Free Printable Unit 3 Linear Functions

1.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

2.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

3.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

4.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

5.

Write the slope-intercept form of the equation of the line that passes through (3,-2) and (9,0).

a)

y=1/3x -3

b)

y=1/3x +2

c)

y=1/3x +0

d)

y=1/3x -2

6.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

7.

What direction is an undefined slope?

a)

horizontal

b)

vertical

8.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

9.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

10.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

11.

What is the y-intercept?

a)

(0,7)

b)

(0,0)

c)

(1,9)

d)

(2,11)

12.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

13.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

14.

What is the slope?

a)

5

b)

1/5

c)

15

d)

10

15.

Find the slope

a)

3

b)

-3

c)

20

d)

Not a constant slope/Non-Linear

16.

What is the slope of the line passing through the points (-4,5) and (8, 2)?

a)

$-\frac{1}{4}$

b)

$4$

c)

$-4$

d)

$\frac{1}{4}$

17.

Which inequality best describes the graph?

a)

$y\ge\frac{1}{2}x+6$

b)

$y>\frac{1}{2}x+6$

c)

$y\le\frac{1}{2}x+6$

d)

$y<\frac{1}{2}x+6$

18.

Which inequality best describes the graph?

a)

$y>-6x$

b)

$y\ge-6x$

c)

$y<-6x$

d)

$y\le-6x$

19.

A student graphed f(x) = x and g(x) = f(x + 4). Which statement is true?

a)

The graph of f is steeper than the graph of g.

b)

The graph of f is less steep than the graph of g.

c)

The graph of f is shifted 4 units up to create the graph of g.

d)

The graph of f is shifted 4 units to the left to create the graph of g.

20.

A student graphed f(x) = x and g(x) = f(x) - 12. Which statement is true?

a)

The graph of f is shifted 12 units to the right to create the graph of g.

b)

The graph of f is shifted 12 units down to create the graph of g.

c)

The graph of f is shifted 12 units up to create the graph of g.

d)

The graph of f is shifted 12 units to the left to create the graph of g.

21.

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

a)

The graph of g is steeper than the graph of f.

b)

The graph of g is less steep than the graph of f.

c)

The graph of f is shifted 2 units up to create the graph of g.

d)

The graph of f is shifted 2 units to the right to create the graph of g.

22.

A student graphed f(x) = x and g(x) = f(x - 15). Which statement is true?

a)

The graph of f is shifted 15 units to the right to create the graph of g.

b)

The graph of f is shifted 15 units down to create the graph of g.

c)

The graph of f is shifted 15 units up to create the graph of g.

d)

The graph of f is shifted 15 units to the left to create the graph of g.

23.

The function f(x) = x is graphed. A new line is formed by changing the slope to ⅔ and the y-intercept to 15. Which is true?

a)

The graph of the new line is steeper and the y-intercept has been translated down.

b)

The graph of the new line is less steep and the y-intercept has been translated down.

c)

The graph of the new line is steeper and the y-intercept has been translated up.

d)

The graph of the new line is less steep and the y-intercept has been translated up.

24.

A line with a slope of 4 passes through the point (1, 9). Which of the following is the equation of the line?

a)

y = 5x + 4

b)

y = 4x + 5

c)

y = 9x + 1

d)

y = x + 4

25.

A rental car company charges a one-time fee of $15 plus $0.35 per mile driven. Which of the following equations models the charge, c, for renting a car based on the number of miles, m, driven?

a)

c = 15m + 35

b)

c = 0.35m + 15

c)

c = 0.15m + .35

d)

c = 50m

26.

Which of the points below is not in the solution set of the inequality y > 2x - 4?

a)

(0, 0)

b)

(-1, -1)

c)

(5, 1)

d)

(-3, 2)

27.

Which of the following equations given below represents a horizontal line that passes through the point (3, -2)?

a)

x = 3

b)

x = - 2

c)

y = 3

d)

y = - 2

28.

What is f(4) if f(x) = 2x - 2?

a)

6

b)

19

c)

12

d)

22

29.

What is the equation of a line that passes through the point (1,9) and has a slope of -3?

a)

y = -3x + 28

b)

y = x + 9

c)

y = -3x +12

d)

y = x + 12

30.

