WorksheetsGrade 8 Math Review
Total questions: 252
Worksheet time: 13hrs 36mins
Name
Class
Date
1.
Translations, rotations, and reflections are three different types of what?
a)
Transformations
b)
Geometry
c)
Vectors
d)
Shapes
2.
After a figure has been transformed, we call the new figure the...
a)
Image
b)
Different shape
c)
Figure that moved
d)
Prime
3.
Which set of directions describes the translation from ABCD to A'B'C'D'?
a)
Down 6, left 3
b)
Down 3, right 6
c)
Up 3, left 6
d)
Up 6, right 3
4.
Congruent means...
a)
The same angles.
b)
The same size and same shape.
c)
Equal to.
d)
The same transformation.
5.
The mathematical term for the line that you reflect a shape over is the...
a)
Mirror
b)
Reflective tape
c)
Line that you reflect over
d)
Line of reflection
6.
What is the best description for why two shapes are congruent after a reflection?
a)
They aren't.
b)
It's the same shape in a different place.
c)
The sides and angles do not change when you reflect.
d)
It's a reflection.
7.
Which type of rotation will not change the orientation of an object?
a)
90o rotation
b)
180o rotation
c)
270o rotation
d)
360o rotation
8.
If a shape in Quadrant 2 reflects over the x-axis, which quadrant will the reflection be in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
9.
If a shape in Quadrant 1 reflects over the y-axis, which quadrant will the reflection be in?
a)
Quadrant 1
b)
Quadrant 2
c)
Quadrant 3
d)
Quadrant 4
10.
What symbol is used to show that two things are congruent?
a)
≠
b)
≅
c)
≡
d)
=
11.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
12.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
13.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
14.
When you translate, (x-4 ,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
15.
When you translate, (x, y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
16.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
17.
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
18.
What is this picture an example of?
a)
Reflection
b)
Translation
c)
Rotation
d)
Dilation
19.
Describe the Transformation
a)
reflection and translation
b)
rotation and translation
c)
reflection and rotation
20.
What transformation is shown?
a)
Reflection
b)
Rotation
c)
Translation
21.
Describe the Transformation
a)
Translation
b)
Reflection
c)
Rotation
22.
Rotating a pre-image _____degrees will place it back to its original position.
a)
180
b)
90
c)
270
d)
360
23.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
24.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
25.
What Transformation is visible?
a)
Reflection
b)
Rotation
c)
Dilation
d)
Translation
26.
What Transformation is visible?
a)
Dilation
b)
Refection
c)
Translation
d)
Rotation
27.
What is the ordered pair for C' if reflected over the y-axis?
a)
(-3, 2)
b)
(3, 2)
c)
(-2, 3)
d)
(3, 0)
28.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
29.
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
30.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.
a)
B' (2 , 4.5)
b)
B' (-8 ,-18)
c)
B' (8 ,18)
d)
B' (9 ,4)
31.
A dilation produces a congruent figure
a)
True
b)
False
32.
When a dilation has a scale factor greater than one, the dilation is an enlargement.
a)
True
b)
False
33.
When the scale factor of a dilation is less than one, the dilation is a reduction.
a)
True
b)
False
34.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
35.
ABC is dilated about P(2, -4) by a scale factor of 3.
FInd the coordinates of B'.
a)
B'(0, 6)
b)
B'(-2, 0)
c)
B'(-4, 4)
d)
B'(-4, 2)
e)
B'(-6, 4)
36.
ABC is dilated about P(3, -1) by a scale factor of 0.5.
Find the coordinates of A'.
a)
A'(-2, 5)
b)
A'(-7, 2)
c)
A'(-2, 2)
d)
A'(-3.5, -2.5)
37.
What is the center of dilation, P?
a)
P(0,0)
b)
P(0, -1)
c)
P(2, 0)
d)
P(0, 2)
e)
P(-2, 0)
38.
What is the center of dilation, P?
a)
P(0,0)
b)
P(3, -1)
c)
P(3, -2)
d)
P(2, -3)
39.
