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STR 8th Grade Review

Total questions: 100

Worksheet time: 3hrs 54mins

Name
Class
Date
1.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
2.
Write in standard form: 
8 x 104
a)
8,000
b)
80,000
c)
.00008
3.
Write in standard form: 
7.3003 x 10-5
a)
.000073003
b)
.0000073003
c)
730,030
4.
Add. 
(4.5 x 108) + (2.67 x 108)
a)
7.17 x 101
b)
7.17 x 108
c)
1.83 x 108
5.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
6.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
7.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
8.

Simplify the expression.

a)

8ac

b)

-24abc

c)

-8ac

d)

-8abc

e)

8a9b6c3

9.

Simplify:

(-4)3 * (-4)5

a)

-48

b)

(-4)8

c)

168

d)

(-4)2

10.

Simplify the following expression:

a)

18x25

b)

9x10

c)

1

d)

18x10

11.

Simplify (5g8b2) ⋅ (g4)2

a)

5g14b2

b)

g16b2

c)

5g64b16

d)

5g16b2

e)

5g16b10

12.

Write the expression using exponents.

2 ⋅ x ⋅ y ⋅ z ⋅ x ⋅ 2 ⋅ y ⋅ x ⋅ 2 ⋅ 2 ⋅ y ⋅ x

a)

24 x4 y3 z

b)

23 x4 y3 z

c)

24 x3 y3 z

d)

24 x4 y3

e)

23 x3 y4 z

13.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
14.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
15.
Find the volume of a cylinder with diameter of 10ft and height of 18.5ft
a)
1452.98ft3
b)
5811.94ft3
c)
185ft3
d)
581.19ft3
16.
What is this formula used to find?
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
17.
Which has a greater volume?
Cylinder A: r = 3 m, h = 1.2 m
Cylinder B: d = 4 m, h = 2.5 m
a)
Cylinder A
b)
Cylinder B
c)
They both have the same volume
d)
Not enough information
18.
A can of soup contains about 423.115 cubic centimeters of soup. The height of the can is 11 cm. What is the approximate radius of the can to the nearest centimeter?
a)
3.5 cm
b)
12.25 cm
c)
6.125 cm
d)
24.5 cm
19.

A figure has a diameter of 10in and a height of 15in. What would the volume be if the figure was a: 1) cone and 2) cylinder? (Choose two correct answers)

a)

cone: 375π in3

b)

cone: 125π in3

c)

cone: 500π in3

d)

cylinder: 375π in3

e)

cylinder: 1500π in3

20.

Level 2

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

21.

Level 4

Which figure has a volume of 45π ft3?

a)

Cylinder with a height of 5ft and diameter of 6 ft

b)

Sphere with a radius of 3 ft

c)

Cone with a radius of 3 feet and height of 5 ft

d)

Sphere with a diameter of 5 feet

22.

Level 4

A can of juice is 10 cm across and 13 cm tall. If you need 7,100 cm3 of juice, how many cans will you need to buy?

a)

5 cans

b)

6 cans

c)

7 cans

d)

8 cans

23.
In slope intercept form (y=mx+b) what is the "m"?
a)
The y-intercept
b)
The x-intercept
c)
The slope (rate of change)
d)
A point
24.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
25.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
26.
What is the y-intercept in the equation?
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
27.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
28.
What is the slope of the line passing through the points (3,5) and (-1,7)?
a)
-1/2
b)
-1
c)
-2
d)
1/2
29.
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
30.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
31.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
32.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
33.
What is the equation of the line passing through points (1,1) and (3,-5).
a)
y = -3x + 4
b)
y = 3x - 4 
c)
y = -3x - 4 
d)
y = 3x + 4
34.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
35.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
36.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
37.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
38.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
39.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
40.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
41.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
42.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
43.
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)
44.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
45.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
46.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
47.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
48.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
49.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
50.
Is the function linear or nonlinear?
y = x2 + 7
a)
Linear
b)
Nonlinear
51.
Is the function linear or nonlinear?
y = ⅓ x
a)
Linear
b)
Nonlinear
52.
Is the function linear or nonlinear?
y =  2
a)
Linear
b)
Nonlinear
53.
Is the function linear or nonlinear?
y = 3x2 - 4x + 2
a)
Linear
b)
Nonlinear
54.
Is the following equation linear or nonlinear? 
a)
Linear 
b)
Nonlinear 
55.
Is the following equation linear or nonlinear? 
a)
Linear 
b)
Nonlinear 
56.
Is the following equation linear or nonlinear? 
a)
Linear 
b)
Nonlinear 
57.
Is this graph proportional?
a)
Yes
b)
No
c)
Sometimes
d)
Both
58.
Write the equation for the table given. 
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
59.

