Worksheets8th Grade Standards Review
Total questions: 111
Worksheet time: 3hrs 54mins
Name
Class
Date
1.
How would 0.2424242424....... (.24 repeating) be classified?
a)
Real, Rational
b)
Real, Whole
c)
Real, Integer
d)
Real, Irrational
2.
Which of the following statements is always true?
a)
All integers are whole numbers
b)
All rational numbers are integers
c)
Some whole numbers are not rational numbers
d)
All whole numbers are integers
3.
a whole number is
a)
negative numbers
b)
natural numbers and 0
c)
every number in the world
d)
counting numbers
4.
natural, or counting numbers, include zero
a)
true
b)
false
5.
What is the definition of rational numbers?
a)
any # that can be written as a fraction
b)
any number that can not be written as a fraction
c)
the set of all known #s
d)
all of the above
6.
7⁰
a)
1
b)
7
c)
0
d)
-7
7.
In 23 what is the base?
a)
2
b)
3
c)
23
8.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
9.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
10.
What is 101 equivalent to?
a)
1
b)
10
c)
0
d)
100
11.
Rewrite using a positive exponent.
(-5)-4
(-5)-4
a)
(-5)4
b)
1/(-5)-4
c)
1/(-5)4
d)
-625
12.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
13.
Write in standard form:
6.254 x 106
6.254 x 106
a)
6,254,000
b)
6,254,000,000
c)
625,400
14.
Write in scientific notation:
0.0000378
0.0000378
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
15.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
3.25, √ 10, 3π
16.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
17.
(2 x 109)(4 x 10-4)
a)
8 x 1013
b)
8 x 1036
c)
8 x 105
d)
8 x 10-36
18.
(8.4 * 106)/(2.1 * 103)
a)
0.4 * 104
b)
400 * 10-3
c)
4 * 103
d)
4 * 102
19.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
20.
What is a square?
a)
Something you multiply by the 3rd power
b)
A shape
c)
A number you multiply by itself
21.
Square root of 16 is....
a)
8
b)
4
c)
2
d)
3
22.
True or false? 9² is 18
a)
True
b)
False
23.
-√144
a)
12
b)
13
c)
-12
d)
None of the above
24.
the square root √-25 is..
a)
5
b)
-5
c)
8
d)
none of the above
25.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
26.
132
a)
26
b)
196
c)
144
d)
169
27.
Find the cube root(s): ∛1
a)
1
b)
-1
c)
±1
d)
none
28.
What is the cube root of 8?
a)
4
b)
2
c)
-2
d)
-4
29.
What is the cube root of 125?
a)
5
b)
-5
c)
25
d)
-25
30.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
31.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
32.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
33.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
34.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
35.
|-6|
a)
6
b)
-6
c)
0
d)
-5
36.
-|18|
a)
18
b)
-18
c)
17
d)
-17
37.
|16| - |-5|
a)
21
b)
-21
c)
11
d)
-11
38.
|-3| + |19|
a)
16
b)
22
c)
-16
d)
-22
39.
-|-6| - |-18|
a)
24
b)
12
c)
-12
d)
-24
40.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
41.
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?
a)
1500 + 8t = 12
b)
12 + 8t = 1500
c)
1500 + 8t = 12t
d)
8t = 12t + 1500
42.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
43.
Write an equation that represents the relationship between the variables in the table.
a)
t=10d
b)
t=d-9
c)
t=10-d
d)
d=t+10
44.
What is the pattern in the table below?
a)
multiplying the number of shots by 3
b)
adding 3 to the number of shots
c)
adding 1 to the number of shots
d)
dividing the number of shots by 3
45.
What equation does this picture represent?
a)
x + 4 = 13
b)
3x + 4 = 1
c)
3x + 4 = 13
d)
x + 1 = 13
46.
What equation does this picture represent?
a)
2x + 1 = 1
b)
x + 2 = 3
c)
2x + 2 = 6
d)
2x = 6
47.
Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?
a)
15h ≤ 105
b)
15h > 105
c)
15h < 105
d)
15h ≥ 105
48.
Write an inequality:
Twenty-two more than four times a number is less than 82.
Twenty-two more than four times a number is less than 82.
a)
22 + 4n ≤ 82
b)
22 + 4n > 82
c)
82 + 22n ≥ 4
d)
22 + 4n < 82
49.
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.
a)
1.75 + 0.65m < 10
b)
1.75 + 0.65m > 10
c)
1.75m + 0.65 < 10
d)
1.75m + 0.65 > 10
50.
What is the rate of change?
a)
1
b)
5
c)
2
d)
10
51.
Find the rate of change
a)
2 dollars per ticket
b)
1/2 dollar per ticket
c)
-1/2 dollar per ticket
d)
-2 dollars per ticket
52.
Which rate of change represents the following the graph shown?
a)
$ 5 per movie
b)
$10 per movie
c)
$1 per movie
d)
$0.20 per movie
53.
