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WorksheetsMath 8 AIR Review
Total questions: 86
Worksheet time: 2hrs 48mins
Name
Class
Date
1.
Which fraction can be expressed as a terminating decimal?
a)
3/8
b)
7/12
c)
1/9
d)
2/3
2.
Which of the following number is an integer?
a)
3/5
b)
0.0852
c)
√3
d)
-12
3.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
4.
A perfect square is which type of number?
a)
Rational
b)
Irrational
5.
√2
a)
1
b)
2
c)
irrational
d)
∞
6.
What is the type of correlation?
a)
Negative
b)
no association
c)
positive
7.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
8.
What type of correlation does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
9.
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 140 pages.
a)
12 chapters
b)
19 chapters
c)
14 chapters
d)
21 chapters
10.
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%
11.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
12.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
13.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
14.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
15.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
16.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
17.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
18.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
19.
Square root of 16 is....
a)
8
b)
4
c)
2
d)
3
20.
4
a)
Is a perfect square.
b)
Is not a perfect square.
21.
Evaluate. 73
a)
313
b)
323
c)
333
d)
343
22.
What is the cube root of 27?
a)
9
b)
3
c)
-3
d)
-9
23.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube?
a)
1
b)
10
c)
100
d)
300
24.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
25.
How do you write
1001
in scientific notation?
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
26.
What is the simplified version of
(5.2 x 1013) / (1.3 x 10-7)
(5.2 x 1013) / (1.3 x 10-7)
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
27.
Solve:
(6.0 x 10^4) + (3.0 x 10^4)
(6.0 x 10^4) + (3.0 x 10^4)
a)
9.0 x 10^4
b)
3.0 x 10^4
c)
9.0 x 10^8
d)
3.0 x 10^0
28.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
29.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
30.
Translate:
Twelve less than a number
Twelve less than a number
a)
12 - x
b)
x - 12
c)
12x
d)
x + 12
31.
x/3+ 10 = 15
a)
75
b)
15
c)
25
d)
5
32.
Describe the solution set:
2(x + 5) = 2x + 5
2(x + 5) = 2x + 5
a)
one solution
b)
no solution
c)
infinitely many solutions
d)
two solutions
33.
Solve the equation:
4 - 6x - 2= -2(3x-1)
4 - 6x - 2= -2(3x-1)
a)
no solution
b)
infinitely many solutions
c)
x = ⅓
d)
x = 4
34.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
35.
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.
36.
How many solutions does this system of equations have?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
Two Solutions
37.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
38.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
39.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
40.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
41.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
42.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
43.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
44.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
45.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
46.
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
47.
Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
48.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
49.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
50.
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)
51.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
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.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
54.
What is congruency?
a)
Same size and shape
b)
Same size
c)
segment
d)
congruent
55.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
56.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
57.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
58.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
59.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
60.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
61.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
62.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
63.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
64.
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
65.
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
66.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
67.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
68.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
69.
Solve for C
a)
155
b)
90
c)
25
d)
65
70.
What is the sum of the measures of all the interior angles of a triangle?
a)
120°
b)
180°
c)
240°
d)
360°
71.
What is the sum of all angles?
a)
180
b)
1080
c)
720
d)
360
72.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
73.
What is the sum of the exterior angles?
a)
90 degrees
b)
180 degrees
c)
540 degrees
d)
360 degrees
74.
Find the value of y.
a)
125
b)
135
c)
140
d)
110
75.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
76.
a)
Function
b)
Not a Function
77.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
78.
.
a)
Function
b)
Not a Function
79.
What is x if
f(x) = -2?
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
80.
The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?
a)
After 5 week the plant is 4 inches tall
b)
The plant grows at a rate of 5/4 inch per week
c)
After 4 weeks the plant is 5 inches tall
d)
The plant grows at a rate of 1 inch per week
81.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
82.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
83.
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
84.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
85.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
86.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{-4, 0, 1, 2}
R:{-4, -3, 1}
R:{-4, -3, 1}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
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