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Linear Functions Quiz

Total questions: 10

Worksheet time: 15mins

Name
Class
Date
1.

A direct variation is described by an equation of the form y = kx, where k = 0.

a)

True.

b)

False.

2.

Suppose you earn $188 for working 16 hours. What direct variation equation correctly relates your earnings to the number of hours worked?

a)

x = 11.75y

b)

y = 0.08x

c)

x = 0.08y

d)

y = 11.75x

3.

What linear equation matches the following graph?

a)

f(x) = 1/4x + 7

b)

f(x) = 2/3x + 4

c)

f(x) = 2/3x - 4

d)

f(x) = 7/8x - 6

4.

A hot air balloon was at the height of 80 feet above the ground when it began to ascend. The balloon then climbed a rate of 20 feet per minute. Make an algebraic equation for a sequence that can be used to find the height, h, of the balloon after t minutes. Use your equation to find the height, in feet, of the hot air balloon after climbing for 8 minutes.

a)

240 feet.

b)

300 feet.

c)

900 feet.

d)

100 feet.

5.

Find the rate of change for the linear function represented in the table.

a)

Decrease $17/h.

b)

Increase $17/h.

c)

Decrease $8.5/h.

d)

Increase $8.5/h.

6.

What is the slope of the linear function graphed below?

a)

7/9.

b)

4/5.

c)

1/2.

d)

9/7.

7.

Find the next three terms in this arithmetic sequence:


13, 25, 37, 49, . . .

a)

61, 73, 85.

b)

56, 64, 72.

c)

90, 100, 110.

d)

None of these.

8.

Suppose y varies directly as x. If y = 15 when x = 2, find when y when x = 6.

a)

When x = 6, y = 890.

b)

When x = 6, y = 66.

c)

When x = 6, y = 45.

d)

When x = 6, y = 40.

9.

Find the root of 0 = 9.5x + 5. Round to the nearest thousandth.

a)

x = 0.526.

b)

x = -0.526.

c)

y = -0.526.

d)

x = 9.55.

10.

Starr's class is selling candy bars. Starr's class paid $105 for the candy bars, and they are selling each candy bar for $1. The function y = x - 105 represents their profit y for each candy bar for each candy bar sold x. Find the zero and choose the correct description of what it means in this situation.

a)

105; Once they have sold 105 candy bars, they will have earned back their initial investment.

b)

105; Starr's class started with $105.

c)

1; Starr's class is selling each candy bar for $1.