MATH 106 QUIZ 2 NAME_________________________________
Instructor:

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) (8 pts) Determine which of the following points lie on the graph of the linear equation 10x-42=y.
A) (5, 8)
B) (-4, 20)
C) (10, -4)
D) (0, -4)

2) (8 pts) -5 is the slope of which line passing through each pair of points.
A) (–2, 0) and (3, 1)
B) (–1, 2) and (2, 2)
C) (0, 4) and (1, –1)
D) (3, 4) and (3, 1)

3) (8 pts) Which of the following points DOES NOT satisfy the linear inequality x – 3y = 4?
A) (2, -3)
B) (1, -1)
C) (2, 3)
D) (0, -3)

4) (8 pts) Find the y-intercept of the line -2y -x = 12.
A) (0, -6)
B) (0, 6)
C) (3, 0)
D) (-6, 0)
5) (8 pts) Find the y-intercept of the line passing through the point (7, 16) and having slope 2/7.
A) (0, 24/7)
B) (0, 14)
C) (0, -4)
D) (0, 12)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

6) (10 points) The maximum recommended slope of a wheelchair ramp is 1/12. A business is installing a wheelchair ramp that rises 26 inches over a horizontal length of 24 feet. Is the ramp steeper than recommended or not? (Source: Americans with Disabilities Act Handbook)
7) The cost to run a TV factory depends on the number of items produced. The factory’s fixed cost is $8,000 each month in addition to $160 for each TV produced.
(a) (5 pts) Write an equation relating y, the factory’s costs, to x, the number of TV’s produced.

(b) (5 pts) When will the factory’s costs reach $24,000?
8. (10 pts)Solve the system of linear equations
2x + y = 5
y = x – 1

9) (10 pts) Find the equation for the line through (1, 2) and (2, 11)

10) (20 pts) Write an equation of each line in slope-intercept form.