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Worksheets8th Grade Math Spring 2017 Semester Test Review
Total questions: 125
Worksheet time: 5hrs 36mins
Name
Class
Date
1.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
2.
Solve:
3x + 7 = -8
3x + 7 = -8
a)
5
b)
-5
c)
-12
d)
-18
3.
Solve:
7x - 3x - 8 = 24
7x - 3x - 8 = 24
a)
8
b)
-8
c)
3.2
d)
4
4.
Solve:
-8 + 5x - 2 = 20
-8 + 5x - 2 = 20
a)
6
b)
-6
c)
2
d)
-2
5.
Mr. Smith needs to hire a plumber to do repairs at his house. The table shows the amounts Company A and Company B charges for a service call and their hourly rate. Which inequality represents the number of hours that would make Company B less expensive than Company A?
Push the screen if you want the words to go away.
Push the screen if you want the words to go away.
a)
75 + 20x > 55 + 44x
b)
75 + 44x > 55 + 20x
c)
75 + 20x < 55 + 44x
d)
75 + 44x < 55 + 20x
6.
Which situation can be represented by the equation
100 – 2x = 140 – 6x?
100 – 2x = 140 – 6x?
a)
Tank A has 100 gallons of water and gains 2 gallons per hour. Tank B has 140 gallons and gains 6 gallons per hour. When will the tanks have the same amount of water?
b)
Tank A has 100 gallons of water and loses 2 gallons per hour. Tank B has 140 gallons and loses 6 gallons per hour. When will the tanks have the same amount of water?
c)
Tank A has 100 gallons of water and gains 2 gallons per hour. Tank B has 140 gallons and gains 6 gallons per hour. When will Tank A have more water than Tank B?
d)
Tank A has 100 gallons of water and loses 2 gallons per hour. Tank B has 140 gallons and loses 6 gallons per hour. When will Tank A have more water than Tank B?
7.
Solve for m:
m - n = 5
m - n = 5
a)
m = 5 + n
b)
m = -5 - n
c)
m = -5 + n
d)
m = 5 - n
8.
What should we do first to solve for x?
y=mx+b
y=mx+b
a)
Add
b)
Subtract
c)
Multiply
d)
Divide
9.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
10.
Solve for n:
2m - n = 8
2m - n = 8
a)
n = 2m - 8
b)
n = -2m - 8
c)
n = 2m + 8
d)
n = -2m + 8
11.
Solve for x:
y=(x-v)/b
y=(x-v)/b
a)
x = yb - v
b)
x = by - v
c)
x = by + v
d)
I <3 math
12.
a)
Y=2x+1
b)
Y=x+2
c)
Y=-2x-1
d)
Y=x-2
13.
The slope is 4/3. Explain where I move from my starting point.
a)
I go to the left 6 and to the right 8
b)
I go up 3 and to the left 4
c)
I go down 3 and to the left 4
d)
I go up 4 and to the right 3
14.
Please write the following equation in slope intercept form (Y=mx+b)
Y-1=2(x+4)
Y-1=2(x+4)
a)
Y=2x+4
b)
Y=2x-1
c)
Y-1=2x+8
d)
Y=2x+9
15.
Which of the following points could also be known as a y-intercept.
a)
(-9,0)
b)
(1,1)
c)
(0,4)
d)
(4,4)
16.
In the equation, y = mx + b, the letter b is the ___________.
a)
y-intercept
b)
x-intercept
c)
slope
d)
rate of change
17.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
18.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
19.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
20.
What is the slope of the equation?
y = -3x + 4
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
21.
At a fair, hamburgers sell for $3.00 each and hot dogs sell for $1.50 each. The equation 3x + 1.5y = 30 describes the number of hamburgers and hot dogs a family can buy with $30. Find and interpret the x-intercept
a)
If they buy no hot dogs, they can buy 20 hamburgers.
b)
If they buy NO hamburgers, they can buy 20 hot togs
c)
They will just have to go hungry.
d)
I'd rather have pizza.
22.
