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8th grade Math Mixed Review

Total questions: 66

Worksheet time: 2hrs 27mins

Name
Class
Date
1.

Change from standard form to scientific notation: 12,000,000

a)

0.12 x 108

b)

1.2 x 10-7

c)

12.0 x 106

d)

1.2 x 107

2.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
3.
Is 8.27 rational or irrational?
a)
Rational
b)
Irrational
c)
Both
d)
None of the above
4.
A non-terminating decimal is which type of number?
a)
Rational 
b)
Irrational
5.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10-5

b)

3.98 x 104

c)

3.98 x 10-4

d)

39.8 x 10-6

6.

Try to change the number back to standard form: 6.79 x 104

a)

0.000679

b)

6,790

c)

67,900

d)

6,790,000

7.

Is the relation a function?

a)

The relation does not represent y as a function of x, because each value of x is associated with a single value of y.

b)

The relation represents y as a function of x, because one value of y is associated with two values of x.

c)

The relation does not represent y as a function of x, because one value of x is associated with two values of y.

d)

The relation represents y as a function of x, because each value of x is associated with a single value of y.

8.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
9.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
10.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
11.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
12.

PYTHAGOREAN THEOREM

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

13.
Mr. Thomas wanted to know if the amount of class time that he gave students to study affected their test scores.  What kind of relationship between class study time and test scores is shown on the scatter plot.
a)
No correlation
b)
Positive correlation
c)
Negative correlation
d)
Positive then negative correlation
14.
A fifth grade class conducted a 5-minute experiment that involved heating time and water temperature.  The results of the experiment are represented in this line graph.  What prediction can be made based on the information gathered?
a)
The water temperature remains the same as the heating time continues.
b)
The water temperature decreases as the heating time continues.
c)
A pattern cannot be determined between these measurements.
d)
The water temperature increases as the heating time continues.
15.
What is the type of relationship?
a)
Negative 
b)
No Relationship
c)
Positive
d)
Constant 
16.
What type of relationship does this graph have?
a)
Positive 
b)
Negative
c)
No Relationship
d)
Constant
17.
What type of relationship does this graph have?
a)
Positive
b)
Negative
c)
No Relationship
d)
Constant
18.
Which scatter plot show a positive relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
19.
Which best describes this equation?
y= 3.75x + 2
a)
Proportional 
b)
Non-proportional
20.
Which best describes the equation?
y = 75x
a)
Proportional
b)
Nonproportional
21.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
22.
Does this graph represent a proportional relationship?
a)
Yes, because the line is pretty.
b)
No, because the line goes through the origin.
c)
Yes because the line goes through the origin.
d)
No, because the graph is non-proportional.
23.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
24.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
25.
Which best describes the table?
a)
proportional
b)
non-proportional
26.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
27.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day. 
a)
Proportional
b)
Non-Proportional
28.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
29.
In order for a graph to be proportional it has to___?
a)
pass over the y-axis
b)
pass over the x-axis
c)
pass through the origin
30.
Which of these shows the numbers in order from greatest to least?
a)
-2.65, -1.43, 0.16, 0.10, 0.07
b)
0.16, 0.10, 0.07, -1.43, -2.65
c)
0.16, 0.10, 0.07, -2.65, -1.43
d)
-2.65, -1.43, 0.07, 0.10, 0.16
31.
In order for a relationship to be a function, _____________.
a)
the y-value cannot repeat
b)
the x-value cannot repeat
32.
Which set of ordered pairs represents y as a function of x?
a)
(-9,2), (0,6), (1,-2), (-3,6)
b)
(-1,0), (4,3), (-7,-3), (-1,-8)
c)
(3,2), (-4,-2), (3,1), (-4,1)
d)
(5,4), (2,3), (1,1), (2,4)
33.

Which number would fit the inequality:

1/8 < x < √2

a)

x = 0.11

b)

x = 1.5

c)

x = 2

d)

x = 1.1

34.
a)
A
b)
B
c)
C
d)
D
35.
a)
5
b)
-5
c)
-2
d)
2
36.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
37.

Sides a and b are called legs.

a)

true

b)

false

38.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
39.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
40.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
41.

Which equation is proportional?

a)

y=5x+0.1

b)

y=4x-3

c)

y=7x

d)

y=2x+7

42.
What is the side of a right triangle when C=15 and B=7?
a)
13.27
b)
7
c)
3.2
d)
1.62
43.
Which rule would result in a translation of 2 units left and 3 units up?
a)
(x, y) → (2x, 3y)
b)
(x, y) → (x - 2, y + 3)
c)
(x, y) → (-x, -y)
d)
(x, y) → (x + 2, y - 3)
44.
When you translate, (x+2,y) will move _____.
a)
2 units right
b)
2 units left
c)
2 units up
d)
2 units down
45.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
46.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
47.

Diagonal

a)

Pythagorean Theorem

b)

Square Root

c)

spreadsheet

48.
If the scale factor is more than one, what happens to the figure?
a)
gets bigger
b)
gets smaller
c)
stays the same
d)
flips over
49.
The base of a rectangular prism is in the shape of a .....
a)
rectangle
b)
triangle
c)
sphere
d)
cone
50.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
51.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise?
a)
(x,y)→(y, -x) 
b)
(x,y)→(-x,-y)
c)
(x,y)→(-y,x)
d)
(x,y)→(x,y)
52.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
53.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
54.
a)
Function
b)
Not a Function
55.
.
a)
Function
b)
Not a Function
56.
When you dilate, you ______ x and y by a number.
a)
Multiply
b)
Add
c)
Subtract
d)
Divide
57.
If your scale factor is greater than 1, your new shape will be ______.
a)
Bigger
b)
Smaller
c)
The same size
d)
Rotated
58.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
59.

What is an example of an irrational number?

a)

−23\frac{-2}{3}

b)

.755758751..

c)

.25252

d)

0

60.
The square root of 5 is between what two integers?
a)
4 and 5
b)
2 and 3
c)
3 and 4
d)
9 and 10
61.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
62.

What are the rate of change and initial value?

a)

Rate of Change = 3 Initial Value = 8

b)

Rate of Change = 1/3 Initial Value = 8

c)

Rate of Change = 8 Initial Value = 3

d)

Rate of Change = 8 Initial Value = 1/3

63.

Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?

a)

$800

b)

$1,000

c)

$1,200

d)

$1,500

64.

Julie borrowed $3,500 for 3 years at 7½% simple interest rate.

How much interest is that?

a)

$3,500

b)

$787.50

c)

$810

d)

$812.50

65.

The simple interest formula is I=Prt. The P represents the principal. The principal is ___________________.

a)

the amount of money

b)

the percent interest for his year

c)

the rate

d)

the percent proportion

66.

What is the slope of the table?

a)

$16.50

b)

$31.50

c)

$63.00

d)

$30.00

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