Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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The rate of change is constant in each table. Find the rate of change.
Explain what the rate of change means for the situation.
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1.
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Time (hours) | Distance (miles) | 4 | 260 | 6 | 390 | 8 | 520 | 10 | 650 | | |
a. |  ; Your car travels 65 miles every 1
hour. | b. | 10; Your car travels for 10 hours. | c. | The rate of change is determined by the formula
r*t = D | d. |  ; Your car travels 65 miles every 1
hour. |
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Find the slope of the line.
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2.
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Find the slope of the line that passes through the pair of points.
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3.
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(1, 7), (10, 1)
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4.
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(–5.5, 6.1), (–2.5, 3.1)
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State whether the slope is 0 or undefined.
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5.
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6.
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7.
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 Use the graph.
a. Which
plant was the tallest at the beginning? b. Which plant had the greatest rate of change over
the 6 weeks? a. | plant 1; plant 3 | c. | plant 2; plant 3 | b. | plant 3; plant 3 | d. | plant 3; plant
2 |
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Find the slope and y-intercept of the line.
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8.
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14x + 4y = 24
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Write the slope-intercept form of the equation for the line.
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9.
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Match the equation with its graph.
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10.
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–7x + 7y = –49
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Graph the equation.
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11.
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y = –3
a. |  | b. |  |
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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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12.
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(4, –6); m = 
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13.
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In February, you have a balance of $270 in your bank account. Each month you
deposit $45. Let January = 1, February = 2, and so on. Write an equation for this
situation. Use the equation to find the balance in June.
a. | y = 45(x – 4); $180 | b. | y – 270 = 45(x
– 2) ; $450 |
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Write the equation of a line that is perpendicular to the given line and that
passes through the given point.
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14.
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4x – 12y = 2; (10, –1)
a. | y =  x + 29 | b. | y =  x + 29 |
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15.
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 ; (–6, 5) a. |  | b. |  |
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16.
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Assume that the two lines are perpendicular.  a.
Find a slope-intercept equation for line A. b. Find a point-slope equation for line
B. a. |  | b. |  |
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17.
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Which graph shows the best trend line for the following data.  a. |  | b. |  |
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Write an equation for each translation of  .
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18.
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6 units left
a. | y = | x | + 6 | b. | y = | x + 6
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19.
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Giselle pays $210 in advance on her account at the athletic club. Each time she
uses the club, $15 is deducted from the account. Model the situation with a linear function and a
graph.
a. | 
b = 210 –
15x | c. | 
b = 195 +
15x | b. | 
b = 210 +
15x | d. | 
b = 195 – 15x |
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20.
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A balloon is released from the top of a building. The graph shows the height of
the balloon over time.  a. What does the slope and
y-intercept reveal about the situation? b. For a similar situation, the slope 35 is and the
y-intercept is 550. What can you conclude? a. | The balloon starts at a height of 500, and rises at a rate of 100; The balloon starts
at a heigh of 550, and rises at a rate of 35. | b. | The balloon starts at a height of 500, and
rises at a rate of 100; The balloon starts at a heigh of 35, and rises at a rate of
550. | c. | The balloon starts at a height of 100, and rises at a rate of 500; The balloon starts
at a heigh of 550, and rises at a rate of 35. | d. | The balloon starts at a height of 100, and
rises at a rate of 500; The balloon starts at a heigh of 35, and rises at a rate of
550. |
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