At a baseball game, Doug has $12 to spend on popcorn and peanuts. The peanuts are $4 and the popcorn is $2. The function 4x + 2y = 12 describes the amount of peanuts x and popcorn y he can buy if he spends all his money. The function is graphed below. Find the intercepts. What does each intercept represent?
a)
Let's get a hot dog instead.
b)
No peanuts, 6 popcorns. 3 peanuts, and no popcorns
c)
No peanuts, and 5 popcorns.
3 peanuts, not popcorn
3 peanuts, not popcorn
23.
The Smith family bought 4 sandwiches and 3 salads. They spent $24. 4x + 3y = 24 describes the cost of each sandwich (x) and the cost of each salad (y). Find and interpret each intercept.
a)
($0 per sandwich, $8 per salad) and ($6 per sandwich, $0 per salad)
b)
I want a combo dinner.
c)
$6 per sandwich and $8 per salad
d)
Does that come with fries?
24.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
25.
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)
26.
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)
27.
Solve the system:
x + 6y = 17
x - 3y = 8
x + 6y = 17
x - 3y = 8
a)
(5, 2)
b)
(11, 1)
c)
(1, 11)
d)
no solution
28.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
29.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
30.
What is the equation of the line that has a slope of 3 and goes through the point (5,4)?
a)
y = 3x - 11
b)
y = 3x + 11
c)
x = 3
d)
y = -3x - 11
31.
Find the equation of the line that goes through the points (3,8) and (9,16).
a)
y = 4/3x - 12
b)
y = 4/3
c)
y = 4/3x + 4
d)
4/3
32.
Find the slope between the points (5,7) and (-3,4).
a)
-3/2
b)
-3/8
c)
3/2
d)
3/8
33.
Find the slope between the points (2,5) and (8,6).
a)
6
b)
4/3
c)
1/6
d)
-1/6
34.
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:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
35.
Which of these is NOT continuous data.
a)
A person's height each year.
b)
The volume of water in a swimming pool each day
c)
Cars finished in a factory each day
d)
A person's weight on each birthday
36.
Which of these is NOT discrete data:
a)
Height of a sunflower as measured each day.
b)
How many students are absent from school each day.
c)
How many widgets a business sells each day.
d)
The number of people who drive through a red light.
37.
Daily rainfall is an example of what sort of data?
a)
Discrete
b)
Continuous
38.
The distance that a cyclist rides each day is what sort of data?
a)
Discrete
b)
Continuous
39.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
40.
a)
{1, 2, 3, 4, 5}
b)
{-1, 1, 2, 3}
c)
{1, 2, 3, 5}
d)
[1, 5]
41.
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}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
R: {1, -3, -4, 1}
42.
What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
(9, -2) (4, 3) ( 8, 10) ( -4, 8)
a)
{-4, 4, 8, 9}
b)
{-2, 3, 8, 10}
c)
{(9, -2) ( 4, 3)}
d)
{(8, 10) (-4, 8)}
43.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
44.
a)
{-2, 3, 7}
b)
[-2, 3]
c)
{1, 2, 2, 3, 4}
d)
[1, 4]
45.
What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)
(2, 4), (5, 5), (8, 6), (11, 7)
a)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
b)
{2, 5, 8, 11}
c)
{4, 5, 6, 7}
d)
{2, 4, 5, 8, 6, 11, 7}
46.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
47.
What is the range?
a)
{-2, -1, 0, 3}
b)
{3, 0, -1, 0, -2}
c)
{-4, -2, 1, 2, 5}
d)
{-4, -2, -1, 0, 1, 2, 3, 5}
48.
The table represents a function. Is it linear or non-linear?
a)
Linear
b)
Nonlinear
49.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
50.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
51.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
52.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
53.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
54.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
55.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
56.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
57.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
58.
Find the missing angle. Find x.
a)
20o
b)
70o
c)
160o
d)
180o
59.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
60.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
61.
Identify the type of angle shown.
a)
Complementary
b)
Supplementary
62.
This is what kind of angle?
a)
right
b)
acute
c)
obtuse
d)
straight
63.
This is what kind of angle?
a)
acute
b)
obtuse
c)
right
d)
straight
64.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
65.
complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
66.
Find the complement of the angle
a)
105
b)
15
c)
165
d)
75
67.
