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WorksheetsFinals Review Math 2
Total questions: 131
Worksheet time: 5hrs 15mins
Name
Class
Date
1.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
2.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
3.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
4.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
5.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
6.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
7.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
8.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
9.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
10.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. The distance between the yacht and the top of the lighthouse is about 100 feet. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
45 feet
c)
110 feet
d)
135 feet
11.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
12.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
13.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
14.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
15.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
16.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
17.
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)
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.
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
20.
Point (7,2) is translated vertically 2 units and horizontally -5 units. Where is the new point located?
a)
(9,-3)
b)
(2,4)
c)
(2,0)
d)
12,4)
21.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
22.
Reflecting over the y-axis changes the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
23.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
24.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
25.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
26.
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
27.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
28.
Dilate Point A by a scale factor of 1/2
a)
(-4,-4)
b)
(-1,-4)
c)
(-1,-1)
d)
(-2,-2)
29.
Choose the correct scale factor if the red it the new image
a)
2.5
b)
1.5
c)
3.5
d)
4
30.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
31.
What is the GCF? 12x+8
a)
12
b)
8
c)
4
d)
x
32.
8r3 + 16r2
a)
4r2(2r + 4)
b)
8r2(r + 2)
c)
8(r3 + r2)
d)
4(r3 + 2r2)
33.
4x + 6
a)
4(x + 2)
b)
2(2x + 3)
c)
2(2x + 4)
d)
4(x + 2/3)
34.
w3 + 3w
a)
3w(1)
b)
w(w2 + 3)
c)
w3(w + 3)
35.
Factor Completely: 2k2-14k-60
a)
2(k-10)(k-3)
b)
Not Factorable
c)
(k-5)(k+9)
d)
2(k-10)(k+3)
36.
Factor Completely: x2-7x-8
a)
(x+1)(x-8)
b)
(x+1)(x+8)
c)
5(x+4)(x+5)
d)
(x-1)(x+8)
37.
Factor Completely: x4-9x2
a)
x2(x+3)(x-3)
b)
(x2+3x)(x2-3x)
c)
(x2+9)(x-3)(x+3)
d)
x2(x2-9)
38.
Factor Completely: 3x2+15x-72
a)
x(x+5)
b)
3(x+8)(x-3)
c)
(3x+24)(x-3)
d)
3(x-8)(x+3)
39.
Solve: x2-4x=21
a)
{-7, 3}
b)
{-3, 7}
c)
{3, 7}
d)
{-3,-7}
40.
#6: x2 + 6x - 7 = 0
a)
(x + 3)2 = 2
b)
(x - 3)2 = 2
c)
(x - 3)2 = 16
d)
(x + 3)2 = 16
41.
Complete the Square
x2 + 6x = 5
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
42.
Complete the square for
x2 + 12x + ____
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
43.
Complete the square.
x2 + 6x + ____
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
44.
What should be added to both sides of the following equation to complete the square?
x2 - 12x = 5
x2 - 12x = 5
a)
-12
b)
6
c)
36
d)
-5
45.
What is the vertex of the parabola?
a)
(-1,0)
b)
(0,-3)
c)
(1,-4)
d)
(3,0)
46.
Find the vertex of
f(x) = -x2 - 4x + 12
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
47.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
48.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
49.
Find the axis of symmetry of f(x)= -2x2-16x+3.
a)
x= 4
b)
x=-4
c)
y= 4
d)
y=-4
50.
Solve
a)
8
b)
38
c)
34
d)
14
51.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
52.
Solve and check your solution(s).
a)
x = 2, 3
b)
x = -2, -3
c)
x = -1, -6
d)
No solution
53.
Solve
a)
-9
b)
-2,3
c)
5
d)
0
54.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
55.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
56.
Solve for x
a)
11
b)
5
c)
8
d)
7
57.
Solve for x
a)
A
b)
B
c)
C
d)
D
58.
Change 5/8 into a decimal.
a)
1.6
b)
5.8
c)
.58
d)
.625
59.
Classify 17/10
a)
Whole
b)
Rational
c)
Natural
d)
None of the above
60.
-14 could NOT be which type of number?
a)
Integer
b)
Real
c)
Rational
d)
Natural
61.
The set of rational numbers includes all the following except...
a)
-42
b)
5/0
c)
0
d)
14.7
62.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational
c)
Irrational, Integer
d)
Irrational
63.
