Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Use the graphs of the equations  to determine the solution
(if any) of the system of linear equations.  a. |  | b. |  | c. |  | d. | infinitely many solutions | e. | no solution |
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2.
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Select the graphs of the equations below and
find solutions of the system of linear equations (if any). 
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3.
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Write the equations of the lines below in slope-intercept form. 
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4.
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Write the system of linear equation  in slope-intercept form.
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5.
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What can you conclude about the number of solutions of the system of linear
equations  that has a slope-intercept form  ? a. | one solution:  | b. | one solution:  | c. | one solution:  | d. | no solution | e. | infinitely many
solutions |
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6.
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A small company produces bird feeders that sell for  per unit. The
cost of producing each unit is  , and the company has fixed costs of  . Let the cost function  be the total cost to produce x bird
feeders and let the revenue function  be the total revenue from selling x
bird feeders. Graph the cost and revenue function and find the point of intersection of the
graphs.
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7.
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If possible, solve the system below by the method of substitution. 
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8.
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Solve the system of linear equations  by the method of
substitution.
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9.
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If possible, solve the system below by the method of elimination. 
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10.
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If possible, solve the system below by the method of elimination. 
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11.
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Use the most convenient method (graphing, substitution, or elimination) to solve
the system of linear equations. 
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12.
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Use the most convenient method (graphing, substitution, or elimination) to solve
the system of linear equations. 
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13.
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Consider the system of linear equations below.  Which value of k,  , would the system have no
solution. a. |  | b. |  |
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14.
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The sum of two numbers is  and the difference of the
two numbers is  . Use a system of linear equations to find two
numbers that satisfy the requirements.
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15.
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The sale price of a watch is  . The discount is  of the list price. Use a system of linear equations to find the list price.
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16.
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A fundraising dinner was held on two consecutive nights. On the first night,
 adult tickets and 
children's tickets were sold, for a total of  . On the second night,  adult tickets and  children's tickets were sold, for a total
of  . Find the price of each type of
ticket.
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17.
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The total time for a two-member team in a  -meter relay
race is  minutes. The first runner on the team averages
 meters per minute and the second runner
averages  meters per minute. For how many minutes did
the first runner keep the baton before passing it to the second runner? a. |  minutes | b. | 
minutes | c. |  minutes | d. | 
minutes | e. |  minutes |
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18.
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Find b such that the line  passes through the points
 and  .
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19.
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Graph the solution of the system of linear inequalities below. 
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20.
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Graph the solution of the system of linear inequalities below. 
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