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Question
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1.
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Find the slope of any line perpendicular to the line through points (5, 12) and (6, 2).
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a. -10
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b. 10
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c. -![http://student.allied.edu/uploadedfiles/Images/2ccdb75f-1cd4-415c-8505-5d7b4e14c334.gif]()
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d. ![http://student.allied.edu/uploadedfiles/Images/cc1d7abb-1473-476e-a8e5-39b19c8c920b.gif]()
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2.
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Find the slope of the following equation: y = 3x + 5
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3.
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Graph f(x) = 3x + 2.
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4.
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Given f(x) = –5x + 3, find f(a – 3).
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a. –5a + 18
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b. –5
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c. a – 5
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d. a + 18
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5.
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Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)
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a. Parallel
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b. Perpendicular
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c. Neither
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6.
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Write the equation of the line passing through (–3, –4) and (–3, 3). Write your results in slope-intercept form, if possible.
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a. x = –3
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b. y = –3
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c. y = x – 3
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d. y = 7x
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7.
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Find the y-intercept of the line represented by the following equation:
7x – y = –7
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a. (1, 0)
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b. (0, 7)
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c. (7, 0)
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d. (0, 1)
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8.
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Write the equation of the line with slope –6 and y-intercept (0, 9).
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a. y = 9x – 6
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b. 9x – 6y = 0
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c. y = –6x + 9
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d. –6y = 9
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9.
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You have at least $50 in change in your piggy bank, consisting of nickels and pennies. Write an inequality that shows the different number of coins in your piggy bank.
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a. 5n + p > 5,000
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b. 5n + p > 5,000
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c. 5n + p > 50
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d. 5n + p > 50
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10.
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Write the equation of the line with x-intercept (–4, 0) and undefined slope. Write your results in slope-intercept form, if possible.
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a. y = –4
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b. x = –4
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c. y = –4x
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d. x = 0
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11.
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Use the concept of slope to determine whether the given figure is a right triangle (i.e., does the triangle contain a right angle?).
![http://student.allied.edu/uploadedfiles/Images/b83b13c4-da0b-47df-b0cf-2573c710ada7.JPG]()
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12.
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A copier was purchased by a company for $9,500. After 2 years it is estimated that the value of the copier will be $8,300. If the value in dollars V and the time the copier has been in use t are related by a linear equation, find the equation that relates V and t.
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a. V = 600t + 9,500
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b. V = –600t + 9,500
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c. V = –600t – 9,500
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d. V = 600t – 9,500
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13.
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Rewrite the equation 2x – 3y = –6 as a function of x
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a. f(x) = ![http://student.allied.edu/uploadedfiles/Images/73257daf-e73b-4192-baf2-9967cb20c6e4.gif]() x + 2
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b. f(x) = ![http://student.allied.edu/uploadedfiles/Images/1aa41b0a-cee8-40c8-b718-966100b90097.gif]() x - 3
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c. f(x) = ![http://student.allied.edu/uploadedfiles/Images/cd4712ed-1de6-485c-86db-59b0109000ee.gif]() x - 6
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d. f(x) = ![http://student.allied.edu/uploadedfiles/Images/5c818464-cd0f-4372-83ce-a005e0f4b152.gif]() x + 6
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14.
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A line passing through (–9, –4) and (10, y) is perpendicular to a line with slope -![http://student.allied.edu/uploadedfiles/Images/c733817f-0366-4965-b952-5edd9cebe428.gif]() . Find the value of y.
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15.
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If f(x) = 5x2 – 3x + 1, find f(–2).
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a. -13
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b. 15
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c. -25
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d. 27
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16.
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Write the equation of the line that passes through point (0, –5) with a slope of –6.
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a. y = –5x – 6
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b. –5x – 6y = 0
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c. y = –6x – 5
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d. –6y = –5
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17.
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One day, the temperature at 7:00 A.M. was 41°F, and by 3:00 P.M. the temperature was 57°F. What was the hourly rate of temperature change?
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a. 1°F/h
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b. 2°F/h
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c. 3°F/h
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d. 4°F/h
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18.
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Determine which two equations represent parallel lines.
(a) y = –7x + 2
(b) y = 7x + 2
(c) y = ![http://student.allied.edu/uploadedfiles/Images/91a120db-3367-43c5-8cc3-c14ec4e19991.gif]() x + 2
(d) y = –7x + 6
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a. (a) and (b)
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b. (b) and (c)
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c. (a) and (c)
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d. (a) and (d)
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19.
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Graph the inequality. 3(x – y) + 2x < 3
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20.
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The inventor of a new product believes that the cost of producing the product is given by the function C(x) = 3.2x + 5,000 How much does it cost to produce 6,000 units of his invention?
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a. $300
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b. $3,000
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c. $24,200
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d. $2,420
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