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Worksheets11 14 8th Grade Math Lab Review
Total questions: 145
Worksheet time: 7hrs 7mins
Name
Class
Date
1.
Does the graph show a proportional relationship?
a)
Yes
b)
No
2.
Does the graph show a proportional relationship?
a)
Yes
b)
No
3.
Does the table show a proportional relationship?
a)
Yes
b)
No
4.
Does the table show a proportional relationship?
a)
Yes
b)
No
5.
Does the table show a proportional relationship?
a)
Yes
b)
No
6.
Does the equation show a proportional relationship?
a)
Yes
b)
No
7.
Does the equation show a proportional relationship?
a)
Yes
b)
No
8.
Does the equation show a proportional relationship?
a)
Yes
b)
No
9.
What is the equation of the table?
a)
y = 11x + 5
b)
y = 11x - 5
c)
y = 12x + 27
d)
y = 12x - 27
10.
What is the equation of the table?
a)
y = 11x + 5
b)
y = 11x - 5
c)
y = 12x + 27
d)
y = 12x - 27
11.
What is the equation of the graph?
a)
y = x + 2
b)
y = 1/2x
c)
y = 2x
d)
y = x + 1
12.
What is the equation from the table?
a)
y = x + 9
b)
y = 9x + 9
c)
y = 9x
d)
y = x - 9
13.
Does the graph show a proportional relationship?
a)
Yes
b)
No
14.
Proportional or Non-Proportional:
The cell phone rate is $9.99 each month and 3 cents a minute
The cell phone rate is $9.99 each month and 3 cents a minute
a)
Proportional because you are charged $9.99 consistantly
b)
Non-Proportional because you get charged 3 cents extra per minute
c)
Proportional because you are charged 3 cents per minute
d)
Non-Proportional because there is no equation
15.
Does the equation show a proportional relationship?
a)
Yes there is no C.O.P.
b)
No because if your x=0 then your y=9 and the line would not pass through the origin
c)
Yes because you add 9 and that is consistant
d)
No because there is no C.O.P.
16.
James is going bowling. It will cost him $1.75 per games plus $2.50 to rent the shoes. What is the equation used to calculate the cost of going bowling?
a)
y=1.75x+2.50
b)
y=2.50x+1.75
c)
y=1.75x-2.50
d)
y=-1.75+2.50x
17.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.
The video game rental fee is $15 plus $3 per day.
a)
Proportional
b)
Non-Proportional
18.
Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional
19.
Which best describes the equation?
y = 75x
y = 75x
a)
Proportional
b)
Nonproportional
20.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
21.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
22.
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
23.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
24.
Find the slope from the table.
a)
1/4
b)
-1/4
c)
-4/1
d)
4/1
25.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
26.
Determine the slope and y-intercept from the following equation: y = 3/2x + 3
a)
slope: 5 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 4 y-intercept: (0,3/2)
d)
slope: 1/5 y-intercept: (0,5)
27.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
28.
Is the graph proportional or non proportional?
a)
Proportional
b)
Non-Proportional
29.
Why does this graph show a non-proportional relationship?
a)
It doesn't, it is proportional because it is a straight line
b)
It goes through the origin
c)
It does not go through the origin
d)
It is a straight line
30.
Does this graph represent a proportional relationship?
a)
No, because it doesn't pass through the origin.
b)
Yes, because it is linear (striaght).
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
31.
A line is linear if it forms a straight line. A line that does not form a straight line is non-linear. Which best describes this graph?
a)
linear and non-proportional
b)
non-linear and non-proportional
c)
linear and proportional
d)
non-linear and proportional
32.
Is the graph proportional or non proportional?
a)
Proportional because it is a straight line and passes through the origin (0,0).
b)
Non-Proportional because it doesn't pass through the origin (0,0).
33.
The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.
a)
The graph is proportional because the y to x ratio is constant (the same).
b)
The graph is non-proportional because it does not pass through the origin (0,0).
c)
The graph is proportional because it is linear (a straight line).
d)
The graph is non-proportional because it is linear (a straight line).
34.
What are the main characteristics of a proportional relationship between two variables?
a)
They pass through the origin.
b)
They are linear (straight line) and also pass through the origin.
c)
They are curved
d)
The x to y ratio is a constant of proportionality.
35.
REVIEW QUESTION
Which best describes the graph represented in this table?
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
36.
Is the following equation a proportional relationship?
y = 4x + 0
y = 4x + 0
a)
Yes
b)
No
37.
