ALLIED MAT110 MODULE 6 CHECK YOUR UNDERSTANDINGS

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
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2. Find the
slope of the following equation: y = 3x + 5
a. 3
b. 5
c. 0
d. 1
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3. If f(x) =
5×2 – 3x + 1, find f(–2).
a. -13
b. 15
c. -25
d. 27
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4. Graph
f(x) = 3x + 2.
a.
b.
c.
d.
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5.
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)
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6. Given
f(x) = –5x + 3, find f(a – 3).
a. –5a + 18
b. –5
c. a – 5
d. a + 18
7. Graph the
inequality. 3(x – y) + 2x < 3 a. b. c. d. 1 8. Find the slope of any line perpendicular to the line through points (5, 12) and (6, 2). a. -10 b. 10 c. - d. . 0 9. 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 1 10. Write the equation of the line passing through (–3, –4) and (–3, 3). Write your results in slope-intercept form, if possible. a. x = –3 b. y = –3 c. y = x – 3 d. y = 7x . 1 11. 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 12. 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 1 13. 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 1 14. 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 1 15. 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 0 16. 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 1 17. 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) 18. 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
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19.
Match the graph with one of the equations.

a.
b.
c.
d.
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20.
Match the graph with one of the equations.

a.
b. y = 3x
c.
d. y = x + 3