WorksheetsSalt lake county 8th grade math review
Total questions: 110
Worksheet time: 3hrs 2mins
Name
Class
Date
1.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
2.
The formula for slope has _____ on top.
a)
y2- y1
b)
x2- x1
c)
y1- y2
d)
x1- x2
3.
The formula for slope has _____ on bottom.
a)
y2- y1
b)
x2- x1
c)
y1- y2
d)
x1- x2
4.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
5.
In the equation y=mx+b, b is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
6.
The horizontal axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
7.
The vertical axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
8.
When you translate, (x+2,y) will move _____.
a)
2 units right
b)
2 units left
c)
2 units up
d)
2 units down
9.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
10.
The formula A=∏r2 is used to find the area for ______.
a)
A square
b)
A triangle
c)
A circle
d)
A trapezoid
11.
The formula V=∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
12.
The formula V=(1/3)∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
13.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
14.
The Pythagorean Theorem is _____.
a)
a2+b2=c2
b)
a2+c2=b2
c)
b2+c2=a2
d)
a2-b2=c2
15.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
16.
2305684 converted to scientific notation is ______.
a)
2.305684 x 106
b)
2.305684 x 10-6
c)
0.2305684 x 107
d)
0.2305684 x 10-7
17.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
18.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
19.
Slope is ________.
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
20.
Sonya wrote the equation
y=0.1x + 5 to find the total cost of her phone bill, y, based on the number of texts she sends per month, x. What is the y-intercept of the equation of the line?
y=0.1x + 5 to find the total cost of her phone bill, y, based on the number of texts she sends per month, x. What is the y-intercept of the equation of the line?
a)
b=1/10
b)
b= 1/5
c)
b=1
d)
b=5
21.
At a home improvement store, customers can rent a small cargo truck to transport any large items they purchase. The store charges $20 as a rental fee plus $7.50 per hour to rent the truck. Which equation best represents the situation?
a)
y=7.5x - 20
b)
y=7.5x + 20
c)
y=20x - 7.5
d)
y=20x + 7.5
22.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
23.
What is .0002 in scientific notation?
a)
2.0 x 10-2
b)
2.0 x 10-3
c)
2.0 x 10-4
d)
2.0 x 10-5
24.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
25.
a)
Function
b)
Not a Function
26.
Solve.
3 - 5x = -9 + x
3 - 5x = -9 + x
a)
4
b)
3
c)
2
d)
1
27.
What number is an irrational number?
a)
Square root of 25
b)
Square root of 49
c)
Square root of 50
d)
Square root of 81
28.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
29.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
30.
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
31.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
32.
What is the slope?
a)
2/3
b)
3/2
c)
-7
d)
-5
33.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
34.
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)
35.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
36.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
37.
Simplify the following:
x2x3
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
38.
What is the value of:
(3/4)0
(3/4)0
a)
1
b)
0
c)
3/4
d)
3/16
39.
Write the following as an exponent:
7x7x7x7x7
7x7x7x7x7
a)
75
b)
57
c)
77
d)
55
40.
Simplify the following:
y6/y4
y6/y4
a)
y10
b)
y2
c)
y-2
d)
1/y2
41.
Simplify the following:
x-3
x-3
a)
1/x-3
b)
x3
c)
1/x
d)
1/x3
42.
What is the value of ∛27 +√64
a)
41
b)
11
c)
13
43.
-2... rational or irrational?
a)
Rational
b)
Irrational
44.
The cost of a hamburger (h) with different numbers of toppings (t) is represented by h = 3.55 + 0.40t. What does the 3.55 mean in the context of the problem?
a)
The cost will increase by $3.55 per topping
b)
The cost will be $3.95 for a hamburger with no toppings.
c)
The cost will be $3.55 no matter how many toppings you put on.
d)
The cost of the burger with no toppings will be $3.55.
45.
The graph represents the height of a burning candle. What is the meaning of the y-intercept?
a)
The time it takes to burn the entire candle.
b)
The rate at which the candle is losing height.
c)
The change in the height of the candle each hour.
d)
The original height of the candle.
46.
Which set of numbers contains only rational numbers?
a)
{2, 4.5, √16, ⅔, 8 x 106}
b)
{-3, -2, √18, 4.2}
c)
{π, 4, 0.345329..., -√25}
d)
{√27, π, -√36, 7.234}
47.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
48.
What is 5/8 as a decimal?
a)
0.375
b)
0.625
c)
0.5
d)
0.875
49.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
50.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
51.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
52.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
53.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
54.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
55.
