Worksheets1st Semester Study Guide
Total questions: 106
Worksheet time: 2hrs 12mins
Name
Class
Date
1.
What is 53?
a)
125
b)
625
c)
25
d)
15
2.
What is the Angle Relationship?
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
3.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
4.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
5.
What is the value of x?
a)
27
b)
72
c)
108
d)
153
6.
What is the value of x?
a)
68
b)
86
c)
94
d)
112
7.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
8.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical
9.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
10.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
11.
What is the angle relationship?
a)
adjacent
b)
Alternate Exterior
c)
Corresponding
d)
vertical
12.
What is the Angle Relationship
a)
Alternate Interior
b)
vertical
c)
Corresponding
d)
adjacent
13.
Nicolas places his 30 foot ladder against a house he is painting. If the foot of the ladder is 8 feet from the base of the house, how high above the ground is the top of the ladder touching the house? Round to the nearest tenth.
a)
22.0 ft
b)
27.8 ft
c)
28.9 ft
d)
31.0 ft
14.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
15.
What is .0002 in scientific notation?
a)
2.0 x 10-2
b)
2.0 x 10-3
c)
2.0 x 10-4
d)
2.0 x 10-5
16.
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
17.
Solve.
3 - 5x = -9 + x
3 - 5x = -9 + x
a)
4
b)
3
c)
2
d)
1
18.
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
19.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
20.
What is the value of 82 subtracted from 12?
a)
-52
b)
-4
c)
4
d)
52
21.
If you rotate the point (4,5) 180 degrees, what would be the new ordered pair?
a)
(5, 4)
b)
(-5, 4)
c)
(5, -4)
d)
(-4, -5)
22.
Does the image show a dilation?
a)
Yes
b)
No
23.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
24.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
25.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
26.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
27.
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
28.
What is the value of ∛27 +√64
a)
41
b)
11
c)
13
29.
How would you write 564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 106
c)
5.64 x 108
d)
56.4 x 107
30.
What is .0002 in scientific notation?
a)
2.0 x 10-2
b)
2.0 x 10-3
c)
2.0 x 10-4
d)
2.0 x 10-5
31.
What is the length of x?
a)
5
b)
7
c)
8
d)
25
32.
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
33.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
34.
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)
35.
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
36.
Identify the transformation from ABC to A'B'C'.
a)
Translation
b)
90o clockwise rotation
c)
90o counterclockwise rotation
d)
Reflection across the x-axis
37.
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
38.
Identify the transformation from ABCD to A'B'C'D'.
a)
90o rotation
b)
Translation
c)
Reflection across the x-axis
d)
Reflection across the y-axis
39.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
40.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Transformation
41.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
42.
What does a translation do to a figure on the coordinate plane?
a)
Rotates it
b)
Flips it
c)
Shrinks it
d)
Slides it
43.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
44.
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)
45.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
46.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
47.
2305684 converted to scientific notation is ______.
a)
2.305684 x 106
b)
2.305684 x 10-6
c)
0.2305684 x 107
d)
0.2305684 x 10-7
48.
Solve.
-38 + 6x = 52 + 3x
-38 + 6x = 52 + 3x
a)
20
b)
30
c)
40
d)
10
49.
Solve for x:
5x - 14 = 8x + 4
5x - 14 = 8x + 4
a)
x = 6
b)
x = -6
c)
x = -18/13
d)
x = 10/3
50.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
51.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
52.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
53.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
54.
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
55.
A transformation that “turns” a figure about a fixed point at a given angle and a given direction.
a)
rotation
b)
translation
c)
reflection
d)
dilation
56.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
57.
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)
58.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
59.
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)
60.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
61.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
62.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
63.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
64.
0.0000713 converted to scientific notation is ______.
a)
7.13 x 10-5
b)
7.13 x 105
c)
7.13 x 10-4
d)
7.13 x 104
65.
2305684 converted to scientific notation is ______.
a)
2.305684 x 106
b)
2.305684 x 10-6
c)
0.2305684 x 107
d)
0.2305684 x 10-7
66.
The sum of the angles of a triangle is equal to
a)
180 degrees
b)
120 degrees
c)
360 degrees
d)
90 degrees
67.
When you multiply powers, what do you do to the exponents?
a)
Divide
b)
Multiply
c)
Add
d)
Woosh it
68.
Two angles whose sum measures 180 degrees is called
a)
supplementary
b)
complementary
c)
right angles
d)
congruent
69.
A transformation in which a figure is turned around a point is called a
a)
reflection
b)
translation
c)
rotation
d)
dilation
70.
When you divide powers, you _____________ the exponents.
a)
multiply
b)
add
c)
subtract
d)
divide
71.
The distance around a figure is the
a)
volume
b)
perimeter
c)
area
d)
surface area
72.
A transformation that flips a figure across a line is called a
a)
reflection
b)
translation
c)
rotation
d)
dilation
73.
How many quadrants are on a graph?
a)
1
b)
2
c)
3
d)
4
74.
Subtract the numbers in scientific notation.
(2 x 10³) - (1.9 x 10²)
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
75.
Add the numbers in scientific notation
(5.2 x 10⁷) + (3.01 x 10⁴)
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
76.
Subtract the numers in scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)
(7.32 x 10⁶) - (4.01 x 10⁸)
a)
-3.937 x 10⁸
b)
3.937 x 10⁸
c)
3.937 x 10⁷
d)
3.937 x ⁻²
77.
Add the numbers in scientific notation
(6.2 x 10²) + (9.7 x 10⁰)
(6.2 x 10²) + (9.7 x 10⁰)
a)
.6297 x 10²
b)
6.297 x 10⁰
c)
6.297 x 10³
d)
6.297 x 10²
78.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
79.
Solve for x, given that m || n.
a)
20
b)
60
c)
80
d)
120
80.
Find the value of t
a)
-1
b)
5
c)
5.14
d)
7
81.
Solve for the missing angle with the question mark.
a)
A
b)
B
c)
C
d)
D
82.
Solve for the missing angle with the question mark.
a)
A
b)
B
c)
C
d)
D
83.
√576
a)
25
b)
21
c)
23
d)
24
84.
√529
a)
22
b)
23
c)
24
d)
21
85.
√625
a)
21
b)
25
c)
23
d)
24
86.
√169
a)
8
b)
12
c)
13
d)
16
87.
√196
a)
13
b)
14
c)
9
d)
16
88.
172
a)
172
b)
289
c)
34
d)
340
89.
182
a)
36
b)
360
c)
20
d)
324
90.
202
a)
400
b)
40
c)
4000
d)
20
91.
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
92.
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
93.
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
94.
Solve:
(2.1×102) × (3.0×104)
(2.1×102) × (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
95.
Solve:
(9 x 10-6) / (3 x 10-3)
(9 x 10-6) / (3 x 10-3)
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
96.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
97.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
98.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
99.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
100.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
101.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
102.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
103.
x⁵⁄x³
a)
x²
b)
x
c)
1
d)
x⁸
104.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
105.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
106.
-14x7/7x
a)
-2x6
b)
-2x
c)
-2x5
d)
-2x8
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