Free Printable ROC & Linear Forms Quiz Review

1.

Find the average rate of change over the given interval.

a)

4

b)

7

c)

7/3

d)

3/7

2.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

3.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

4.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

5.

What is Mrs. Gordon's rate from 0 to 2 seconds?

a)

2.5 feet per second

b)

.4 feet per second

c)

5 feet per second

d)

.2 feet per second

6.

Given the slopes of two lines, identify whether the lines are parallel, perpendicular or neither.

Slope of line #1 = 8/9

Slope of line #2 = 8/9

a)

Parallel

b)

Perpendicular

c)

Neither

7.

Given the slopes of two lines, identify whether the lines are parallel, perpendicular or neither.

Slope of line #1 = 4

Slope of line #2 = -1/4

a)

Parallel

b)

Perpendicular

c)

Neither

8.

Given the slopes of two lines, identify whether the lines are parallel, perpendicular or neither.

Slope of line #1 = 4/11

Slope of line #2 = -4/11

a)

Parallel

b)

Perpendicular

c)

Neither

9.

Given the slopes of two lines, identify whether the lines are parallel, perpendicular or neither.

Slope of line #1 = 8

Slope of line #2 = 1/8

a)

Parallel

b)

Perpendicular

c)

Neither

10.

Given the slopes of two lines, identify whether the lines are parallel, perpendicular or neither.

Slope of line #1 = 4/11

Slope of line #2 = -4/11

a)

Parallel

b)

Perpendicular

c)

Neither

11.

Determine if the given pair of lines is parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

12.

Determine if the given pair of lines is parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

13.

What is standard form?

a)

y-y₁=m(x-x₁)

b)

Ax+By=C

c)

y=mx+b

14.

What form is this equation in?

y+1=-4(x-7)

a)

Standard form

b)

Slope-intercept form

c)

Point-slope form

15.

What form is this equation in?

5x -2y=18

a)

Standard form

b)

Slope-intercept form

c)

Point-slope form

16.

What form is this equation in?

y=3x+4

a)

Standard form

b)

Slope-intercept form

c)

Point-slope form

17.

What is slope-intercept form?

a)

y-y₁=m(x-x₁)

b)

Ax+By=C

c)

y=mx+b

18.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

19.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

20.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

21.

Give the y-intercept

3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(5, 0)

d)

(0, -3)

22.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)

b)

c)

d)

23.

Write the equation in point-slope form of the line that passes through the given point and has the given slope. (3, 4); m = 6

a)

y - 4 = 6(x - 3)

b)

y - 4 = 4(x - 3)

c)

y- 4 = 3(x - 6)

d)

y - 6 = -4(x - 3)

24.

What is an equation for the line that passes that passes through the points (1,1) and (3,5)?

a)

y = x + 2

b)

y = 1x -2

c)

y = 2x + 1

d)

y = 2x - 1

25.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

26.

Which equation matches the graph?

a)

y= 1x + 3

b)

y= 1x

c)

y= -1x + 3

d)

y= -1x

27.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

28.

Write a equation: A plumber charges $50 for a house call plus $12 per hour for labor.

a)

y = 50x + 12

b)

y =12x + 50

c)

y = 62x

d)

x = 50 + 12y

29.

Put in slope intercept form

5-y=-\frac{1}{2}x+7

a)

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

b)

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

c)

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

30.

Solve this equation for y (no spaces)

5y=-7x

(a)

31.

Put in slope intercept form

-3+2y=3x-1

a)

$y=\frac{3}{2}x-2$

b)

$y=\frac{3}{2}x+1$

c)

$y=3x-2$

32.

Find the slope of the line passing through (19, -16) , (-7, -15) in reduced form.

(a)

33.

Given the table. Find the average rate of change from the interval x = 1 to x = 2.

(a)

34.

Whats is the average rate of change of the function $f\left(x\right)\ =\ 2x^2+\ 1\ at\ the\ interval\ x\ =\ 0\ and\ x\ =\ 1?$

(a)

35.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

36.

What is standard form?

a)

y-y₁=m(x-x₁)

b)

Ax+By=C

c)

y=mx+b

37.

What is slope-intercept form?

a)

y-y₁=m(x-x₁)

b)

Ax+By=C

c)

y=mx+b

38.

What is point-slope form?

a)

y-y₁=m(x-x₁)

b)

Ax+By=C

c)

y=mx+b

39.

Lily, Aron, and Noah are trying to solve the following equation: $9x-2y=6$ . Can you help them figure out which linear form this equation is in?

a)

Factored Form

b)

Point-Slope Form

c)

Slope-Intercept Form

d)

Standard Form

40.

Ady, Chloe, and Dei are trying to solve the following equation: $y+1=-\frac{2}{3}\left(x+2\right)$ . Can you help them figure out which linear form this equation is in?

a)

Factored Form

b)

Point-Slope Form

c)

Slope-Intercept Form

d)

Standard Form

41.

Kortnie, Iris, and Alex are having a friendly debate about linear equations. They come across the equation $y=mx+b$ . Can you help them figure out which form this equation is in?

a)

Factored Form

b)

Point-Slope Form

c)

Slope-Intercept Form

d)

Standard Form

42.

The equation $y-\frac{1}{3}=5\left(x-9\right)$ is in what form?

a)

Point-Slope Form

b)

Slope-Intercept Form

c)

Standard Form

43.

The equation $y=3x+2$ is in what form?

a)

Point-Slope Form

b)

Slope-Intercept Form

c)

Standard Form

44.

What form of linear equation is this?

a)

Slope-Intercept

b)

Point-Slope

c)

Standard

45.

A balloon is released at 5 feet and rises 3 feet per second. What is the rate of change?

a)

3

b)

3/5

c)

5

ROC & Linear Forms Quiz Review

Total questions: 45

Worksheet time: 3hrs 14mins

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