Short Answer
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Find the slope of the line that passes through the pair
of points.
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1
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(5, 6), (10, –2)
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Solve the equation.
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2
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3
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5x – 6 = 4x – 5
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4
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5
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Rick’s car holds 16 gallons of gasoline in the
tank. When he drives on the highway, he uses about 1.9 gallons each hour. If Rick begins with a
full tank of gas on a long highway trip to visit his brother, write an equation that can be used to
calculate how much gas (g) is in the tank after h hours of driving.
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6
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Write an equation for the line shown below.
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7
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A balloon takes off from a location that is 44 ft above sea
level. It rises 49 ft/min. Write an equation to model the balloon’s elevation (h) at
time (t).
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8
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Write the following inequality in slope-intercept
form.
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Write an equation in point-slope form for the line
through the given point with the given slope.
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9
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(5, –3); m = 
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10
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A 5-mi cab ride costs $7.20. A 8-mi cab ride costs $10.50.
Find a linear equation that can be used to calculate the cost (c) at distance
(d).
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11
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Kristen earns $8.00 per hour at her part-time job. The
linear graph below shows how much she earns for working different numbers of hours. Suppose she gets
a raise of $0.50 per hour. What part of the graph would change?
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Write the slope-intercept form of the equation for the
line.
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12
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Find the slope and y-intercept of the
line.
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13
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y =  x – 2
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14
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2x + 2y = –50
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Find the x- and y-intercept of the
line.
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15
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–10x – 5y = 70
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16
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Write an equation that can be used to reflect the data in
the table below?
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Solve the proportion.
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17
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18
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Write an equation for a line with a slope of  and a
y-intercept of –5.
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19
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What is the slope of the line segment graphed
below?
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Write the linear inequality shown in the
graph.
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20
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21
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22
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Write an equation for the graph
shown below. 
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Graph the inequality on a coordinate
plane.
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23
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Which of the following points does not belong to
the graph of  ?
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24
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A community recreation center charges a fixed fee of $150
plus $35 per hour to rent their facilities. Write an equation that shows the total cost (t) of
renting the recreation center for h hours.
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Solve the equation or formula for the indicated
variable.
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25
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The formula for the time a traffic light remains yellow is
 , where t is the time in seconds and s is the speed limit in miles per
hour.
| a. | Solve the equation for s. | | b. | What is the speed limit at a traffic light that remains yellow for 6
seconds? | | |
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