Classify 0
a)
Whole
b)
Integer
c)
Rational
d)
All of the above
64.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
65.
If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?
a)
f(x - 3)
b)
f(x + 3)
c)
f(x) + 3
d)
f(x) - 3
66.
The original graph is f(x). The new graph has been moved up 3 and to the right 4. The new graph is:
a)
f(x + 3) - 4
b)
f(x - 4) + 3
c)
f(x + 4) + 3
d)
f(x + 3) + 4
67.
If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?
a)
f(x + 2)
b)
f(x) + 2
c)
f(x - 2)
d)
f(x) - 2
68.
The original graph is f(x). The new graph has been reflected across the x axis. The equation for the new graph in f(x) notation is:
a)
-f(x)
b)
f(-x)
69.
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
y = f(x) - 5
a)
The graph of y = f(x) was shifted to the right 5 units.
b)
The graph of y = f(x) was shifted to the left 5 units.
c)
The graph of y = f(x) was shifted up 5 units.
d)
The graph of y = f(x) was shifted down 5 units.
70.
Describe the transformation FROM dotted TO solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
71.
The blue is f(x)=|x|, red must be ____?
a)
g(x) =|x+2|
b)
g(x) =|x|+2
c)
g(x) =|x-2|
d)
g(x) =|x|-2
72.
Solve for v
a)
- 7/6
b)
- 9/5
c)
9/5
d)
-3
73.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
74.
Solve for n
a)
1/2, - 13/4
b)
- 2, 3
c)
1/2, - 1/3
d)
- 2, - 13/4
75.
Solve for x
a)
11
b)
5
c)
8
d)
7
76.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?
a)
1s + 3c = 38
2s + 3c = 52
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
3s + 2c = 52
c)
s + c = 38
s + c = 52
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
1s + 2c = 52
77.
At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?
a)
t + n = 54
t = 3n + 8
t = 3n + 8
b)
t + n = 54
n = 3t + 8
n = 3t + 8
c)
t + n = 54
t = 3n - 8
t = 3n - 8
d)
t + n = 8
t = 3n + 54
t = 3n + 54
78.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
79.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
80.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
81.
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
82.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
83.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
84.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
85.
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
86.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
87.
Solve for x.
a)
-11
b)
-12
c)
-6
d)
11
88.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
89.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
90.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Vertical Angles
d)
Supplementary
91.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
92.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
93.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
94.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
95.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
96.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
97.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
98.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
7°
b)
17°
c)
83°
d)
97°
99.
a)
60°
b)
120°
c)
90°
d)
180°
100.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
101.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Correpsonding
d)
Vertical Angles
102.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
103.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
104.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
105.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
106.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
107.
The Triangle Sum Theorem deals with _______ of a triangle
a)
angles
b)
sides
108.
The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.
a)
greater than
b)
less than
c)
equal to
109.
The Triangle Inequality Theorem deals with _______ of a triangle
a)
angles
b)
sides
110.
Find the measure of each angle indicated.
a)
33°
b)
136°
c)
36°
d)
31°
111.
Find the measure of each angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
112.
Find the measure of each angle indicated.
a)
50°
b)
35°
c)
100°
d)
55°
113.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
114.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
115.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
116.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
117.
Does a triangle with these side lengths exist?
33, 16, 17
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
118.
Does a triangle with these side lengths exist?
8.5, 6.5, 13.5
8.5, 6.5, 13.5
a)
Yes
b)
No
c)
I don't know.
119.
The dotted segment is a picture of a ...
a)
midsegment
b)
meidan
c)
centriod
d)
midpoint
120.
If BF = 14, DE=?
a)
4.6
b)
7
c)
18
d)
14
121.
What is the value of x?
a)
36
b)
72
c)
108
d)
18
122.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
123.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
124.
a)
A
b)
B
c)
C
d)
D
125.
The Pythagorean Theorem is
c2 = a2 - b2
c2 = a2 - b2
a)
false
b)
true
126.
side a on a right triangle is NEVER the longest side
a)
true
b)
false
127.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
128.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
129.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
130.
The Pythagorean Theorem is
a2 + b3 = c4
a2 + b3 = c4
a)
false
b)
true
131.
The Pythagorean Theorem is
a2 + b2 + c2
a2 + b2 + c2
a)
false
b)
true
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