Simplifying Rational Expressions
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Algebra Quiz Time
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A bakery sells cupcakes for $2 each. If the
cost of ingredients for x cupcakes is 0.5x,
write an expression for the profit made by
the bakery from selling x cupcakes.
a) 2x - 0.5x b) 2x + 0.5x
c) 1.5x d) 1.5x + 2
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A taxi company charges a base fee of $4
plus $1.50 per mile. If a customer travels x
miles, write an expression for the total fare.
a) 4 + 1.50x b) 4x + 1.50
c) $4x + 1.50 d) 4x + x
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A gym charges $20 per month plus an
additional $5 per class attended. If a person
attends x classes in a month, write an
expression for the total cost.
a) 20 + 5x b) 5x + 20
c) 25x d) 20x + 5
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A subscription service charges $15 per
month plus $2 per extra feature selected. If a
person selects x extra features, write an
expression for the total cost.
a) 15 + 2x b) 2x + 15
c) 17x d) 15x + 2
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A movie theater charges $10 for a ticket and
$2 for each 3D feature. If a person watches a
movie with x 3D features, write an
expression for the total cost.
a) 10 + 2x b) 12x
c) 10x + 2 d) 2x + 10
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A person buys a t-shirt for $12 each. If they
buy x t-shirts, write an expression for the
total cost of the purchase.
a) 12x b) x + 12
c) 12 + x d) x + 12x
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A photographer charges a base fee of $100
plus $20 per photo. If a customer buys x
photos, write an expression for the total cost
of the session.
a) 100 + 20x b) 20 + 100x
c) 100x + 20 d) 100 + x
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A delivery service charges $5 for each
package plus $3 per mile. If a delivery is x
miles, write an expression for the total
delivery cost.
a) 5 + 3x b) 5x + 3
c) 8x d) 3 + 5x
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A gardener charges a base fee of $30 plus
$10 per hour of work. If the gardener works
for x hours, write an expression for the total
cost of the gardening service.
a) 30 + 10x b) 10x + 30
c) 30x + 10 d) 40x
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A water park charges $15 for entrance and
$5 for each additional attraction. If a person
goes to x attractions, write an expression for
the total cost.
a) 15 + 5x b) 5x + 15
c) 20x d) 15x + 5
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Scan and solve all simplifying rational expressions problems
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heet/