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CW 4.28.22

Total questions: 124

Worksheet time: 7hrs 26mins

Name
Class
Date
1.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
2.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
3.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
4.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
5.
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
6.
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
7.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
8.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
9.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
10.
How is triangle A rotated to be triangle Y?
a)
180 clockwise
b)
90 clockwise
c)
90 counter-clockwise
11.
A dilation with a scale factor of 1/3 is a reduction. 
a)
True 
b)
False
12.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
13.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
14.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
15.
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)
16.
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
17.
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
18.
Point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
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.
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)
21.
The rule for rotation of 90 degrees is  
(x, y) --> _
a)
(y, -x)
b)
(-y, x)
c)
(x, -y)
d)
(-x, y)
22.
The rule for rotation of 270 degrees is  
(x, y) --> _
a)
(y, x)
b)
(-y, x)
c)
(y, -x)
d)
(x, -y)
23.
What would the new point be if you rotated the point (4,9) 180°about the origin?
a)
a. (-9,4)
b)
b. (-4,-9)
c)
c. ( 9, -4) 
d)
d. (4,9)
24.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
25.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
26.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
27.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

28.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
29.
What is the scale factor of the dilation?
a)
2
b)
1/2
c)
-2
d)
1/2
30.
Does the size and shape of the original figure change when you transform it (using reflections, rotations, or translations)?
a)
yes, the size changes
b)
yes, the shape changes
c)
yes, the size and shape change
d)
no, the size and shape remain the same
31.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
32.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
33.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
34.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
8
35.
Which of the following letters does not have a line symmetry?
a)
H
b)
I
c)
Z
d)
X
36.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
a)
A
b)
B
c)
C
d)
D
41.
a)
A
b)
B
c)
C
d)
D
42.
a)
A
b)
B
c)
C
d)
D
43.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
44.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
45.

Write (–2)5( –2)3( –2) in exponential form.

a)

(2)8\left(-2\right)^8  

b)

(2)9\left(-2\right)^9  

c)

(2)15\left(-2\right)^{15}  

d)

282^8  

46.

Write in exponential form: (23)(23)(23)(23)(23)Write\ in\ \exp onential\ form:\ \left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)\left(-\frac{2}{3}\right)  

a)

(23)8\left(-\frac{2}{3}\right)^8  

b)

(23)7\left(-\frac{2}{3}\right)^7  

c)

(23)6\left(-\frac{2}{3}\right)^6  

d)

(23)5\left(-\frac{2}{3}\right)^5  

47.

What is the exponential form of (2ab2)(5ab3)(2ab2)(2ab2)(5ab3)(5ab3)?

a)

(2ab2)2 (5ab3)2\left(2ab^2\right)^2\ \left(5ab^3\right)^2  

b)

10a2b510a^2b^5  

c)

(2ab2)3(5ab3)3\left(2ab^2\right)^3\left(5ab^3\right)^3  

d)

10a3b510a^3b^5  

48.

Expand (–0.5)5.

a)

(0.5)(0.5)(0.5)(0.5)(0.5)\left(-0.5\right)\left(-0.5\right)\left(-0.5\right)\left(-0.5\right)\left(-0.5\right)  

b)

(0.5)(0.5)(0.5)(0.5)(0.5)\left(-0.5\right)\left(0.5\right)\left(-0.5\right)\left(0.5\right)\left(-0.5\right)  

c)

(0.5)(0.5)(0.5)(0.5)(0.5)\left(0.5\right)\left(0.5\right)\left(0.5\right)\left(0.5\right)\left(0.5\right)  

d)

(5)(5)(5)(5)(5)\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)\left(-5\right)  

49.

Write (25)4\left(\frac{2}{5}\right)^4  as repeated multiplication.

a)

(25)(35)(25)(35)\left(\frac{2}{5}\right)\left(\frac{3}{5}\right)\left(\frac{2}{5}\right)\left(\frac{3}{5}\right)  

b)

(23)(25)(23)(25)\left(\frac{2}{3}\right)\left(\frac{2}{5}\right)\left(\frac{2}{3}\right)\left(\frac{2}{5}\right)  

c)

(23)(23)(23)(23)\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)\left(\frac{2}{3}\right)  

d)

(25)(25)(25)(25)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)\left(\frac{2}{5}\right)  

50.

What is the exponential form of 216?

a)

23×322^3\times3^2  

b)

23×332^3\times3^3  

c)

22×332^2\times3^3  

d)

23×342^3\times3^4  

51.

Express 243 in exponential form.

a)

555^5  

b)

454^5  

c)

353^5  

d)

252^5  

52.

Identify the base(s) of 2a4b2c32a^4b^2c^3 .

a)

2,a, b, c

b)

a, b, c

c)

1, 4, 2, 3

d)

4, 2, 3

53.

Identify the powers of m5n2pq3m^5n^2pq^3 .

a)

m, n, p, q

b)

5, 2, 3

c)

5, 2, 1, 3

d)

10

54.

