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Worksheets8 Finals Review
Total questions: 160
Worksheet time: 6hrs 10mins
Name
Class
Date
1.
To which real number set do the following real numbers belong?
a)
Irrational Numbers
b)
Natural Numbers
c)
Rational Numbers
d)
Integers
2.
We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?
a)
Irrational Numbers
b)
Rational Numbers
c)
Integers
d)
Natural Numbers
3.
Simplify the expression using exponents.
a)
818
b)
915
c)
98
d)
8115
4.
Using exponents, what is the simplified form of this expression?
a)
59
b)
15
c)
514
d)
55
5.
What is the value of 180?
a)
18
b)
0
c)
1
d)
-18
6.
How do you write the standard number 0.00095 in scientific notation?
a)
9.5 x 10-3
b)
9.5 x 10-5
c)
9.5 x 10-4
d)
9.5 x 10-6
7.
Write the standard number 6,267,000 in scientific notation.
a)
62.67 x 106
b)
6.267 x 106
c)
6.267 x 104
d)
6.267 x 107
8.
How do you write 8.7 x 10-1 in standard form?
a)
0.87
b)
8.7
c)
87
d)
0.087
9.
What is the best estimate for the following.
a)
9.3432...
b)
6.782...
c)
8.2326...
d)
10.7638...
10.
This is between which two integers?
a)
12 and 13
b)
13 and 14
c)
45 and 46
d)
91 and 92
11.
Order the following from greatest to least:
0.35, ⅜, 42%, ⅘, 0.2
0.35, ⅜, 42%, ⅘, 0.2
a)
⅘, 42%, ⅜, 0.35, 0.2
b)
⅜, 42%, ⅘, 0.2, 0.35
c)
⅘, 0.35, ⅜, 42%, 0.2
d)
0.2, 0.35, ⅜, 42% ⅘,
12.
Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2
-8x - 8 + 3x - 6 = -3x + 2
a)
x = -8
b)
x = 8
c)
x = 2
d)
x = -2
13.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
14.
6(5g+ 2)=30g
a)
g=2
b)
g=12
c)
all real numbers
d)
no solution
15.
Which is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019
a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
16.
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
17.
Divide:
(6.9 x 107) / (2.3 x 10-3)
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
18.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
19.
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)
20.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
21.
Simplify the following:
x2x3
x2x3
a)
x3
b)
x2
c)
x6
d)
X5
22.
Write the following as an exponent:
7x7x7x7x7
7x7x7x7x7
a)
75
b)
57
c)
77
d)
55
23.
WRITE AN EQUATION
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
24.
The area of a square is 117 square meters. Which best represents the length of a side of the square?
a)
10.8 m
b)
11 m
c)
10 m
d)
11.2 m
25.
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)
26.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
27.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
28.
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
29.
What is the measurement of y?
a)
100
b)
257
c)
103
30.
Solve for x
a)
20
b)
25
c)
120
d)
180
31.
What is the measurement of y?
a)
100
b)
257
c)
103
32.
Solve for x
a)
5
b)
90
c)
25
d)
10
33.
Solve for x
a)
6
b)
140
c)
20
d)
90
34.
Solve for angle 5
a)
50
b)
55
c)
45
d)
60
35.
Solve for angle 7
a)
60
b)
50
c)
125
d)
55
36.
Angles 5 and 6 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Obtuse
37.
Angles 4 and 6 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Acute
38.
Angles 1 and 2 are what type of angles?
a)
Supplementary
b)
Complementary
c)
Vertical
d)
Obtuse
39.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
40.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
41.
Which transformation changes the lengths of the sides of a polygon but retains the angle measurements?
a)
Rotation
b)
Translation
c)
Dilation
d)
Reflection
42.
The Triangle Sum Theorem states that the if you add all angles in a triangle you will get the magic number ______.
a)
45°
b)
90°
c)
180°
d)
360°
43.
Find the measure of each angle indicated.
a)
50°
b)
35°
c)
100°
d)
55°
44.
Solve for x.
a)
16
b)
11
c)
50
d)
6
45.
Solve for the missing angle with the question mark.
a)
A
b)
B
c)
C
d)
D
46.
Solve for x.
a)
5
b)
12
c)
-7
d)
-6
47.
Find the measure of the indicated angle.
a)
89
b)
211
c)
119
d)
81
48.
Flipping a figures is a ...
a)
Rotation
b)
Reflection
c)
Dilation
d)
Translation
49.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
50.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
51.
7-2
a)
49
b)
10/49
c)
-49
d)
1/49
52.
In which quadrant is the point (-2, -3) located?
a)
I
b)
II
c)
III
d)
IV
53.
