Free Printable 8th Grade Unit 1 Test Study Guide

1.

True or False: Every equation on earth is linear

a)

True

b)

False

2.

How many circles are needed to complete the 4th term?

a)

10

b)

13

c)

12

d)

11

3.

You are given 5 gifts boxes. In the first there is 1 item, the second has 3 items, and the third has 5 items. Predict how many items would be in the fifth gift box.

a)

8

b)

10

c)

9

d)

11

4.

If you went backwards, how many squares would be in the first figure - Figure 0.

a)

1

b)

4

c)

-4

d)

5

5.

How many squares are being added each figure?

a)

1

b)

2

c)

3

d)

4

6.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

7.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

8.

What is a line of best fit used for?

a)

To make predictions

b)

To make the graph look pretty

c)

To connect the points

d)

To make it look like you know what you are doing

9.

Is this line an accurate line estimate of best fit for the data?

a)

Yes

b)

No

10.

What is the equation of the line of best fit

a)

y= -2x + 10

b)

y= 10x+ 2

c)

y=2x+10

d)

y= 10

11.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

12.

What is the y - intercept?

a)

0

b)

5

c)

- 4

d)

4

13.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

14.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

15.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

16.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

17.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

18.

Identify the slope of the following graph.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

19.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

20.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-value

21.

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

22.

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

a)

1/2

b)

-1/2

c)

2

d)

-2

23.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

24.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

25.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

26.

What is the slope formula?

a)

b)

c)

d)

27.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

28.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

29.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(4, -2)

c)

(4, 0)

d)

(0, 4)

30.

What is the x-intercept shown on the graph?

a)

(4, -2)

b)

(0, -2)

c)

(4, 0)

d)

(0, 4)

31.

Is this function linear or non linear?

a)

Linear

b)

Non Linear

32.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

33.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

the same

c)

opposite

d)

always 7

34.

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)

$y=-2x-3$

35.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

36.

What does reciprocal mean?

a)

Change the sign

b)

Flip the fraction

37.

What does opposite mean?

a)

Change the sign

b)

Flip the fraction

38.

What is the opposite reciprocal of 1/2

a)

-2

b)

-1/2

c)

2/1

d)

2

39.

How many people purchased no food and no drink?

a)

60

b)

10

c)

20

d)

200

40.

How many total people were surveyed about what ice cream flavor they would pick?

a)

107

b)

92

c)

70

d)

269

41.

How many sophomores like burritos and pizza?

a)

6

b)

5

c)

11

d)

50

42.

A residual is the difference between what really happened and what was expected to happen.

a)

True

b)

False

43.

I predicted someone would lose 14 lbs, but they actually lost 12 lbs. Calculate the residual.

a)

14 - 12 = 2

b)

12 - 14 = -2

c)

14 - 2 = 12

d)

2 - 14 = -12

44.

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is

m=-1.79+61.93h

. Predict how far a person will travel driving 10 hours.

a)

617.51 miles

b)

621.09 miles

c)

100 miles

d)

0.19 miles

45.

What is the y-intercept in the following equation?

y=3+5x

a)

5

b)

-5

c)

3

d)

-3

46.

Find the value of y when x = 12 in the given equation.

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

a)

10

b)

8

c)

4

d)

5

47.

As study time _______________, errors _______________.

a)

increases ; decrease

b)

increases ; increase

c)

decreases; decrease

d)

increases ; stays the same

48.

Is this a direct variation?
y=2x

a)

yes

b)

no

49.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

50.

What does the Direct Variation Equation look like?

a)

y= kx

b)

y = mx + b

c)

y = b

d)

y = x

51.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

8th Grade Unit 1 Test Study Guide

Total questions: 51

Worksheet time: 13hrs 45mins

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