Does this graph represent a proportional relationship?

a)

Yes and the constant rate is -1

b)

Yes and the constant rate is 10

c)

No, it is not proportional.

60.

What makes a graph proportional?

a)

Straight line

b)

A curve that goes through the origin

c)

A curve

d)

Straight line that goes through the origin

61.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
62.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
63.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
64.
Does the image show a Dilation?
a)
Yes
b)
No
65.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
66.
(x,y) -------> (-x, -y) is a reflection over the y = x axis.
a)
True 
b)
False
67.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
68.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
69.
The point Z(4, -2) is rotated 180 degrees about the origin.  What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
70.
All angles in similar figures are congruent.  
a)
True
b)
False
71.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
72.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
73.
Name the image of C(6, -4) under a rotation 90 degrees counterclockwise about the origin.
a)
C'(4, 6)
b)
C'(-4, -6)
c)
C'(6, 4)
d)
C'(-6, -4)
74.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
75.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
76.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
77.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
78.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
79.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

80.

Mrs. Collins made a scatterplot to show the relationship between the number of absences and a student’s final exam score. Based on this scatterplot, a student with 12 absences should get approximately what score on the final exam?

a)

60

b)

92

c)

70

d)

76

81.

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

82.

What type of correlation does this scatter plot show?

a)

positive

b)

negative

c)

no correlation

d)

nonlinear association

83.

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 pages would be in a book with 19 chapters.

a)

150 pages

b)

170 pages

c)

190 pages

d)

210 pages

84.
What would result from slicing a sphere?
a)
Circle
b)
Trapezoid
c)
Rectangle
d)
Triangle
85.
Is it possible for a cross section of a cylinder to have a triangular shape?
a)
yes
b)
no
c)
sometimes
86.

Evaluate the expression.

a)
b)
c)
d)
e)
87.

Select the exponent that makes the equation true.

a)

14

b)

28

c)

3

d)

21

e)

0

88.
What is the value of:
z0
a)
z2
b)
z
c)
0
d)
1
89.
Who has the greater rate of change?
a)
Hunter has the greater rate of change.
b)
Casey has the greater rate of change 
c)
They have the same rate of change
90.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
91.
Which tree was the tallest when it was first planted?
a)
Tree A
b)
Tree B
c)
Tree C
92.
The graph of this function is a straight line. 
a)
Linear
b)
Exponential
c)
neither
93.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
94.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations.

The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months.


Which statement is true?

a)

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

b)

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

c)

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

d)

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

95.
What is the relative frequency of students speaking Arabic?
a)
32%
b)
24%
c)
10%
d)
2%
96.
What is the relative frequency of students speaking Vietnamese?
a)
8%
b)
100%
c)
4%
d)
16%
97.
What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school? 
a)
4%
b)
14%
c)
13%
d)
29%
98.
According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?
a)
About 27%
b)
About 35%
c)
About 15%
d)
About 30%
99.
What is the relative frequency of a person who wears pants out of all those who wear sandals? 
a)
4%
b)
14%
c)
20%
d)
36%
100.
What is the relative frequency of people that purchased no food?
a)
10%
b)
60%
c)
15%
d)
30%

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