What is the y-intercept (b) in the linear function?
y = 5x - 4
y = 5x - 4
a)
5
b)
-4
c)
-5
d)
4
56.
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
a)
price of a saxophone
b)
rental fee
c)
total cost
d)
number of months
57.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
58.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
59.
What is this?
a)
Linear function
b)
Nonlinear function
c)
Linear, but not a function
d)
Nonlinear and not a function
60.
You do lawn work for $13 an hour, but charge a $7.5 transportation cost. What rule represents your business model?
a)
y=13x - 7.5
b)
y=13x + 7.5
c)
y=20.5x
d)
y=7.5x + 13
61.
A dog walker earns $10 plus $3 per dog. What equation represents this model?
a)
y=3x + 10
b)
y=10x + 3
c)
y=13x
d)
y=10x - 3
62.
Which line has a rate of change equal to 0?
a)
Blue
b)
Red
c)
Green
d)
Pink
63.
Choose the best situation for the graph.
a)
A car is moving at a constant speed for several minutes. When it approaches a red light, it slows down and comes to a stop.
b)
A plant grows steadily and then has a growth spurt during the rainy season. It remains the same height for a while and then grows steadily again.
c)
A family buys a fish tank and some fish. After two weeks, they buy some more fish. After two more weeks, they buy even more fish.
d)
A monkey swings from a high branch to a lower branch. He climbs along the branch. Then he jumps to a higher branch and takes a nap.
64.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
65.
Find the length of the missing side
a)
48
b)
108
c)
83.6
d)
72
66.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
3.25, √ 10, 3π
67.
A decimal that stops (like 2.48) is which type of number?
a)
Rational
b)
Irrational
68.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
69.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
70.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
71.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
72.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
73.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
74.
solve for c
a)
7
b)
9
c)
4
d)
13
75.
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)
76.
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)
77.
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)
78.
Where will A' be at, if triangle ABC is reflected by
(x,y) --> (-x,y)?
(x,y) --> (-x,y)?
a)
(2,1)
b)
(1,-2)
c)
(-1,2)
79.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
80.
A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is closest to the volume of the cup in cubic centimeters?
a)
167 cm3
b)
209 cm3
c)
670 cm3
d)
502 cm3
81.
Alonso estimated the distance across a river as √232 meters. What is the approximate distance across the river to the nearest thousandth?
a)
15.032
b)
15.232
c)
15.632
d)
15.832
82.
Which number represents
4.6 x 10^-4 in standard form?
4.6 x 10^-4 in standard form?
a)
0.000046
b)
0.00046
c)
46,000
d)
460,000
83.
Find the volume of a sphere that has a radius of 15 cm.
a)
14,130 cm^3
b)
1,430 cm^3
c)
140,030 cm^3
d)
143 cm^3
84.
Find the volume of a cone that has a diameter of 10 in. and a height of 30 in.
a)
685 in^3
b)
785 in^3
c)
885 in^3
d)
78.5 in^3
85.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
86.
simplify 7-2
a)
1/72 = 1/49
b)
-49
c)
-14
d)
1/14
87.
Which of the following is not a perfect square?
a)
169
b)
49
c)
189
d)
225
88.
What is the length of one side of a square that has an area of 361 sq. in.?
a)
16 in.
b)
17 in.
c)
18 in.
d)
19 in.
89.
The formula V=(1/3)∏r2h is used to find the volume for ______.
a)
A cube
b)
A cylinder
c)
A sphere
d)
A cone
90.
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
91.
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)
92.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
93.
Which of the following equation(s) represent a linear function?
a) y = -2x + 7
b) y = x
c) y = x2 - 2
d) y = 2/x -2
a) y = -2x + 7
b) y = x
c) y = x2 - 2
d) y = 2/x -2
a)
A
b)
B
c)
A and B
d)
All but C
94.
What percentage of SUV's are driven by women?
a)
56.25%
b)
75%
c)
83.25%
d)
86.5%
95.
I am a letter or symbol that represents a quantity. What am I?
a)
equation
b)
expression
c)
variable
96.
I am a number sentence; two expressions that are shown as equal to one another. I am like a complete thought.
( 10 = 4 + 6) What am I?
a)
equation
b)
numerical expression
c)
variable
97.
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.
98.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
99.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
100.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
d)
Dilation
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.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
103.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
104.
Do these three sides make a triangle?
5, 6, 10
5, 6, 10
a)
Yes
b)
No
105.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
106.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
107.
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
108.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
109.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
110.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
100 %