What can you say about the scale factor, k?
a)
k > 1
b)
k = 1
c)
0 < k < 1
40.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
41.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
42.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
43.
Calculate the value of the scale factor between the 2 triangles
a)
2.5
b)
3
c)
3.5
d)
4
44.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
45.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question. The angles change unpredictably.
d)
The angles all change to larger angles.
46.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
47.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
48.
Are the triangles similar?
a)
Yes
b)
No
49.
Are the triangles similar?
a)
Yes
b)
No
50.
When you dilate a figure you...
a)
slide it.
b)
turn it.
c)
flip it.
d)
make it larger or smaller.
51.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
52.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
53.
What is ratio of any two corresponding sides?
a)
Scale Factor
b)
Corresponding Sides
c)
Similar Figures
54.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
55.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
56.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
3/2
c)
2
d)
3
57.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
58.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
59.
What is the scale factor?
a)
1/2
b)
7/3
c)
2
d)
10/3
60.
Are the following similar? Why or why not?
a)
Yes, because the corresponding angles are congruent.
b)
No, the numbers are even
c)
No, the sides are 2 times larger, but the width is the same.
61.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
62.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
63.
The slopes of parallel lines are...
a)
the same
b)
opposite
c)
always different
64.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
65.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
66.
Find the slope of the line that passes through:
(6,7) and (4,2)
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
67.
Find the slope of the line that passes through:
(2, 4) and (6, 12)
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
68.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
69.
What is the slope represented in the table?
a)
slope: 21
b)
slope: 2
c)
slope: −21
d)
slope: −2
70.
What is the Slope represented in this table?
a)
slope: −41
b)
slope: −4
c)
slope: 41
d)
slope: 4
71.
What is the slope of this equation?
y = 3x - 4
y = 3x - 4
a)
3
b)
-4
c)
3x
d)
4
72.
What is the y-intercept of this equation?
y = 5x + 8
y = 5x + 8
a)
(0, 5)
b)
(5, 0)
c)
(0, 8)
d)
(8, 0)
73.
Calculate the slope.
a)
m= -2
b)
m=-1/2
c)
m=2
d)
m=1/2
74.
What is the slope of the line?
a)
-6
b)
-2/3
c)
3/2
d)
4
75.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
76.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
77.
Write the equation of the line.
a)
y=(1/3)x-1
b)
y=(3/2)x -1
c)
y=3x-1
d)
y=(2/3)x-1
78.
Which equation has a positive slope?
a)
y= ¼x - 20
b)
y= -½x + 6
c)
y= -⅝x - 4
d)
y= 5 - x
79.
Which equation has a positive y-intercept and a negative slope?
a)
y= 3x - 5
b)
y= -3x + 5
c)
y= -3x - 5
d)
y= 3x + 5
80.
Which graph has an undefined slope?
a)
b)
c)
d)
81.
Rewrite the equation in slope-intercept form. x - 5y = 10
a)
y = ⅕x - 2
b)
y = -x - 2
c)
x = -10
d)
y = 27, 239, 430
82.
Rewrite the equation in slope-intercept form. 3x - 2y = 0
a)
y = (3/2)x
b)
y = -3x + 2
c)
x = 0
d)
y = 27, 239, 430
83.
Rewrite the equation in slope-intercept form. 4x - 3y = 15
a)
y = (4/3)x - 5
b)
y = ⅔x - 5
c)
x = ¾
d)
y = 27, 239, 430
84.
Rewrite the equation in slope-intercept form. 5x + y = -5
a)
y = -5x - 5
b)
y = ⅕x - 5
c)
x = ⅕
d)
y = 27, 239, 430
85.
Rewrite the equation in slope-intercept form. 5x - 4y = -20
a)
y = (5/4)x + 5
b)
y = -5x - 4
c)
x = 20
d)
y = 27, 239, 430
86.
33 = 4a - 7
a)
a=-10
b)
a=10
c)
a=4.5
87.
-3a + 8 = 14
a)
a= -2
b)
a= -7.5
c)
a= 2
d)
a= 6
88.
8v - 4(v + 8) = 8
a)
2
b)
10
c)
4
d)
-4
89.
