = ________
 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 =________
 A boutique is selling a sweater for threefourths off retail.
Retail selling price = ________
Sale price = ________
 A string is cut into three pieces of unequal length. The shortest piece is as long as the longest piece. The midlength 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 midlength piece (in the given units) = ________
Solutions
 Marie’s age = x
Tony’s age = x + 3
 Mona’s height (in the given unit of measure) = x
Sandie’s height (in the given unit of measure) =
 Number of hours Gina takes to compute her taxes = x
Number of hours Michael takes to compute his taxes = x + 2
 Net income = x
Amount spent on rent =
 Width (in the given unit of measure) = x
Length (in the given unit of measure) = 4x
 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)
 Amount in checking account = x
Amount in CD = 8000 – x
(Or x = amount in CD and 8000 – x = amount in checking account)
 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)
 Retail selling price = x
 Length of the longest piece (in the given units) = x
Length of the shortest piece (in the given units) =
Length of the midlength piece (in the given units) =
Practice problems for this concept can be found at: Algebra Introduction to Variables Practice Test.
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