Free Printable 4A Linear Review: Slope, Slope-Intercept, Horizontal, and Vertical

1.

What is the Slope Intercept Formula

a)

ax + by = c

b)

y = mx + b

c)

2.

What is the Slope Formula?

a)

ax + by = c

b)

y = mx + b

c)

3.

Which of the following are ways to find the rate of change?

a)

change in y over change in x

b)

rise over run

c)

subtract y coordinates over subtract x coordinates

d)

all of the above

4.

What does the slope tell you about the line?

a)

Steepness

b)

Direction

c)

Rate of change

d)

All of the above

5.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

6.

Find the slope of the line that passes through:
(2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

7.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

8.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

9.

What is the slope of the line that passes through the points (5, 3) and (5, -9)

a)

0

b)

undefined

c)

-6/5

d)

6/5

10.

Find the slope from the table:

a)

-2/5

b)

-5/2

c)

5/2

d)

2/5

11.

What is the Slope represented in this table?

a)

slope: $-\frac{1}{4}$

b)

slope: $-4$

c)

slope: $\frac{1}{4}$

d)

slope: $4$

12.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

13.

Find the slope

a)

5/2

b)

-5/2

c)

2/5

d)

-2/5

14.

Find the slope.

a)

1

b)

-1

c)

2

d)

-2

15.

Which rate of change represents the following graph?

a)

1/3 cup per second

b)

3 cups per second

c)

1/3 second per cup

d)

3 seconds per cup

16.

Which are the correct steps to graphing an equation?

a)

1) Plot your "b" on the y-axis.

2) From the point, you will use the "m" by doing run/rise. Place a dot here.

3) Draw your line.

b)

1) Plot your "b" on the y-axis.

2) From the point, you will use the "m" by doing rise/run. Place a dot here.

3) Draw your line.

c)

1) Plot your "b" on the y-axis.

2) From the origin, you will use the "m" by doing rise/run. Place a dot here.

3) Draw your line.

d)

1) Plot your "b" on the x-axis.

2) From the point, you will use the "m" by doing rise/run. Place a dot here.

3) Draw your line.

e)

1) Plot your "b" on the x-axis.

2) From the point, you will use the "m" by doing run/rise. Place a dot here.

3) Draw your line.

17.

What would be the correct way to graph:

$y=-\frac{3}{5}x+1$ ?

a)

b = -1

m = $\frac{3}{5}$

1) Go to -1 on the y-axis and place a dot.

2) From this point go up 3 and right 5. Place a dot.

3) Draw your line.

b)

b = 1

m = $-\frac{3}{5}$

1) Go to 1 on the x-axis and place a dot.

2) From this point go down 3 and right 5. Place a dot.

3) Draw your line.

c)

b = 1

m = $-\frac{3}{5}$

1) Go to 1 on the y-axis and place a dot.

2) From this point go down 3 and left 5. Place a dot.

3) Draw your line.

d)

b = 1

m = $-\frac{3}{5}$

1) Go to 1 on the y-axis and place a dot.

2) From this point go down 3 and right 5. Place a dot.

3) Draw your line.

18.

What would be the correct way to graph:

y = -3x - 2?

a)

b = -2

m = $\frac{-3}{1}$

1) Go to -2 on the y-axis and place a dot.

2) From this dot, go down 3 and right 1. Place a dot.

3) Draw your line.

b)

b = -2

m = $\frac{-3}{1}$

1) Go to -2 on the y-axis and place a dot.

2) From this dot, go down 3 and left 1. Place a dot.

3) Draw your line.

c)

b = -2

m = $\frac{-3}{1}$

1) Go to -2 on the x-axis and place a dot.

2) From this dot, go down 3 and right 1. Place a dot.

3) Draw your line.

d)

b = -2

m = $\frac{-3}{1}$

1) Go to -2 on the y-axis and place a dot.

2) From the origin go down 3 and right 1. Place a dot.

3) Draw your line.

e)

b = -2

m = -3

1) Go to -2 on the y-axis and place a dot.

2) From this dot, go down 3. Place a dot.

3) Draw your line.

19.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

20.

Which graph is correct for the given equation?

a)

b)

c)

d)

21.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

22.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

23.

Which graph represents the equation $x+5y=5$

a)

b)

c)

d)

24.

Which describes the correct line and shade for each inequality?

a)

b)

c)

d)

e)

You cannot tell without the numbers.

25.

What is the graph of the linear inequality:

y>x+5

a)

b)

c)

d)

26.

What is the graph of the linear inequality:

y\ge-3x+2

a)

b)

c)

d)

27.

Which graph best represents the following inequality?

a)

b)

c)

d)

28.

Graph 5x - 2y < 10

a)

b)

c)

d)

29.

$-x\ -\ y\ge1$

a)

b)

c)

d)

30.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

31.

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

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

32.

Write the equation of the graph in slope-intercept form

a)

$y=-2x-4$

b)

$y=2x\ -\ 4$

c)

$y=\frac{1}{2}x-4$

d)

$y=-\frac{1}{2}x-4$

33.

What is the graph's equation?

a)

y = 4/3x - 1

b)

y = -4/3x - 1

c)

y = 3/4x + 1

d)

y = - 3/4x - 1

34.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

35.

Janet wrote that the equation of this line was

$y=\frac{-2}{3}x+4$ . Is she correct? Why or why not?

a)

Yes she is correct.

b)

No, the y-intercept should be 5. The equation should be: $y=\frac{-2}{3}x+5.$

c)

No, the slope is 3/2. The equation should be:

$y=\frac{3}{2}x+4.$

d)

No, the slope is -3/2. The equation should be:

$y=\frac{-3}{2}x+4.$

e)

No, the slope is 2/3. The equation should be:

$y=\frac{2}{3}x+4.$

36.

What is the inequality pictured?

a)

y ≥ -4/3x + 3

b)

y > -4/3x + 3

c)

y > 4/3x + 3

d)

y ≤ 4x + 3

37.

Which of the following equations match 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

38.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

39.

This is a graph of which inequality?

a)

y > 4x - 2

b)

y > -2x + 4

c)

y < -2x

d)

y < 4X - 2

40.

According to the graph, which point is a solution? Choose all that apply.

a)

$y>-\frac{2}{3}x-1$

b)

$y<-\frac{2}{3}x-1$

c)

$y>-\frac{3}{2}x-1$

d)

$y\ge-\frac{2}{3}x-1$

41.

What is the inequality to the graph? In which quadrants does the solution lie?

a)

y ≤ 2x - 4

Quadrants 1, 3, and 4.

b)

y ≥ 2x - 4

Quadrants 1, 3, and 4.

c)

y < 2x - 4

Quadrants 1, 3, and 4.

d)

y ≤ 2x - 4

Quadrants 1, 2, and 3.

e)

y ≥ 2x - 4

Quadrants 1, 2, and 3.

42.

What direction is a 0 slope?

a)

horizontal

b)

vertical

43.

What direction is an undefined slope?

a)

horizontal

b)

vertical

44.

Find the graph for the equation below,

y\ =\ \ 5

a)

b)

c)

d)

45.

Find the graph for the equation,

x\ =\ -5

a)

b)

c)

d)

46.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

47.

What is the equation of the graph shown here?

a)

x = 8

b)

y = 8

c)

x = -8

d)

y = -8

48.

a)

$x>-3$

b)

$x\ge-3$

c)

$x\le-3$

d)

$x\le-3$

49.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

50.

What would the graph of y = 8x look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

4A Linear Review: Slope, Slope-Intercept, Horizontal, and Vertical

Total questions: 50

Worksheet time: 3hrs 47mins

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