2x - 3 + 4x = 27
a)
12
b)
4
c)
5
d)
15
90.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
91.
Solve the equation:
x/3+ 10 = 15
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
92.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
93.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
94.
7(1 - y) = -3(y - 2)
a)
x = 1/4
b)
x = 4
c)
x = 5
95.
Solve for t.
D= rt
D= rt
a)
D/r = t
b)
Dr = t
c)
D/t = r
d)
Dt = r
96.
Solve for f:
f - 4 = 6f + 26
f - 4 = 6f + 26
a)
f = -5
b)
f = 5
c)
f = 6
d)
f = -6
97.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
98.
Solve the equation:
7x - 4 = 3 + 8x
7x - 4 = 3 + 8x
a)
x = 7
b)
x = -7
c)
x = 2/7
d)
x = 11
99.
7x = 4x + 33
a)
x = 3
b)
x = 11
c)
x = 21
d)
x = 88
100.
Solve:
5y+34 = -2(-7y+1)
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
101.
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
102.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
103.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
104.
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
105.
Solve the system of equations.
y = 4x+1
3x + 2y = 13
y = 4x+1
3x + 2y = 13
a)
(1, 5)
b)
(5, 1)
c)
(0.25, 2)
d)
∅
106.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
107.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
108.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?
a)
y = 9.65 + x
y = 8.40 + x
y = 8.40 + x
b)
y = 9.65x + 43
y = 8.40x + 58
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
y = 8.40x - 58
109.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
110.
What is the solution to this system?
x = 7 - 2y
2x + y = 5
x = 7 - 2y
2x + y = 5
a)
(-1,4)
b)
(4,-1)
c)
(1,3)
d)
(3,1)
111.
A ________________ is a set of two or more equations that have the same variables.
a)
solution of a system
b)
elimination method
c)
system of equations
d)
table
112.
The ordered pair that satisfies all equations in the system.
a)
system of equations
b)
function
c)
graph
d)
solution of a system
113.
Find the solution to the system.
y = x-6
y = -3x + 2
y = x-6
y = -3x + 2
a)
(0, -6)
b)
(6, 0)
c)
(-4, 2)
d)
(2, -4)
114.
What kind of lines have no solution to a system of equations
a)
Parallell Lines
b)
Overlapping lines
c)
Intersecting Lines
d)
Skew Lines
115.
Each table represents (x,y) coordinates from two different equations of lines.
The two lines are part of a system of equations.
What is the solution of the system of equations?
a)
(5, 11)
b)
(2, 5)
c)
(-1, 1)
d)
(11, 5)
116.
What is the solution of the system of equations shown in the graph?
a)
(-1, -2)
b)
(-2, -1)
c)
(0, 1)
d)
There is no solution.
117.
The graph shows the line y = 2x - 3.
Which point exists on this line?
a)
(-3, 0)
b)
(2, 1)
c)
(5, 5)
d)
(1, 2)
118.
Substitute the point (-4,0) into the system of equations below to verify if the point is the solution or not.
y = x + 4
y = − 2 3 x - 1
a)
Yes, (-4, 0) is the solution to the system of equations.
b)
No, (-4, 0) is NOT the solution to the system of equations.
119.
Substitute the point (-2, 2) into the system of equations below to verify if the point is the solution or not.
y = x + 4
y = −23 x - 1
a)
Yes, (-2, 2) is the solution of the system of equations.
b)
No, (-2, 2) is NOT the solution of the system of equations.
120.
Substitute the point (-1, -2) into the system of equations below to verify if the point is the solution or not.
y = x + 1
y = -x - 3
a)
Yes, (-1, -2) is the solution to the system of equations.
b)
No, (-1, -2) is NOT the solution to the system of equations.
121.
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
122.
a)
Function
b)
Not a Function
123.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
124.
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.
125.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
126.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
127.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
128.
Is this table a function or not a function?
a)
Function
b)
Not a Function
129.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
130.
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)
131.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
132.