Is the following equation a proportional relationship?
y = x
y = x
a)
No
b)
Yes
38.
Is the following equation a proportional relationship?
y = -1/4x
y = -1/4x
a)
Yes
b)
No
39.
Is the following equation a proportional relationship?
y = -3x+4
y = -3x+4
a)
Yes
b)
No
40.
Is the following equation a proportional relationship?
y=2x-1
y=2x-1
a)
Yes
b)
No
41.
Which best describes this graph?
y= 3.75x + 2
y= 3.75x + 2
a)
Proportional
b)
Non-proportional
42.
What is the y-intercept for the following table and is it proportional or non-proportional?
a)
Proportional, y-intercept is 0
b)
Non-proportional, y-intercept is 0
c)
Proportional, slope is 0
d)
Non-proportional, slope is 0
43.
Is this table proportional?
a)
Yes
b)
No
44.
Which equation form is proportional?
a)
y= Kx
b)
y=mx+b
45.
Does the equation show a proportional relationship?
a)
Yes
b)
No
46.
Does the equation show a proportional relationship?
a)
Yes
b)
No
47.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
48.
Does the equation show a proportional relationship?
a)
Yes
b)
No
49.
Does the table show a proportional relationship?
a)
Yes
b)
No
50.
Does the table show a proportional relationship?
a)
Yes
b)
No
51.
Does this graph represent a proportional relationship?
a)
Yes, because the line is pretty.
b)
No, because the line goes through the origin.
c)
Yes because the line goes through the origin.
d)
No, because the graph is non-proportional.
52.
Does this graph represent a proportional relationship?
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
53.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
54.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
55.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
56.
Does the set of numbers represent a right triangle?
20, 25, 15
a)
Yes
b)
No
57.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
58.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
59.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
60.
a= 12, b= 35, c= ? Find c
a)
32
b)
37
c)
19
d)
20
61.
All of the a square plus all of the b square will perfectly fill the c square with nothing left over.
a)
True
b)
False
62.
What is the name for side c?
a)
head
b)
body
c)
hippopotamus
d)
hypotenuse
63.
John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
64.
Find the distance between these 2 points.
a)
5.8
b)
6.3
c)
8.1
d)
40
65.
Solve for x.
a)
38.9
b)
40.2
c)
45.6
d)
54
66.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
67.
Erika 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
68.
Sides a and b are called legs.
a)
true
b)
false
69.
The Pythagorean Theorem is
a2 + b2 = c2
a)
false
b)
true
70.
Which equation can be used to solve the word problem: A TV is 40 inches (diagonally) and the height is 30 inches. How wide is the TV?
a)
302 + 402 = c2
b)
a2 + 402 = 302
c)
302 + b2 = 402
d)
402 + 302 = c2
71.
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.
72.
what is the missing length?
a)
50 yards
b)
60 yards
c)
70 yards
d)
80 yards
73.
Mr. Brooks wants to know the height of a pole in his yard. He knows that he can use the Pythagorean Theorem which is a2+b2=c2. Which drawing below represents a model he could use to find the height of the pole?
a)
b)
c)
d)
74.
Matt placed a 10-foot ladder against the side of his house so that the base of the ladder was 3 feet from the base of the house, as shown in the picture.
Which measurement in feet is closest to d, the distance from the top of the ladder to the ground?
a)
10.4 ft
b)
7.0 ft
c)
6.5 ft
d)
9.5 ft
75.
If the three sqaures come together to form a right triangle as indicated in the drawing, what is the area of x?
a)
32 cm2
b)
576 cm 2
c)
674 cm 2
d)
176 cm2
76.
Which measurements could not represent the side lengths of a right triangle?
a)
6 cm, 8 cm, 10 cm
b)
12 cm, 35 cm, 37 cm
c)
4 cm, 6 cm, 10 cm
d)
10 cm, 24 cm, 26 cm
77.
Robby walks 4 blocks east and 3 blocks north to get to school from his house. How many fewer blocks would Robby have to walk from his houseto school if he were able to walk diagonally between two locations?
a)
7
b)
5
c)
2
d)
1
78.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
79.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
80.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
81.
To use the Pythagorean Theorem, the triangle MUST be what kind of triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
82.
Find the distance of the segment. Round to the tenths.
a)
9.4 units
b)
11.7 units
c)
8.2 units
d)
10.3 units
83.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
84.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
85.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
86.
Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.
a)
True
b)
False
87.
Scientific Notation is made up of two number parts. The second part is a power of base 10.
a)
True
b)
False
88.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
89.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
90.