What is the equation of a the line that passes through the points (-5,8) and (1,3)?

a)

y - 1 = -5/6(x - 3)

b)

y - 3 = -5/6(x - 1)

c)

y + 8 = 5/4(x + 5)

d)

y - 8 = 5/4(x - 5)

31.

What would the line and shading of y < 1/2x + 9 look?

a)

dashed line, shaded below

b)

dashed line, shaded above

c)

solid line, shaded below

d)

solid line, shaded above

32.

Write equation of the line containing (-3,4) and (-1,-2)

a)

y = -3x - 5

b)

y = -3x + 1

c)

y = -3x + 13

d)

y = 3x + 1

33.

What is the slope of 6x + 2y = 30?

a)

6

b)

2

c)

-3

d)

15

34.

Find the slope.

a)

0

b)

4

c)

-4

d)

Undefined

35.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y - 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y + 7 = -1/4(x - 4)

36.

For the equation
y - 3 = 2(x + 4),
which of the following is true?

a)

The line has m = 2 passing through the point (4, -3)

b)

The line has m = 2 passing through the point (3, -4)

c)

The line has m = 2 passing through the point (-4, 3)

d)

The line has m = 2 passing through the point (-3, 4)

37.

Write the equation of the line in POINT-SLOPE FORM given 2 points.

a)

a

b)

b

c)

c

d)

d

38.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

39.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

40.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

41.

Which ordered pair IS NOT in the solution set for the inequality graphed?

a)

(7, 0)

b)

(-7, 0)

c)

(0, 7)

d)

(0 -7)

42.

Ruby is saving money to buy a new Coyote Peterson t-shirt. She already has $8 and she earns $2 every day for doing her chores. Which linear equation can be used to find her total savings, S(d), based on the number of days she does her chores, d?

a)

S(d) = 8d + 2

b)

S(d) = 2d + 8

c)

S(d) = 1/2d + 8

d)

S(d) = 8(2d)

43.

Write a linear equation based on the verbal description:

y is less than 5 times x, increased by 3.

a)

y < 5x + 3

b)

y = 5x - 3

c)

y < 5x > 3

d)

y = 5x(3)

44.

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = 1/2(x – 1). What is the slope-intercept form of the equation for this line?

a)

$y\ =\ \frac{1}{2}x\ +\ 2$

b)

$y\ =\ \frac{1}{2}x\ +\ \frac{5}{2}$

c)

$y\ =\ \frac{1}{2}x\ -\ \frac{7}{2}$

45.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

46.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

47.

Which of the following inequalities matches the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

48.

Which of the following inequalities matches the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

49.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

50.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

51.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

52.

Parallel lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

53.

Perpendicular lines have _________________ slope.

a)

The Same

b)

Opposite Reciprocal

54.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

a)

4

b)

-4

c)

$-\frac{1}{4}$

d)

$\frac{1}{4}$

55.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

a)

2

b)

-2

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

56.

If the pair of lines are perpendicular and the slope of the purple line is $\frac{3}{2}$ , what is the slope of the blue line?

a)

$\frac{3}{2}$

b)

$\frac{2}{3}$

c)

$-\frac{2}{3}$

d)

$-\frac{3}{2}$

57.

Choose the linear equation that is parallel to the following line

$y=-\frac{1}{4}x-1$

a)

$y=-\frac{1}{4}x+5$

b)

$y=\frac{1}{4}x-1$

c)

$y=-4x-1$

d)

$y=4x-1$

58.

Choose the linear equation that is parallel to the following line

$y=\frac{4}{3}x+1$

a)

$y=\frac{3}{4}x+1$

b)

$y=-\frac{3}{4}x+1$

c)

$y=-\frac{4}{3}x+1$

d)

$y=\frac{4}{3}x+5$

59.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

60.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

61.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

62.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

63.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

a)

y = -1/3x - 5

b)

y = 3x-29

c)

y = 1/3x -5

d)

y = -1/3x +1

64.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

a)

y = 4x + 12

b)

y = -4x -4

c)

y = -1/4x + 5/2

Unit 3 Linear Functions

Total questions: 64

Worksheet time: 13hrs 26mins

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