Does the table represent a function?
a)
Yes, there is a repeated x-value.
b)
No, there aren't any repeated y-values.
c)
Yes, there are repeated y-values.
d)
No, there is a repeated x-value.
133.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
134.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
135.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
136.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
137.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
138.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
139.
Find the volume of this shape
a)
1520.53
b)
276.46
c)
552.93
d)
6082.12
140.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
141.
What is the formula for volume of a CYLINDER?
a)
V = πr²
b)
V = πr²h
c)
V = ⅓πr²h
d)
V = ⅓LWH
142.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
143.
Find the volume of a cylinder with a height of 3 m and a diameter of 3 m. Round to the nearest tenth.
a)
21.2 m3
b)
84.8 m3
c)
28.3 m3
d)
25.6 m3
144.
A cylinder has a volume of 502.4cm3 and has a radius of 4cm. What is the height of the cylinder?
a)
10cm3
b)
10cm
c)
5cm2
d)
5cm
145.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
146.
a)
8.4 ft3
b)
100.5 ft3
c)
25 ft3
d)
16.8 ft3
147.
V = ?
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
148.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
149.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
150.
a)
400
b)
1200
c)
3600
d)
324
151.
a)
3 in
b)
15 in
c)
6 in
d)
9 in
152.
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
153.
Barney wanted to know how much ice cream he got in one scoop. The radius of a scoop is 2 inches. Find the volume. Use 3.14 for pi.
a)
345.3 in³
b)
33.5 in³
c)
25.1 in³
d)
50.2 in³
154.
Jack wants to know how much water a sphere can hold with a radius of 8 cm. Find the volume. Use 3.14 for pi.
a)
83.6 cm³
b)
2144.7 cm³
c)
254 cm³
d)
2220 cm³
155.
A sphere has the radius of 5 meters. Find the volume. Use 3.14 for pi.
a)
523.3 m³
b)
104.7 m³
c)
130.8 m³
d)
1570 m³
156.
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Use 3.14 for pi.
a)
345.8
b)
523.6
c)
1436
d)
205.1
157.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
158.
What shape is this?
a)
Cylinder
b)
Cone
c)
Sphere
159.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
160.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
161.
Simplify the expression:
c4⋅c3=
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
162.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
163.
In order to multiply powers with the same base, we add their exponents.
a)
True
b)
False
164.
Simplify the expression:
c4⋅c3=
c4⋅c3=
a)
c12
b)
c4+3
c)
c7
165.
Simplify the expression: 3x2⋅x2=
a)
3x
b)
3x2+2
c)
3x4
166.
According to exponent rules, when we raise a power to another exponent we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
167.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
168.
Simplify 4-2=
a)
1/16
b)
-16
c)
1/4
d)
-42
169.
When dividing powers with the same base, you _______________ the exponents.
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
170.
x6 / x2
a)
x4
b)
x12
c)
x3
d)
x8
171.
a)
b)
c)
d)
172.
x-3
a)
-x3
b)
1 / x3
c)
1 / x-3
d)
-x-3
173.
a)
b)
c)
d)
174.
a)
b)
c)
d)
175.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
176.
Write with positive exponents:
1/a-2
a)
a-2
b)
a2
c)
1/a1
177.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
178.
-4x0
a)
-4x
b)
-4
c)
1
d)
-1
179.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
180.
Simplify
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
181.
Simplify
a)
x4/3
b)
3x10
c)
36x10
d)
3x4
182.
a)
2 / x2
b)
-2x2
c)
2x2
d)
2x14
183.
Which number is the BASE?
23 = 8
23 = 8
a)
2
b)
3
c)
8
d)
not here
184.
What operation do you use with exponents?
a)
addition
b)
subtraction
c)
multiplication
d)
division
185.
What is the value of 1000?
a)
1
b)
0
c)
100
186.
What is the exponent form for
6?
6?
a)
60
b)
61
c)
6×1
d)
0
187.
Write each product using an exponent.
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7
a)
77
b)
78
c)
87
d)
79
188.
Which is greater, 26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
189.
(-5)3
a)
-15
b)
125
c)
-125
d)
-625
190.