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
91.
How do you write
8.317 x 106
in standard form?
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
92.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
93.
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
94.
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
95.
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
96.
Express the following in scientific notation:
.000045
.000045
a)
4.5 x 10-5
b)
45 x 10-6
c)
4.5 x105
d)
45 x 106
97.
Express the following in scientific notation:
10,030,400,000
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
98.
Express the following in scientific notation:
0.0000002203
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
99.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
100.
Put in the symbol to make the statement true...
-17.5 _________ -√121
-17.5 _________ -√121
a)
>
b)
<
c)
=
101.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
102.
3. Which list of numbers is in order from least to greatest?
A. 5/8, 9/16, 5/12
B. 5/12, 9/16, 5/8
C. 9/16, 5/12, 5/8
D. 9/16, 5/8, 5/12
A. 5/8, 9/16, 5/12
B. 5/12, 9/16, 5/8
C. 9/16, 5/12, 5/8
D. 9/16, 5/8, 5/12
a)
A
b)
B
c)
C
d)
D
103.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
104.
Which set of rational numbers is arranged from greatest to least?
a)
A -6/5, -1/2,0, 1/9, 0.6, 1.0
b)
B 7/6, 0.9, 1/2, 3/8, -1/10, -0.7
c)
C -3.25, 1/8, 7/5, 0.5, 1/3, 5/6
d)
D 9/8, 7/6, -5/12, -1.1, -10/5, -3.6
105.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
106.
Which of these values is the GREATEST?
a)
63/7
b)
8.99
c)
450%
d)
-22
107.
Which set is in descending order?
a)
15% .45 9/10
b)
.45 15% 9/10
c)
9/10 15% .45
d)
9/10 .45 15%
108.
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)
109.
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
110.
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)
111.
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)
112.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
113.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
114.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
115.
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)
116.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
117.
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)
118.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
119.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
120.
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)
121.
The image A'B'C' is a rotation of ABC.
a)
True
b)
False
122.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
123.
When you reflect a shape, you ______ over an axis or line.
a)
Flip
b)
Rotate
c)
Slide
d)
Expand
124.
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
125.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
126.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
127.
Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional
128.
Alexis earns $12 an hour for babysitting her neighbors’ children. Is the following proportional or non-proportional.
a)
Proportional
b)
Non-proportional
129.
Jasmine buys an i-Pod Shuffle for $94. She then downloads songs for $0.88 each.
a)
Proportional
b)
Non-proportional
130.
You in California for vacation. You want to rent a motorbike. It will cost $30.00 for a deposit plus $45.00 per hour. Is the following proportional or non-proportional.
a)
Proportional
b)
Non-proportional
131.
You are preparing for prom and you want to take some friends with you so you decide to rent a Limo. The Limo rents for $60 per hour. Does the situation describe a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
132.
Jenny wants to download music. I-tunes offers music downloads for $0.99 per song. Does the equation describe a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
133.
Google offers music downloads for $0.49 per song after a $20.00 membership fee. Do the equations describe a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
134.
Jason plans to save for a video game he wants. Jason has already saved $20 and plans to mow lawns and make $10 per week. Does the equation represent a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
135.
A rainstorm produced a rainfall of 2 inches per hour. Does the equation describe a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
136.
The entrance fee for Mountain World theme park is $20. Visitors purchase additional $2 per rides, games, and food. Does the equation describe a proportional or non-proportional relationship?
a)
Proportional
b)
Non-proportional
137.
Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.
The video game rental fee is $15 plus $3 per day.
a)
Proportional
b)
Non-Proportional
138.
Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.
a)
Proportional
b)
Non-proportional
139.
REVIEW QUESTION
Which best describes the graph represented in this table?
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
140.
The values in the tables represent points on lines.
Does the table show a Proportional Relationship?
Does the table show a Proportional Relationship?
a)
Yes
b)
No
141.
The values in the tables represent points on lines.
Does the table show a Proportional Relationship?
Does the table show a Proportional Relationship?
a)
Yes
b)
No
142.
The values in the tables represent points on lines.
Does the table show a Proportional Relationship?
Does the table show a Proportional Relationship?
a)
Yes
b)
No
143.
Find the rate of change for the table of data.
a)
m = 3/2
b)
m = -3/2
c)
m = 2/3
d)
m = -2/3
144.
Find the rate of change for the table of data.
a)
m = 1
b)
m = 1/2
c)
m = -1
d)
m = -1/2
145.
Is this table proportional?
a)
Yes
b)
No
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