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1.
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Name the property used to make the conclusion. If  , then  .
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2.
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a. | [1] Multiplication Property of Equality;
[2] Division Property
of Equality | c. | [1] Division Property of Equality;
[2] Addition Property of
Equality | b. | [1] Distributive Property;
[2] Division Property of
Equality | d. | [1]
Distributive Property;
[2] Multiplication Property of
Equality |
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3.
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Solve the equation and state a reason for each step. 
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4.
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Solve  .
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5.
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If  , find the value of  .
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6.
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A pipe is leaking at the rate of 32 fluid ounces per minute. Use unit analysis
to find out how many gallons the pipe is leaking per hour.
a. | 15,360 gal/h | c. | 15 gal/h | b. | 0.07 gal/h | d. | 68.27 gal/h |
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7.
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Solve  .
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8.
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Solve the equation. 
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9.
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Solve  .
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10.
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Solve  .
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11.
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Solve  .
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12.
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Solve  for  .
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13.
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Solve  for l.
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14.
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Solve  for  .
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15.
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You want to know the number of minutes that you can use on your $45.00 phone
card. The card company charges you $0.50 for the first minute and $0.05 for each additional minute.
Solve the formula  for m. Justify each step with an
algebraic property of equality.
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16.
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Use the distance formula to find the unknown value.  a. | 24 mi/h | b. | 26 mi/h | c. | 22
mi/h | d. | 20 mi/h |
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17.
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The formula  gives the profit p when a number of
items n are each sold at a cost c and expenses e are subtracted. If  ,  , and  , what is the
value of c?
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18.
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The Antolik family is having new carpet installed in the dining room. The carpet
costs $399 for installation and $17 for each square yard.
Part A: Write an equation
that can be used to find the number of square yards of carpet installed if the total cost is
$909.
Part B: Which operation do you perform first to solve the equation? Justify
your answer. How many square yards of carpet were installed?
Part C: If the Antolik
family has $1100 to spend, can they afford to have 40 square yards of carpet installed? Explain your
answer.
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