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Unit 6 Test Review (Linear Functions)

Total questions: 84

Worksheet time: 3hrs 21mins

Name
Class
Date
1.

Match the equation with its name.

a)

y=mx+by=mx+b

1.

slope-intercept form

b)

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

2.

point-slope form

c)

Ax+By=CAx+By=C

3.

standard form

2.

Match the equation with its name.

a)

y=−3x−8y=-3x-8

1.

slope-intercept form

b)

y−5=12(x+2)y-5=\frac{1}{2}\left(x+2\right)

2.

point-slope form

c)

3x−9y=183x-9y=18

3.

standard form

3.

What two things does this equation have to help you graph a line?

y=mx+by=mx+b

a)

slope

b)

point

c)

y-intercept

d)

x-intercept

4.

What two things does this equation have to help you graph a line?

y−y1=m(x−x1)y-y_1=m\left(x-x_1\right)

a)

slope

b)

point

c)

y-intercept

d)

x-intercept

5.

What two things does this equation have to help you graph a line?

Ax+By=CAx+By=C

a)

slope

b)

point

c)

y-intercept

d)

x-intercept

6.

Graph

y=34xy=\frac{3}{4}x

7.

Graph

y=−3xy=-3x

8.

Graph

y=−35x+2y=-\frac{3}{5}x+2

9.

Graph

y=x−7y=x-7

10.

Graph

y=14x−3y=\frac{1}{4}x-3

11.

Graph

y−4=2(x−1)y-4=2\left(x-1\right)

12.

Graph

y+2=−32(x−5)y+2=-\frac{3}{2}\left(x-5\right)

13.

Graph

y+5=−12(x+3)y+5=-\frac{1}{2}\left(x+3\right)

14.

Graph

y−4=6(x+1)y-4=6\left(x+1\right)

15.

Graph

y−2=−4xy-2=-4x

16.

Graph

3x−y=63x-y=6

17.

Graph

4x+3y=−124x+3y=-12

18.

Graph

2x−5y=−202x-5y=-20

19.

Graph

y−3x=4y-3x=4

20.

Graph

y=7y=7

21.

Graph

y=−2y=-2

22.

Graph

y=0y=0

23.

Graph

x=−5x=-5

24.

Graph

x=3x=3

25.

Graph

x=0x=0

26.

Write an equation of the line represented by this table.

27.

Write an equation in SLOPE-INTERCEPT from of the line represented by this table.

28.

Write an equation in STANDARD FORM from of the line represented by this table.

29.

Write an equation of the line represented by this table.

30.

Write an equation in SLOPE-INTERCEPT form of the line represented by this table.

31.

Write an equation in STANDARD form of the line represented by this table.

32.

Write the equation of the line represented by this table.

33.

Write an equation in SLOPE-INTERCEPT form of the line represented by this table.

34.

Write an equation in STANDARD FORM of the line represented by this table.

35.
Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)
36.

Write the equation in SLOPE-INTERCEPT FORM of the line that passes through the points:

(-2, 4) and (1, 10)

37.

Write the equation in STANDARD FORM of the line that passes through the points:

(-2, 4) and (1, 10)

38.

Find the equation of the line that passes through the points:

(−3,−3) and (6,3)\left(-3,-3\right)\ and\ \left(6,3\right)

39.

Write the equation in SLOPE-INTERCEPT form of the line that passes through the points:

(−3,−3) and (6,3)\left(-3,-3\right)\ and\ \left(6,3\right)

40.

Write the equation in STANDARD form of the line that passes through the points:

(−3,−3) and (6,3)\left(-3,-3\right)\ and\ \left(6,3\right)

41.

What is an equation for the line that passes through (7,−5) and (−7,7)(7,-5)\ and\ (-7,7) .

42.

Write an equation in SLOPE-INTERCEPT form for the line that passes through (7,−5) and (−7,7)(7,-5)\ and\ (-7,7) .

43.

Write an equation in STANDARD form for the line that passes through (7,−5) and (−7,7)(7,-5)\ and\ (-7,7) .

44.

If a line passes through (0,4) and (2,8) what is the equation for the line?

45.
Write equation of the line containing (-3,4) and (-1,-2)
46.

Write the equation for this table.

47.

Write the equation for this table in SLOPE-INTERCEPT form.

48.

Write the equation for this table.

49.

Write equation of the line containing (0,-3) and (4,1).

50.

Write the equation for this line.

51.

Write the equation for this line.

52.

Write the equation for this line.

53.

Write the equation for this line.

54.

Write the equation for this line.

55.

Write the equation for this line.

56.
What is the equation of the line?
57.
What is the equation of this line?
58.

The equation of the line is ____

59.

What is the equation of this line?

60.

Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.

61.

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Write the equation that models this situation?

62.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

63.

A man is climbing down from 100 feet high descending 30 feet per minute.

64.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
65.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
66.

Is y=5x+1y=\frac{5}{x}+1 linear or nonlinear?

a)

Linear

b)

Nonlinear

67.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

68.

For each function graphed, determine whether it is linear or nonlinear.

Categorize the following

Linear
Nonlinear
69.

For each function, state whether it is linear or nonlinear.

Categorize the following

Linear
Nonlinear
70.

Determine whether each equation is linear or nonlinear.

Categorize the following

y=−6y=-6  

y=6x−7y=6^x-7  

y=−4x+1y=-4x+1  

y=2x2+5y=2x^2+5  

Linear
Nonlinear
71.

m=15m=\frac{1}{5}

Categorize the following

m=15m=\frac{1}{5}  

m=−5m=-5  

m=−15m=-\frac{1}{5}  

m = 5m\ =\ 5  

Parallel Slope
Perpendicular Slope
Neither
72.

m=−59m=-\frac{5}{9}

Categorize the following

m=−59m=-\frac{5}{9}  

m=95m=\frac{9}{5}  

m=−95m=-\frac{9}{5}  

m = 59m\ =\ \frac{5}{9}  

Parallel Slope
Perpendicular Slope
Neither
73.

Write an equation parallel to y=3x−2y=3x-2 that goes through (1,8)(1,8) .

74.

Write the equation of a line perpendicular to the one shown and passes through (0, 1).

a)

y=54x+1y=\frac{5}{4}x+1

b)

y=−45x−1y=-\frac{4}{5}x-1

c)

y=54x−1y=\frac{5}{4}x-1

d)

y=45x+1y=\frac{4}{5}x+1

75.

Write the STANDARD FORM equation of a line PERPENDICULAR to the one shown and passes through (0, 1).

76.

Write the equation of the line passing through (5,3)(5,3) PERPENDICULAR to the line y=−15x+3.7y=-\frac{1}{5}x+3.7 ?

77.

Graph a line through the given point that is Parallel to the given line

78.

Graph a line through the given point that is Perpendicular to the given line

79.

Graph a line through the given point that is Perpendicular to the given line

80.

Graph a line through the given point that is PARALLEL to the given line

81.

Graph a line parallel to y=−12x+5y=-\frac{1}{2}x+5

that goes through point (−2,3)(-2,3) .

82.

Graph a line perpendicular to y=−12x+5y=-\frac{1}{2}x+5

that goes through point (−2,3)(-2,3) .

83.

Graph a line parallel to y=3x−2y=3x-2

that goes through point (1,4)(1,4) .

84.

Graph a line perpendicular to y=3x−2y=3x-2

that goes through point (1,4)(1,4) .

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