Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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The slope of a line is  . What is the slope of a line that is
parallel to this line?
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2.
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Which graph represents the equation  ?
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3.
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Write an equation in slope-point form for this line. 
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4.
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Which equation is equivalent to  ?
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5.
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Jon has x egg cartons that hold 12 eggs and y egg cartons that
hold 18 eggs. He uses these cartons to store 72 eggs. Which equation represents the relation?
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6.
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Determine the slope of this line segment. 
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7.
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Is the slope of this line segment positive, negative, zero, or not
defined?  a. | positive | c. | zero | b. | negative | d. | not defined |
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8.
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Determine the slope of the line that is parallel to this line segment. 
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9.
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The slope of this line is  . What is the equation of the
line?  a. | y =  | c. | y =  | b. | y =  | d. | y = x 
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10.
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Predict what will be common about the graphs of these equations.
i)
y = 3x + 6
iii) y = 3x – 6
ii)
y = 3x – 5
iv) y = 3x + 5
a. | All the graphs will have the same slope. | c. | All the graphs will have the same
y-intercept. | b. | All the graphs will have the same
x-intercept. | d. | None of
the above. |
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11.
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To join a tennis club, Josephine pays a start-up fee of $130, plus a monthly fee
of $24. Write an equation to represent the total cost, C dollars, for t months of
membership.
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12.
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Write an equation to describe this graph. 
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13.
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Write an equation for the graph of a linear function that has slope 1 and
y-intercept 8.
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14.
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Use the equation  to calculate the value of y when  .
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15.
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Determine the slope and y-intercept of this graph.  a. | slope:  ; y-intercept: –1.5 | c. | slope:  ;
y-intercept: 1.5 | b. | slope:  ; y-intercept:
1.5 | d. | slope:  ;
y-intercept: –1.5 |
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16.
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Determine the y-intercept of the graph of this equation:  a. | 3 | c. | 23 | b. |  | d. |  |
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17.
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Write an equation for the line that passes through T(–3, 3) and is
parallel to the line  .
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18.
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Write an equation for the line that passes through U(3, –7) and is
perpendicular to the line  .
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19.
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In which form is the equation  written? a. | Standard form | c. | General form | b. | Slope-intercept form | d. | Slope-point
form |
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20.
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Determine the slope of the line with this equation: 
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Short Answer
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21.
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A line has x-intercept –8 and y-intercept 5. Determine the
slope of a line perpendicular to this line.
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22.
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The total cost for a cheese of the month club is a flat fee of $15, plus $9.50
per month. Write an equation to represent the total cost, C dollars, for m months of
membership.
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23.
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For each equation, identify the slope and y-intercept of its graph. i)
 ii)  iii) 
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24.
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Write an equation in slope-point form for this line. 
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25.
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Desmond works as a babysitter for two families. Family A pays $5.75 per hour.
Family B pays $7.5 per hour. Last weekend, Desmond earned $75. Write an equation in general form for
the relation.
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Problem
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26.
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a) Determine the rise, run, and slope of this line segment.  b) Draw a line segment whose slope is: i)
zero ii) not defined iii) the
same as the slope of the line segment in part a 
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27.
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Identify the graph below that corresponds to each given slope and
y-intercept. a) slope  ; y-intercept
0 b) slope  ; y-intercept  c)
slope 4; y-intercept 0 d)
slope  ; y-intercept 0 Graph A
 | Graph B
 | Graph C
 | Graph D
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28.
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In Jay’s business, the annual cost of operating a car, c, is a
linear function of the number of kilometres the car is driven, k. The annual cost of operating
a car that has been driven 19 375 km is approximately $3875. The annual cost of operating a car that
has been driven 20 000 km is approximately $3900. a) Write an
equation in slope-point form to represent this function. b)
Use the equation in part a to determine how many kilometres a car has
been driven when the annual operating cost is approximately $4350.
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29.
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Write an equation in general form for the line that passes through A(3,
–4) and B(11, 8).
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30.
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Charles’s Gas Law states that the volume, v, of a fixed mass of gas
at a constant pressure varies directly with its absolute temperature, t. At 27°C, the
volume of a certain amount of air is 500 mL. When the air is heated to 90°C, the volume
increases to 605 mL.
a) Write an equation in general form for this
relation.
b) Determine the volume of the air when its temperature
is 60°C.
c) Determine the temperature of the air when its
volume is 1010 mL.
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