Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Write an algebraic expression for the statement. The total weight of
x bags of fertilizer if each bag weighs  pounds
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2.
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Complete the statement  . State the
property of algebra that is used.
a. |  Distributive
Property | b. |  Commutative Property of
Multiplication | c. |  Associative Property of
Multiplication | d. |  Commutative Property of
Multiplication | e. |  Associative Property of
Multiplication |
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3.
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Use the Distributive Property to expand  .
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4.
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Combine like terms to simplify the expression  .
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5.
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Find an algebraic expression for the verbal phrase below. The difference
between 3 times a number x and 
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6.
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Translate the phrase into an algebraic expression. A number x
divided by 
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7.
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Translate the phrase “Three times the difference of a number and  ”into an algebraic expression. Let x represent the real number.
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8.
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Write a verbal description of the algebraic expression  ,
without using a variable.
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9.
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Translate the phrase into an algebraic expression and simplify the
expression. The square of x is added to the product of x and  .
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10.
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An airplane travels at the rate of r miles per hour for 
hours. Write an algebraic expression that represents the total distance (in miles) traveled by the
airplane.
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11.
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The information given is the interest rate and an expression for the balance in
an account. Guess, check, and revise to determine the time (to one tenth of a year) necessary for the
investment of $  to double. Interest rate:  %  a. |  years | b. | 
years | c. |  years | d. | 
years | e. |  years |
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12.
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The dimensions of a rectangular plot of land are  feet by  feet. The property owner decides to sell a rectangular strip x feet wide along one
 -foot side of the land. Write an expression for
the area of the land that remains in the owner's possession after the rectangular strip is sold
and simplify the expression. a. | Area  | b. | Area  | c. | Area  | d. | Area  | e. | Area  |
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13.
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Find an equation that has  as a solution.
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14.
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Use a calculator to find an equation that has  as a
solution.
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15.
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Use a calculator to find an equation that has  as a
solution.
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16.
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Justify Step 6 of the solution.  | Step 1 |  | Step
2 |  | Step 3 |  | Step
4 |  | Step 5 |  | Step 6 |  | Step
7 |  | Step 8 | | |
a. | Distributive Property | b. | combine like terms. | c. | original
equation | d. | group like terms. | e. | solution |
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17.
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Write a verbal description of the algebraic equation  , without
using a variable. a. | The difference of  and a number, all multiplied by  , is  . | b. | The difference of a
number and  , all divided by  , is  . | c. | The difference of  and a number, all divided by  ,
is  . | d. | The difference of a
number and  , all divided by  , is  . | e. | The difference of  and a number, all multiplied by  , is  . |
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18.
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Simplify  and state the units on the simplified
value. a. |  dollars | b. | 
units | c. |  | d. |  units | e. | 
dollars |
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19.
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Solve the equation. 
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20.
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Solve the equation. 
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