Which axis is the horizontal axis?
a)
z-axis
b)
x-axis
c)
y-axis
d)
coordinate axis
54.
What is the first step in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
55.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
56.
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.
57.
What is the sequence of transformations?
a)
Reflect over the y then reflect over the x
b)
Reflect over the x then reflect over the y
c)
Translate 4 units then rotate 90˚
d)
Rotate 90˚ then reflect over the x
58.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
59.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
60.
Which number is an irrational number?
a)
2.5
b)
5.72314.....
c)
-17
d)
1/2
61.
A repeating decimal is what type of number?
a)
Rational
b)
Irrational
62.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
63.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
64.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
65.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
66.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
67.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
68.
Which expression represents the phrase?
The product of x and 3, increased by 4
The product of x and 3, increased by 4
a)
3(x + 4)
b)
x + 3 + 4
c)
4x + 3
d)
3x + 4
69.
Which expression represents the phrase?
5 less than 8 times x
5 less than 8 times x
a)
8(x – 5)
b)
8x – 5
c)
5x – 8
d)
8 – 5x
70.
Evaluate the expression x2 + 4 for x = 5.
a)
14
b)
11
c)
29
d)
25
71.
Find the equivalent simplified expression.
4(x + 6)
4(x + 6)
a)
4x + 24
b)
4x + 6
c)
x4 + 10
d)
x + 24
72.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
73.
Solve for v.
a)
60
b)
-3
c)
15
d)
3
74.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
75.
The vertical axis is the _____.
a)
X-axis
b)
Y-axis
c)
Origin
d)
Slope
76.
When you translate, (x+2,y) will move _____.
a)
2 units right
b)
2 units left
c)
2 units up
d)
2 units down
77.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
78.
Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?
a)
y = 25x + 10
b)
x = 25y + 10
c)
y = 10x +25
d)
x = 10y + 25
79.
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
c)
y = 25x
d)
y = 5y + 20
80.
How is the blue triangle rotated to the red triangle?
a)
90 clockwise
b)
90 counter-clockwise
c)
180 clockwise
81.
Identify the single transformation performed
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
82.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
83.
Solve for x.
a)
71
b)
-3
c)
35
d)
-19
84.
Carlos has a square tablecloth with a total area of 48 square feet. Which measurement is closest to the length of each side of the tablecloth in feet?
a)
9.8 ft
b)
5.0 ft
c)
12.0 ft
d)
6.9 ft
85.
Alonso estimated the distance across a river as √232 meters. What is the approximate distance across the river to the nearest thousandth?
a)
15.032
b)
15.232
c)
15.632
d)
15.832
86.
Michael is knitting a blanket. He can knit 6 rows per minute. Which rate is equivalent to the rate at which he is knitting?
a)
9 rows in 3 minutes
b)
32 rows in 4 minutes
c)
48 rows in 8 minutes
d)
60 rows in 12 minutes
87.
Translate the points two left and six up.
W (4, 8)
X (3, -2)
Y (6, 5)
W (4, 8)
X (3, -2)
Y (6, 5)
a)
W' (4, 19)
X' (4, 18)
Y' (4, 16)
X' (4, 18)
Y' (4, 16)
b)
W' (-4, -8)
X' (-2, -18)
Y' (5, 16)
X' (-2, -18)
Y' (5, 16)
c)
W' (5, 10)
X' (-3, 2)
Y' (-6, 5)
X' (-3, 2)
Y' (-6, 5)
d)
W' (2, 14)
X' (1,4)
Y' (4, 11)
X' (1,4)
Y' (4, 11)
88.
Marla has a garden with a length of 5 feet and a width of 3 feet. What is the area and perimeter of her garden?
a)
A = 8 square feet
P = 16 feet
P = 16 feet
b)
A = 15 square feet
P = 8 feet
P = 8 feet
c)
A= 15 square feet
P = 16 feet
P = 16 feet
d)
A = 16 square feet
P = 15 feet
P = 15 feet
89.
Choose the one that is rational.
a)
√5
b)
√81
c)
√140
d)
π
90.
Which of the following is not a perfect square?
a)
169
b)
49
c)
189
d)
225
91.
What is the length of one side of a square that has an area of 361 sq. in.?
a)
16 in.
b)
17 in.
c)
18 in.
d)
19 in.
92.
a)
A
b)
B
c)
C
d)
D
93.
a)
A
b)
B
c)
C
d)
D
94.
a)
-5√1
b)
8√2 + 13√3
c)
21√5
d)
20√5
95.
a)
13√3
b)
10√30
c)
13√6
d)
11√3
96.
Solve for x when x2 = 144
a)
4
b)
11
c)
12
d)
14
97.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
98.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
99.
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
100.