Simplify to an equivalent expression BUT leave in exponent form. (use product rule)
43⋅45
43⋅45
a)
48
b)
168
c)
415
d)
1615
191.
a)
x1/2
b)
x3
c)
x2
d)
x-2
192.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
193.
Write the following in expanded form.
103
103
a)
10+10+10
b)
10x10x10
c)
3x10
d)
1,000
194.
a)
2
b)
4
c)
5
d)
5
195.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
196.
Simplify (24)(25)
a)
220
b)
49
c)
420
d)
29
197.
Simplify (6x7)2
a)
12x14
b)
36x14
c)
6x14
d)
6x9
198.
Simplify (-7y2)(5y4)
a)
-35y6
b)
-2y6
c)
-35y8
d)
-2y8
199.
a)
13
b)
43
c)
11.6
d)
41.6
200.
Simplify the expression x5x7
a)
x35
b)
x12
c)
x2
d)
x-2
201.
40
a)
0
b)
1
c)
4
d)
-4
202.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
203.
(ab8c)(a-17c10)
a)
a17b8c11
b)
a16b8c11
c)
(b8c11)/(a16)
d)
a-17b8c10
204.
Simplify:
2x2 (3xyz4)
2x2 (3xyz4)
a)
5x3yz4
b)
6x3yz4
c)
8x2yz4
d)
8x3yz4
205.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
206.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
207.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
208.
Simplify:
a)
x12/y22
b)
x8y14
c)
x12y22
d)
y22/x12
209.
Simplify:
a)
g15h24/f9
b)
f9/g15h24
c)
1/f9g15h24
210.
Simplify:
a)
243x20/y30
b)
15x20/y30
c)
3x20/y30
211.
The √98 falls between what two numbers on a number line?
a)
10 and 11
b)
11 and 12
c)
9 and 10
d)
90 and 100
212.
Which number is rational below?
a)
√20
b)
√64
c)
6π
d)
√7
213.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
214.
Which of the following is irrational?
a)
0.444444444
b)
-4/5
c)
π
d)
0.2
215.
Irrational numbers...
a)
reduce to π
b)
never end and never repeat
c)
can sometimes be perfect squares
d)
must be negative
216.
√4
a)
irrational
b)
rational
217.
√7
a)
Rational
b)
Irrational
c)
real
d)
fake
218.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
219.
What is the approximate value of √12
a)
2
b)
3.5
c)
4.5
d)
6
220.
What two integers would √26 fall between
a)
3 and 4
b)
5 and 6
c)
6 and 7
d)
5 and 7
221.
5/2
a)
Rational
b)
Irrational
222.
4.032
a)
Rational
b)
Irrational
223.
√31
a)
Rational
b)
Irrational
224.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
225.
Which number is rational?
a)
∛51
b)
√94
c)
∛12
d)
√64
226.
Pi
a)
Rational
b)
Irrational
227.
7.94 x 106
a)
Rational
b)
Irrational
228.
Which number is irrational?
a)
0.416
b)
-8/5
c)
∛64
d)
√27
229.
√81
a)
Rational
b)
Irrational
230.
-13
a)
Rational
b)
Irrational
231.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
232.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
233.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
234.
Which of the following sentences would belong in the proof that describes this image?
a)
The sum of the areas of the two smaller squares is equal to the area of the large square.
b)
The sum of the side lengths of the two smaller squares is equal to the side length of the large square.
c)
The difference of the areas of the two smaller squares is equal to the area of the large square.
d)
The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
235.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
236.
solve for c
a)
7
b)
9
c)
4
d)
13
237.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
238.
a)
The diagonal is 26 ft
b)
The diagonal is 31 ft
c)
The diagonal is 21.8 ft
d)
The diagonal is 20.9 ft
239.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
240.
a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?
Is this a right triangle?
a)
yes
b)
no
241.
what is the formula for finding the hypotnuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
242.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
243.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
244.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
245.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
246.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
247.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
248.
Find the missing side
a)
37
b)
17.66
c)
6
d)
312
249.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
250.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
251.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
252.
The pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
100 %