Which of the following rates of change represents the graph?
a)
2 meters per second
b)
2 second per meter
c)
1 meter per second
d)
1 second per meter
54.
Which rate of change represents the graph shown?
a)
4 place settings in each box
b)
0.24 place setting in each box
c)
2 place setting in each box
d)
0.5 place setting in each box
55.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
56.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
57.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
58.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
59.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
60.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
61.
When you graph the exact same equation twice,
a)
you will have no solution.
b)
you will have one solution.
c)
you will have infinite solutions.
d)
you will graph a giraffe.
62.
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
63.
Johnny has to pay $15 for a large pizza and 1.50 for each topping. What is the meaning of the y-intercept?
a)
It cost 1.50 per topping
b)
It cost 1.50 for unlimited toppings
c)
It cost $15 for a large pizza
d)
It cost $15 for a large pizza with no toppings
64.
The graph represents the money in a savings account. What is the meaning of the y-intercept?
a)
The initial deposit was $30
b)
$30 is added to the account each week
c)
It took 30 weeks to same enough money to open an account
d)
not enough information
65.
The graph represents gasoline consumption when driving a certain distance in km. What is the meaning of the slope?
a)
The tank started with 50 L of gasoline
b)
the amount of gasoline consumed per km driven
c)
the distance it takes to lose a Liter of gas
d)
the gasoline is leaking because the slope is negative.
66.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
67.
-(n - 8) = -2
a)
6
b)
10
c)
-10
d)
-6
68.
22 + 2a = 37 + 6 + a
a)
21
b)
-21
c)
5
d)
6
69.
Solve and graph the inequality.
-2 + (m/4) ≤ -7
-2 + (m/4) ≤ -7
a)
A
b)
B
c)
C
d)
D
70.
-9a - 1 < 26
a)
a<-3
b)
a<3
c)
a>-3
d)
a>3
71.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
72.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
73.
Solve for x.
a)
7
b)
9
c)
-11
d)
-6
74.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
75.
Select all of the following that are true about alternate interior angles.
a)
Must be on the same side of the transversal
b)
Must be on opposite sides of the transversal
c)
Must be inside the parallel lines
d)
Must be outside the parallel lines
76.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
77.
WHAT IS THE VALUE OF X?
a)
16
b)
11.4
c)
0
d)
-16
78.
WHAT TYPE OF ANGLES ARE THEY?
a)
ALTERNATE INTERIOR
b)
SAME SIDE
c)
CONSECUTIVE
d)
CORRESPONDING
79.
WHAT IS THE VALUE OF X?
a)
-7
b)
9.4
c)
7
d)
-9.4
80.
WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?
a)
16X+180 = 90
b)
12X - 19 = 4X +1
c)
12X - 19 + 4X +1=90
d)
12X - 19 + 4X +1=180
81.
WHAT TYPE OF ANGLES ARE THEY
a)
ALTERNATIVE
b)
CONSERVATIVE
c)
CONSECUTIVE (SAME SIDE)
d)
CORRESPONDING
82.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
83.
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
84.
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
85.
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)
86.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
d)
Dilation
87.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
88.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
89.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
90.
A dilation produces a congruent figure
a)
True
b)
False
c)
D
91.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
92.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
93.
Which correctly describes the two transformations that were used to create the image on the graph?
a)
Reflection over the y-axia and a rotation 90o counter clockwise
b)
(x+10, y) and reflection over x-axis
c)
Rotation 90o clockwise and a reflection over the x-axis
d)
Reflection over the x-axis ad a translation (x+6,y)
94.
Which series of transformations were performed in the figure?
a)
Translation 5 units down, reflection over the y-axis
b)
Reflection over the x-axis, translation 6 units right
c)
Rotation 90o clockwise, reflection over the x-axis
d)
Rotation 180o clockwise, reflection over the y-axis
95.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
96.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
97.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
98.
What is the longest side of a right triangle called?
a)
A. Leg A
b)
B. Leg B
c)
C. Hypotenuse
d)
D. Pythagorean Theorem
99.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
100.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
101.
What is the distance between the two points? Round to the nearest tenth.
a)
6.3
b)
6.5
c)
6.7
d)
16
102.
A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?
a)
1,676 mm3
b)
18,850 mm3
c)
33,510.3 mm3
d)
268,083 mm3
103.
Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?
a)
377 cubic feet
b)
942 cubic feet
c)
2,958 cubic feet
d)
3,768 cubic feet
104.
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
105.
What shape is this?
a)
Pyramid
b)
Cylinder
c)
Circle
d)
Cube
106.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
107.
What type of correlation is shown in this plot?
a)
Positive
b)
Negative
c)
No Correlation
108.
What type of correlation is shown in this plot?
a)
Positive
b)
Negative
c)
No Correlation
109.
What type of correlation is shown in this plot?
a)
Positive
b)
Negative
c)
No Correlation
110.
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
111.
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 6 absences should get approximately what score on the final exam?
a)
65
b)
92
c)
70
d)
76
100 %