Express 0.87 as a percent.
a)
0.87%
b)
8.7%
c)
87%
d)
870%
101.
Express 40% as a fraction in simplest form.
a)
8/25
b)
4/5
c)
2/5
d)
2/25
102.
Express 0.08 as a percent.
a)
0.08%
b)
80%
c)
8%
d)
0.008%
103.
6.8% as a decimal is ______________.
a)
6.8
b)
680
c)
0.068
d)
0.68
104.
Convert 4/5 to a percent.
a)
45%
b)
4.5%
c)
80%
d)
8%
105.
Supplementary angles add up to...
a)
90 degrees
b)
180 degrees
c)
100 degrees
d)
360 degrees
106.
r + 1 + 6r = -20
a)
-3
b)
-5
c)
-10
d)
-16
107.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
108.
5√80
a)
20√5
b)
4√5
c)
5√20
d)
4√5
109.
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
110.
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
111.
What can an expression contain?
a)
Numbers only
b)
Variables only
c)
Operators only
d)
All of the above
112.
The number in front of a variable in a term.
a)
Coefficient
b)
Expression
113.
To solve a one-step equation, isolate the variable by using inverse, or opposite, operations.
a)
False
b)
True
114.
An expression will not have an ______ sign.
a)
addition
b)
subtraction
c)
equal
d)
division
115.
If dividing by a fraction, multiply by the ______?
a)
Numerator
b)
Denominator
c)
Reciprocal
d)
None of the above
116.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
117.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
118.
14 - 2 ( 3p + 1) = 6 ( 4 + p)
a)
No Solution
b)
One Solution
c)
Infinite Solutions
119.
8z - 22 = 3 ( 3z + 11) -z
a)
No Solution
b)
One Solution
c)
Infinite Solutions
120.
12 (x + 3 ) = 4 (2x + 9 ) +4x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
121.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
122.
How many solutions does this equation have? 3x + 2 = 4x + 6
a)
One Solution
b)
No Solution
c)
Infinite Solutions
123.
How many solutions does this equation have? 3x -20 = 3x + 2
a)
One Solution
b)
No Solution
c)
Infinite Solutions
124.
-7w + 4 = -3(w + 3) - 2(w + 1)
a)
No Solution
b)
One Solution
c)
Infinite Solution
125.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
126.
Three squares are joined at their vertices to form a right triangle. Find x, the side length of the square marked in the diagram.
a)
18 cm
b)
20 cm
c)
22 cm
d)
400 cm
127.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
128.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
129.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
130.
A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
131.
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
132.
Does the set of numbers represent a right triangle?
20, 25, 15
a)
Yes
b)
No
133.
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
134.
What is the height of the cone?
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
135.
if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?
a)
8.54 feet
b)
10.44 feet
c)
10 feet
d)
4.12 feet
136.
Which Pythagorean Triple does the picture illustrate?
a)
4, 5, 6
b)
2, 3, 4
c)
3, 4, 5
d)
1, 2, 3
137.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
138.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
139.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
140.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
141.
a)
Function
b)
Not a Function
142.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
143.
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}
144.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
145.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
146.
Level 1
y=x-6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
147.
Level 3 Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
148.
Level 3 Which table of values can be defined by y=2x+1?
a)
a
b)
b
c)
c
d)
d
149.
Level 1 Find the missing OUTPUT value.
a)
-2
b)
3
c)
9
d)
-7
150.
Level 3 Which table of values can be defined by y=x+5?
a)
a
b)
b
c)
c
151.
What test do you use to see if a graph is a function or non function?
a)
Vertical Line Test
b)
Horizontal Line Test
c)
Quizizz Test
d)
Graphing Test
152.
Match the description to the graph:
"The car is stopped."
a)
b)
c)
d)
153.
Match the description to the graph:
"The car is traveling at a constant speed."
a)
b)
c)
d)
154.
Match the description to the graph:
"The speed of the car is decreasing."
a)
b)
c)
d)
155.
Match the description to the graph:
"The car is coming back."
a)
b)
c)
d)
156.
a)
b)
c)
d)
157.
a)
b)
c)
d)
158.
The graph shows Ashley riding her bike to Maria's house.
What is occurring from point A to point B?
What is occurring from point A to point B?
a)
they are traveling at a constant speed
b)
they are decreasing in speed
c)
they stopped to take a break
159.
The graph shows Ashley riding her bike to Maria's house.
What was occurring from point B to point C?
What was occurring from point B to point C?
a)
She was increasing her speed.
b)
She stopped for 4 minutes
c)
She was decreasing in speed
160.
During what segments is the object returning to the reference point?
a)
A to B
b)
B to C
c)
C to D
d)
D to E
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