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Math 8

Total questions: 105

Worksheet time: 6hrs 24mins

Name
Class
Date
1.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
2.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

3.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
4.

What is the slope represented in the table?

a)

slope: 12\frac{1}{2}

b)

slope: 22

c)

slope: −12-\frac{1}{2}

d)

slope: −2-2

5.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
6.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

7.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

8.
Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0
a)
y=-3
b)
y=3x
c)
y=-3x
d)
x=-3
9.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
10.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
11.

Graph the line with the equation
y = −23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
12.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
13.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
14.

Graph

a)
b)
c)
d)
15.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
16.

Graph

a)
b)
c)
d)
17.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
18.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
19.

Which graph is correct for the given equation?

a)
b)
c)
d)
20.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

21.
Solve the equation:
-5x = 25
a)
x = 20
b)
x = -20
c)
x = -5
d)
x = 5
22.
Solve:
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
23.
Solve:
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
24.
What step would you take to solve this equation?
a)
Multiply both sides of the equation by 2
b)
Divide both sides of the equation by 2
c)
Add 2 to both sides of the equation
d)
Subtract 2 from both sides of the equation
25.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
26.

In the expression 3m + 8, the number 3 is called the ____________.

a)

variable

b)

constant

c)

coefficient

d)

answer

27.

In the expression 3m + 8, the number 8 is called the ____________.

a)

constant

b)

variable

c)

coefficient

d)

answer

28.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

29.
What is the inverse operation of multiplication? 
a)
multiplication
b)
addition
c)
subtraction 
d)
division 
30.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
31.

Simplify. 2h-4(h-5)

a)

2h+20

b)

-20-2h

c)

h=2

d)

-2h+20

32.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
33.
Solve for x:
6(2x + 1) = 18
a)
3
b)
17/12
c)
1
d)
2
34.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
35.
Solve for x: 
7x + 5 + x - 3 + x = 5
a)
1/3
b)
3
c)
3/7
d)
1
36.
Solve for x:
8x + 2 + 3x + 5 = x + 12
a)
-1/2
b)
2
c)
-2
d)
1/2
37.
What is the definition of no solution?
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
38.
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
39.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
40.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
41.
a)
100°
b)
80°
c)
90°
d)
180°
42.
a)
100°
b)
80°
c)
90°
d)
180°
43.
a)
100°
b)
80°
c)
90°
d)
180°
44.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
45.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
46.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
47.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
48.
If ∠COB is 124°, then what is ∠BOD? How are they related?
a)
56°, they are supplementary
b)
90°, they are complementary
c)
124°, they are vertical
49.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
50.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
51.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
52.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
53.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
54.
Find m∠ADE. 
a)
77°
b)
93°
c)
110°
d)
80°
55.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
56.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
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.
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
60.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
61.
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
b)
y = 9.65x + 43
y = 8.40x + 58
c)
y =9.65x
y = 8.40x
d)
y = 9.65x - 43
y = 8.40x - 58
62.
The solution to this system is...
a)
(4, -2)
b)
(4, 2)
c)
(-2, 4) 
d)
(-4, -2)
63.
What is the solution?
a)
(6, 3)
b)
(3, 6)
c)
(-6, 3)
d)
No solution
64.
What is the Solution to this system?
a)
(2,-2)
b)
(-2,2)
c)
All Real Numbers
d)
No Solution
65.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
66.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
67.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
68.
a)
greater than
b)
less than
c)
less than or equal to
d)
greater than or equal to
69.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
70.
 Which inequality can be represented by the graph?
a)
x < 5
b)
x > 5
c)
x ≤  5
d)
x ≥ 5
71.
a)

x ≤ -2

b)

x < -2

c)

x > -2

d)

x ≥ -2

72.

Which inequality matches the graph?

a)

x<3

b)

x>3

c)

x<3

d)

x>3

73.

When the following inequality is graphed, what will it look like?


2 > f

a)

open circle

b)

closed circle

74.

When the following inequality is graphed, what will it look like?


r < -12.97

a)

open circle

b)

closed circle

75.

When the following inequality is graphed, what will it look like?


y<5

a)

open circle

b)

closed circle

76.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
77.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
78.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
5572.45 cm3
b)
506.59 cm3
c)
126.65 cm3
d)
1393.11 cm3
79.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
80.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
81.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
82.
Find the volume to the nearest whole number using 3.14 instead of Pi.
a)
151 ft3
b)
152 ft3
c)
150 ft3
d)
150.72 ft3
83.
What is the formula for the volume of this shape?
a)
V = 2πr²h
b)
V = πr²h
c)
V=⅓πr2h
d)
V=πrh2
84.
What is the formula for the volume of this shape?
a)
V=3πr2h
b)
V=πr2h
c)
V=⅓πr2h
d)
V=πrh2
85.
A cone has a height of 12 ft and a diameter of 6 ft. What is the volume of the cone? Use exact pi.
a)
432π ft3
b)
144π ft3
c)
108π ft3
d)
36π ft3
86.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
87.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
88.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

89.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

90.
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
91.

Find the missing side. (Calculators are allowed)

a)

48

b)

108

c)

83.6

d)

72

92.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
93.

Find the Distance between (10,3) & (2,-3)

a)

11

b)

21

c)

10

d)

-21

94.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
95.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
96.

Which number is the BASE?

23 = 8

a)

2

b)

3

c)

8

97.

Simplify m12/ m3

a)

m9

b)

m4

c)

m-9

d)

-m9

98.
Simplify the expression.
a)
76
b)
7-5
c)
1/75
d)
75
99.
(52)3
a)
56
b)
55
c)
57
d)
58
100.

505^0  

a)

5

b)

1

c)

0

d)

undefined

101.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
102.

Which expressions are equivalent to 4−24^{-2}

a)

16

b)

142\frac{1}{4^2}  

c)

14−2\frac{1}{4^{-2}}  

d)

116\frac{1}{16}  

103.

22×242^2\times2^4  

a)

282^8  

b)

262^6  

c)

222^2  

d)

242^4

104.

Which expression is equilvalent to 125\frac{1}{25}  

a)

5−25^{-2}  

b)

525^2  

c)

25−225^{-2}  

105.

8 x 8 x 8 x 8 x 8

a)

85

b)

88

c)

8 x 8 x 8 x 8 x 8

d)

8