Module 6 Quiz

just the answers

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1.Graph the inequality. 3(x – y) + 2x < 3

a.

b.

c.

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d.

2. Write the equation of the line with x-intercept (–4, 0) and undefined slope. Write your results in slope-intercept form, if possible.

a. y = –4

b. x = –4

c. y = –4x

d. x = 0

3. Determine which two equations represent parallel lines.

(a) y = –7x + 2
(b) y = 7x + 2

(c) y = x + 2
(d) y = –7x + 6

a. (a) and (b)

b. (b) and (c)

c. (a) and (c)

d. (a) and (d)

4. 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?

a. $300

b. $3,000

c. $24,200

d. $2,420

5. Rewrite the equation 2x – 3y = –6 as a function of x

a. f(x) = x + 2

b. f(x) = x – 3

c. f(x) = x – 6

d. f(x) = x + 6

6. 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.

a. V = 600t + 9,500

b. V = –600t + 9,500

c. V = –600t – 9,500

d. V = 600t – 9,500

7. Determine which two equations represent perpendicular lines.

(a) y = x – 5

(b) y = 5x –

(c) y = – x +

(d) y = x –

a. (a) and (b)
b. (b) and (c)

c. (a) and (d)

d. (c) and (d)

8. 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?

a. 1°F/h

b. 2°F/h

c. 3°F/h

d. 4°F/h

9.
A line passing through (–9, –4) and (10, y) is perpendicular to a line with slope – . Find the value of y.

a. 5

b. 7

c. 8

d. 10

10. Are the following lines parallel, perpendicular, or neither?

L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)

a. Parallel

b. Perpendicular

c. Neither

11. Write the equation of the line with slope –6 and y-intercept (0, 9).

a. y = 9x – 6

b. 9x – 6y = 0

c. y = –6x + 9

d. –6y = 9

12. Find the slope of any line perpendicular to the line through points (5, 12) and (6, 2).

a. -10

b. 10

c. –

d.

13. Find the y-intercept of the line represented by the following equation:

7x – y = –7

a. (1, 0)

b. (0, 7)

c. (7, 0)

d. (0, 1)

14. 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.

a. 5n + p > 5,000

b. 5n + p > 5,000

c. 5n + p > 50

d. 5n + p > 50

15. Given f(x) = –5x + 3, find f(a – 3).

a. –5a + 18

b. –5

c. a – 5

d. a + 18

16. Match the graph with one of the equations.

a.

b.

c.

d.

17. Graph f(x) = 3x + 2.

a.

b.
c.
d.

18. Write the equation of the line that passes through point (0, –5) with a slope of –6.

a. y = –5x – 6

b. –5x – 6y = 0

c. y = –6x – 5

d. –6y = –5

19. Find the slope of the following equation: y = 3x + 5

a. 3

b. 5

c. 0

d. 1

20. If f(x) = 5×2 – 3x + 1, find f(–2).

a. -13

b. 15

c. -25

d. 27

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