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Worksheets8th Grade Targets
Total questions: 72
Worksheet time: 5hrs 49mins
Name
Class
Date
1.
Is the following number rational or irrational? 0.333...
a)
Rational
b)
Irrational
2.
Select the ONLY number that is RATIONAL
a)
π
b)
π/4
c)
√2
d)
√49
3.
Is the following number rational or irrational? 0.333...
a)
Rational
b)
Irrational
4.
Select the ONLY number that is RATIONAL
a)
π
b)
π/4
c)
√2
d)
√49
5.
Mr. Cleaves wrote four irrational numbers on the SMART board and asked Saul to choose the number closest to 4. Which irrational number should Saul choose?
a)
√8
b)
√17
c)
√12
d)
√10
6.
∛8
a)
2
b)
-2
c)
±2
d)
None
7.
Estimate 2√18
a)
8.4
b)
8
c)
9.2
d)
10
8.
Simplify the following expression:
(-12)0
a)
-1
b)
1
c)
12
d)
-12
9.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
10.
7⁵⁄7³
a)
7²
b)
7
c)
1
d)
7⁸
11.
Simplify
m⁵⋅m²
m⁵⋅m²
a)
m⁷
b)
m³
c)
m¹⁰
d)
m²
12.
Simplify
(y³)⁵
(y³)⁵
a)
y¹⁵
b)
y⁸
c)
y⁻²
d)
y
13.
Express the following in scientific notation:
.000457
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
14.
Convert to scientific notation:
520,000,000
a)
52 x 107
b)
5.2 x 10-7
c)
5.2 x 108
d)
0.52 x 109
15.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
16.
Write 9,450,000 in scientific notation.
a)
9.45 x 104
b)
9.45 x 105
c)
9.45 x 106
d)
.945 x 107
17.
Write the answer in scientific notation.
4.1 x 105 + 5.5 x 106 =
4.1 x 105 + 5.5 x 106 =
a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
18.
Write 0.54 x 105 in scientific notation.
a)
5.4 x 106
b)
5.4 x 105
c)
5.4 x 104
d)
54 x 103
19.
Divide.
Write the answer in scientific notation.
5 x 1012
------------
2 x 106
a)
2.5 x 102
b)
2.5 x 106
c)
3 x 102
d)
2.5 x 1018
20.
Choose the best explaination
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
21.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
c)
both
d)
neither
22.
What is the function of the table?
a)
y=3x+1
b)
y=4x-2
c)
y=x+1
d)
y=x+7
23.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c = 4b- 2.75
d)
c = 2.75b - 4
24.
You are visiting Houston, Texas and a taxi cab company charges a flat rate of $4.00 for using the cab and $0.95 per mile. Write an equation to determine the cost when x miles is driven.
a)
y = .75x
b)
y = .95x
c)
y = .95x + 4
d)
y=4.95x
25.
Write the an equation for the graph shown.
a)
y = -2x + 2
b)
y = 2x + 2
c)
y = 1/2x- 2
d)
y = -1/2x + 2
26.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
27.
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
28.
Which line has a negative slope?
a)
Yellow
b)
Red
c)
Blue
d)
Green
29.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
30.
The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.What is the meaning of the y-intercept?
a)
It costs $3.50 per minute to rent a kayak.
b)
For $0 you can rent a kayak for 3.5 minutes.
c)
Every 3.50 minutes, you have to pay $1.00.
d)
You have to pay $3.50 up front before using the kayak.
31.
a)
Function
b)
Not a Function
32.
Is this table a function or not a function?
a)
Function
b)
Not a Function
33.
Is this table a function or not a function?
a)
Function
b)
Not a Function
34.
Which of these is a solution to the equation
y = 2x-7?
y = 2x-7?
a)
(2,-3)
b)
(0, 7)
35.
Is the table linear or non-linear?
a)
Linear
b)
Non-Linear
36.
Is this graph linear or non-linear?
a)
Linear
b)
Non-Linear
37.
Determine the slope:
(4, 6) and (7, 10)
(4, 6) and (7, 10)
a)
4/3
b)
3/4
c)
Undefined
d)
-4/3
38.
Which linear function has the LEAST rate of change?
a)
b)
39.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
40.
a)
b)
c)
d)
41.
What is the slope?
a)
-3
b)
-1/3
c)
-10
d)
-4
42.
Which rate of change represents the graph shown?
a)
80 mile per hour
b)
2 hours per mile
c)
40 miles per hour
d)
60 miles per hour
43.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
44.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
45.
How many solutions does this graph have?
a)
One
b)
None
c)
Definitely infinite
d)
Possibly infinite
46.
Solve:
2(2t - 3) = 6(t + 2)
2(2t - 3) = 6(t + 2)
a)
t=3
b)
t=4
c)
t=-9
d)
t=-3
47.
Which ordered pair is the solution of the system graphed below?
a)
(2, 0)
b)
(8, 0)
c)
(-3, 5)
d)
(3, 8)
48.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
49.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
50.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
y = 2x - 3
b)
x + y = 33
x = 2y - 3
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
x = 33 - 2y
51.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
52.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
53.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
54.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
55.
Which of the following are congruence transformations?
a)
Rotations
b)
Translations
c)
Reflections
d)
All Three
56.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
57.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
58.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
59.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
4, 5, 6
a)
Yes
b)
No
60.
What is the longest side of a right triangle?
a)
Legs
b)
Hypotenuse
c)
Long Side
d)
Short side
61.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
62.
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.
63.
How do you find the volume of a cylinder?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
64.
How do you find the volume of a cone?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
65.
How do you find the volume of a sphere?
a)
V= 1/3 πr2h
b)
V= 4/3 πr2h
c)
V= 4/3 πr3
d)
V= πr2h
66.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
67.
A cone has a height of 12 ft and a diameter of 6 ft. What is the volume of the cone?
a)
432π ft3
b)
144π ft3
c)
108π ft3
d)
36π ft3
68.
Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
69.
Find the volume.
a)
151.2
b)
163.7
c)
179.1
d)
186.3
70.
A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?
a)
4 units
b)
2 units
c)
3 units
d)
5 units
71.
A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?
a)
8 inches
b)
4 inches
c)
12 inches
d)
16 inches
72.
A cylinder and a cone have congruent bases and heights. What will be the relationship of the volumes of the two figures?
a)
The volume of the cylinder will be twice the volume of the cone.
b)
The volume of the cone will be one-fourth the volume of the cylinder.
c)
The volume of the cylinder will be 4/3 the volume of the cone.
d)
The volume of the cylinder will be three times the volume of the cone.
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