Free Printable Chapter 4 Review

1.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

2.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

3.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

4.

If you have a slope of 1/2 that means you could...

a)

Go up 1 and right 2 units.

b)

Go right 1 and up 2 units.

c)

Go down 1 and left 2 units.

d)

Go left 2 and down 1.

5.

What is the equation of the line represented by the table?

a)

y = -1/3x + 2

b)

y = 1/3x + 2

c)

y = 3x + 2

d)

y = -3x + 2

6.

What is the equation of the line represented by the table?

a)

y = 2x - 6

b)

y = -2x + 5

c)

y = 3x + 2

d)

y = 2x + 3

7.

What is the equation of the line represented by the table?

a)

y = -3/4x - 4

b)

y = -4/3x - 4

c)

y = 3/4x + 4

d)

y = 4/3x + 4

8.

What is the equation of the line that has a slope of 4 and goes through (3, 2)?

a)

y = 4x - 10

b)

y = 4x - 12

c)

y = 4x - 5

d)

y = 4x - 3

9.

What is the equation of the line that has a slope of -6 and goes through (-3, -9)?

a)

y = 6x + 9

b)

y = 6x - 27

c)

y = -6x - 27

d)

y = -6x - 9

10.

What is the equation of the line that has a slope of 2 and goes through (-1, 3)?

a)

y = 2x + 6

b)

y = 2x + 5

c)

y = 2x - 1

d)

y = 2x + 1

11.

Which statement is true about the graph?

a)

The slope is 0 and the equation is y = 2.

b)

The slope is 2 and the equation is y = 2.

c)

The slope is undefined and the equation is y = 2.

d)

The slope is undefined and the equation is x = 2.

e)

The slope is 0 and the equation is x = 2.

12.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

13.

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

a)

b)

c)

d)

14.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

15.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

16.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

17.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

18.

Find the slope of the line that passes through (-9, -6) and (-9, -10)

a)

0

b)

Undefined

c)

-3

d)

-9

19.

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

a)

-4

b)

4

c)

1/4

d)

-1/4

20.

What is the equation for the line with a slope of 7 and passes through (0,1)?

a)

y = -7x + 1

b)

y = 7x + 1

c)

y = -1/7x - 1

d)

y = -1/7x + 1

21.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

22.

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -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)

23.

Write the equation of the line

in Point-Slope form that goes through

the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

24.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

25.

Convert the equation of the line

y + 5 = -3(x - 6)

into slope intercept form.

a)

y = -3x - 23

b)

y = -3x - 13

c)

y = -3x - 11

d)

y = -3x + 13

26.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

27.

What is the y intercept of

the line with the equation

y - 6 = -2(x + 5)

a)

-4

b)

-5

c)

-10

d)

6

28.

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)

29.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y - 5 = -3(x - 10)

b)

y= -3x + 35

c)

y + 5= -3(x + 10)

d)

y= -3x - 35

30.

For the equation
y - 4 = -1/3(x - 7),
what are the coordinates for the point?

a)

(4, 7)

b)

(-7, - 4)

c)

(7, 4)

d)

(-4, -7)

31.

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)

32.

What is the slope of the following equation?

y-4=-\left(x+2\right)

a)

1

b)

-1

c)

2

d)

-4

33.

Write an equation in point-slope form that passes through the given point and has the given slope:

(4, -5); m=6

(a)

34.

What is the equation of the line y + 5 = -3(x - 6) in slope-intercept form?

a)

y = -3x - 23

b)

y = -3x -13

c)

y = -3x - 11

d)

y = -3x+13

35.

Slopes of parallel lines are...

a)

opposite reciprocals

b)

the same

c)

opposites

d)

always 7

36.

$y=\frac{-2}{7}x+4$ and $y=\frac{7}{2}x-3$ are parallel lines

a)

True

b)

False

37.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

38.

$-6x+y=2$ and $6x+y=2$

a)

Parallel

b)

Perpendicular

c)

Neither

39.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

40.

$-2x+y=-7$ What is the slope perpendicular to the line

a)

-2

b)

1/2

c)

-1/2

d)

2

41.

What is the slope of a line parallel to the line $-2x+y=-7$

a)

-2

b)

-1/2

c)

1/2

d)

2

42.

Which relationship could be represented by this scatter plot?

a)

As the number of muffins in a box increases, the price increases.

b)

As the speed of a car increases, the distance the car travels increases.

c)

As the population of a city increases, the number of schools in the

city increases.

d)

As the number of daylight hours increases, the number of night hours decreases.

43.

What type of correlation does this scatter plot show?

a)

positive

b)

negative

c)

no correlation

d)

nonlinear association

44.

Which equation best represents the data?

a)

A y = x + 2

b)

B y = -x + 2

c)

C y = x - 2

d)

D y = -x - 2

45.

If a scatterplot has no association then...

a)

...it has no ordered pairs

b)

...it has ordered pairs that have a negative pattern

c)

...its ordered pairs have no predictable pattern

d)

...if it makes a lion on a graph (roar!)

46.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

47.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

48.

What does it mean to find the inverse of a function?

a)

the x's and y's are switched

b)

the x's and y's are divided by 2

c)

the x's and y's are made negative

d)

the x's and y's are the same

49.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

50.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

51.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

52.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

53.

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

54.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

55.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

56.

Find the slope:
(-3, 3) and (7, 6)

a)

3/4

b)

-4/3

c)

3/10

d)

-10/3

57.

Find the slope of the line that passes through

(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

58.

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

59.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

60.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

Chapter 4 Review - 8th Grade

Total questions: 60

Worksheet time: 3hrs 30mins

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