Write the exponential form of (-3)(-3)(3)(3)(-3)(3)(-3)(3)(3).

a)

(3)8\left(-3\right)^8  

b)

383^8  

c)

(3)9\left(-3\right)^9  

d)

393^9  

55.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
56.
Any number written to the 0 power is always 1
Example: 80=1
a)
True
b)
False
57.
54=
a)
20
b)
625
c)
1024
58.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
59.
In the exponent 34, the three represents____________ ?
a)
power
b)
base
c)
exponent
d)
integers
60.
25 is the same as 2 x 5.
a)
True
b)
False
61.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
62.
How would you represent 8⁶ ?
a)
8 x 6
b)
8 x 8 x 6
c)
8 x 8 x 8 x 8 x 8 x 8
d)
6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
63.

Which of the following is a PERFECT SQUARE



a)

121

b)

10

c)

150

d)

300

64.

Which of the following is NOT a PERFECT SQUARE

a)

25

b)

64

c)

149

d)

225

65.
simplify 5x3 2x2
a)
10x5
b)
3x
c)
10x6
d)
7x5
66.
35 ⋅ 37
a)
335
b)
312
c)
3-2
d)
32
67.
m ⋅ m⋅ m6
a)
m30
b)
m12
c)
12m
d)
mm11
68.
What is the exponent form for 
6?
a)
60
b)
61
69.
Which number is the BASE?
2= 8
a)
2
b)
3
c)
8
70.
Which number is the EXPONENT?
42 = 16
a)
4
b)
2
c)
16
71.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
72.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
73.
What is the exponent form for the factors
5 x 5 x 5?
a)
35
b)
53
74.
What are the factors for 54?
a)
5 x 5 x 5
b)
4 x 4 x 4 x 4 x 4
c)
5 x 5 x 5 x 5
75.
What is the exponential form of 
4 x 4 x 4 x 4 x 4 x 4
a)
64
b)
42
c)
46
d)
4 x 6
76.
Simplify the expression.
a)
1/y5
b)
1/y2
c)
y2
d)
y5
77.
Simplify.
a)
x7
b)
1/x3
c)
x3
d)
1/x7
78.
a)
8x4
b)
8x8
c)
6x4
d)
6x8
79.
Simplify.
a)
y5
b)
y15
c)
1/y2
d)
1/y5
80.

Simplify. Express using exponents.

a)

80

b)

81

c)

88

d)

86

81.

Simplify. Express using exponents.

a)

b7

b)

b8

c)

b10

d)

b17

82.

Simplify. Express using exponents.

a)

11m4n5

b)

16m4n6

c)

24m4n5

d)

24m4n6

83.

Simplify. Express using exponents.

a)

12x6y4

b)

12x10y6

c)

22x10y6

d)

12x6y6

84.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
85.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
86.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
87.
The Pythagorean Theorem is
a2 + b+ c2
a)
false
b)
true
88.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
89.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
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.
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)
42 miles
c)
37 miles
d)
40 miles
92.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
93.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
94.
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
95.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
96.
What is the diagonal length of the iPad?
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
97.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
98.
What is the longest side of a right triangle called?
a)
A. Leg A
b)
B. Leg B
c)
C. Hypotenuse
d)
D. Pythagorean Theorem
99.
A rectangular monitor’s size is measured diagonally from 1 corner to the opposite corner. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high, to the nearest centimeter?
a)
54 cm
b)
38 cm
c)
18 cm 
d)
7 cm
100.
If a triangle has a side a=5 and b=12, what is c?
a)
10
b)
17
c)
169
d)
13
101.
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
102.
a)
The diagonal is 15.59 cm
b)
The diagonal is 20.12 cm
c)
The diagonal is 21.43 cm
d)
The diagonal is 15.31 cm
103.
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)
30 + 402 = c2
b)
a + 402 = 302
c)
30 + b2 = 402
d)
40 + 302 = c2
104.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
105.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
106.
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
107.
Between which two whole numbers is the
√5?
a)
1 and 2
b)
2 and 3
c)
3 and 4
d)
4 and 5
108.
Order from least to greatest:
[10, -5, 3, 16, -1, 0, 1]
a)
-1, -5, 0, 1, 3, 10, 16
b)
16, 10, 3, 1, 0, -1, -5
c)
-5, -1, 0, 1, 3, 10, 16
d)
0, -1, 1, 3, -5, 10, 16
109.
List the following numbers from least to greatest:
-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
110.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
111.
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
112.
Which of these values is the LEAST?
a)
0
b)
-3
c)
65%
d)
1/2
113.
What is 37% as a decimal?
a)
37
b)
3.7
c)
.37
d)
.037
114.
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%
115.
If the exponent on your power of 10 is positive, is your number larger or smaller than 10?
a)
Larger
b)
Smaller
116.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
117.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
118.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
119.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
120.
Change from standard form to scientific notation: 0.004078
a)
4.078  x  10-3
b)
4.078  x  103
c)
40.78  x  10-4
d)
.4078  x  10-2
121.
125,678,000: Change to scientific notation
a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
122.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
123.
Try to change the number back to standard form: 3.97  x  10-2
a)
0.000397
b)
0.0397
c)
0.0000397
d)
0.397
124.
The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?
a)
1
b)
10
c)
100
d)
1,000