Find the missing angle.
a)
60
b)
70
c)
50
d)
140
68.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
69.
How are these angles related?
a)
Vertrical
b)
Complementary
c)
Adjacent
d)
Supplementary
70.
Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
71.
Angles inside a pair of lines on the opposite sides of a transversal and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
72.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
73.
These angles are congruent.
a)
All of these
b)
Corresponding
c)
Alternate Interior
d)
Vertical
74.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
75.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
76.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
77.
a)
∠E=140°
b)
∠E=40°
c)
∠E=180°
d)
∠E=50°
78.
a)
∠F=140°
b)
∠F=40°
c)
∠F=180°
d)
∠F=50°
79.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
80.
a)
∠I=105°
b)
∠I=75°
c)
∠I=15°
d)
∠I=5x°
81.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
82.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
83.
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
84.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
85.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
86.
Between which two whole numbers is the square root of 277?
a)
15 and 16
b)
16 and 17
c)
18 and 19
d)
14 and 15
87.
Estimate the square root.
a)
3
b)
4
c)
5
d)
6
88.
Find the best estimate for √18 .
Look at the number line.
Look at the number line.
a)
4.2
b)
4.4
c)
5.1
d)
4
89.
33, 25, 42, 25, 31, 37, 46, 29, 38
What is the third quartile (UQ) of the data?
What is the third quartile (UQ) of the data?
a)
37
b)
38
c)
40
d)
46
90.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
91.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
92.
Find the mean of these numbers:
2, 57, 38, 42, 6
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
93.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
94.
What is the minimum value (lower extreme) of this data set?
a)
50
b)
30
c)
35
d)
25
95.
What is the maximum value?
a)
58
b)
66
c)
64
d)
60
96.
What percentage of the data is between 40 and 150?
a)
25 %
b)
50%
c)
75%
d)
100%
97.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
98.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
99.
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
100.
What is a line of best fit used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
101.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
102.
-2(x+2) < 14
a)
x < - 5
b)
x > -5
c)
x < -9
d)
x > -9
103.
14 < -2a + 6 - 2a
a)
a > -2
b)
a < -2
c)
a > 2
d)
a < 2
104.
Write the inequality:
You have to be 54 inches or taller to ride the American Eagle
You have to be 54 inches or taller to ride the American Eagle
a)
x > 54
b)
x < 54
c)
x ≥ 54
d)
x ≤ 54
105.
All students must get at least a 60% for the year in order to pass math.≥≤
a)
x = 60
b)
x > 60
c)
x ≥ 60
d)
x ≤ 60
106.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
107.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
108.
What inequality does the number line graph represent
a)
x ≤ 4
b)
x ≥ -4
c)
x < -4
d)
x < 4
109.
What inequality does the number line graph represent?
a)
x ≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ -3
110.
Convert to scientific notation:
520,000,000
520,000,000
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
111.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
112.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
113.
Multiply:
(3.4 x 105)(1.2 x 10-3)
(3.4 x 105)(1.2 x 10-3)
a)
4.08 x 10-8
b)
4.8 x 102
c)
4.08 x 102
d)
4.08 x 10-15
114.
Multiply:
(9.4 x 106)(3.2 x 105)
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
115.
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
116.
Express the following in standard notation:
8.025 x 10-8
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
117.
What is scientific notation?
a)
A long way to write really short numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
118.
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
119.
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
120.
Simplify the expression.
(m8k3)/(m6k2)
(m8k3)/(m6k2)
a)
m2/k
b)
1/(m2k)
c)
m2k
d)
k/m2
121.
Simplify the expression.
(2mp)3
(2mp)3
a)
2mp3
b)
2m3p3
c)
6m3p3
d)
8m3p3
122.
Simplify the expression.
1/(w-5)
1/(w-5)
a)
1/w5
b)
w5
c)
w-5
d)
1/w-5
123.
Simplify the expression
a)
x28y12 / x2y
b)
x28y12 / x8y4
c)
x20y8
d)
100
124.
Simplify the expression.
a)
1/(7a2b4)
b)
b4/(7a2)
c)
7a2b4
d)
49a16b4
125.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
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