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Final Exam Review

Total questions: 157

Worksheet time: 6hrs 32mins

Name
Class
Date
1.
a)
Function
b)
Not a Function
2.
a)
Function
b)
Not a Function
3.
a)
Function
b)
Not a Function
4.
What is the solution to this system of equations?
a)
(4, -1)
b)
(-1, 4)
c)
(-4, 1)
d)
(-4, -1)
5.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
6.
**
a)
11
b)
-5
c)
6
d)
-6
7.
**
a)
-4
b)
4
c)
2
d)
-6
8.
**
a)
8
b)
-7
c)
-8
d)
4
9.
How was B translated to B' if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
10.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
11.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
12.
x8 / x2
a)
x4
b)
x16
c)
x-6
d)
x6
13.
(x5)(x8)
a)
x13
b)
x-3
c)
x40
d)
x58
14.
How do you graph the equation
y=-3x +15?
a)
Plot the point (15,0). Then go down 3 right 1 to plot the next point.
b)
Plot the point (0,15). Then go down 3 right 1 to plot the next point.
c)
Plot the point (0,15). Then go down 3 left 1 to plot the next point.
d)
Plot the point (15,0). Then go down 1 right 3 to plot the next point.
15.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
16.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
17.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
18.
Which of these statements about geometric figures is always true?
a)
All right triangles are similar.
b)
If two triangles are congruent, then they have equal areas.
c)
All triangles with equal areas are congruent.
d)
If two triangles are similar, then they have equal areas.
19.
What is the value of the expression?
a)
-67
b)
-48
c)
24
d)
32
20.
a)
between minute 0 and minute 3 of the ride
b)
between minute 3 and minute 4 of the ride
c)
between minute 4 and minute 7 of the ride
d)
between minute 7 and minute 9 of the ride
21.
a)

5.7 ft

b)

4.5 ft

c)

3.5 ft

d)

2.4 ft

22.
Barb purchased a loaf of bread for $2 and p pounds of sliced ham at $5 per pound for a total of $13.25. The relationship between what she purchased and her total purchase price is represented by the equation below.
  5p + 2 = 13.25
What was the total number of pounds of ham that Barb purchased?
a)
2.25 pounds
b)
2.65 pounds
c)
3.05 pounds
d)
4.65 pounds
23.
In a coordinate plane, triangle ABC has vertices A (1,1), B (1, 5), and C (5,1).  Triangle ABC is reflected across the x-axis, resulting in a triangle A’B’C’.  What are the coordinates of point B’?

a)
(-5, 1)
b)
(-1, 5)
c)
(1, -5)
d)
(5, 1)
24.
a)
10
b)
9
c)
8
d)
4
25.
a)
The slope of line m is greater that the slope of line n.
b)
The slope of line n is greater than the slope of line m.
c)
The x-intercept of line m is greater than the x-intercept of line n.
d)
The y-intercept of line n is greater than the y-intercept of line m.
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
A
b)
B
c)
C
d)
D
28.
The students in an eighth-grade class had a dance. They spent $500 for a local band. The equation below can be used to find the total profit, y, if the students sold x tickets to the dance. 
  y = 4x – 500

What does the 4 represent in the equation?
a)
the price per ticket
b)
the cost of the band
c)
the number of tickets sold
d)
the profit made from selling x tickets
29.
The volume of a cube is 64 cubic inches. What is the length of one edge of the cube?
a)
4 inches
b)
8 inches
c)
21 inches
d)
32 inches
30.
A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? 
a)
113 cubic cm
b)
19 cubic cm
c)
14 cubic cm
d)
2 cubic cm
31.
a)
28 degrees
b)
56 degrees
c)
124 degrees
d)
134 degrees
32.
a)
A reflection across the x-axis, followed by a translation 2 units to the left
b)
A reflection across the x-axis, followed by a translation 3 units to the right
c)
A rotation 180o clockwise about the origin followed by a translation 2 units to the left
d)
A rotation 180o clockwise about the origin followed by a translation 3 units to the right
33.
a)
45 degrees
b)
120 degrees
c)
135 degrees
d)
150 degrees
34.
a)
2x - y = -3
b)
-2x - 2y = 6
c)
-2y = -2x - 6
d)
-y = -x - 3
35.
A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of approximately 1,005 cubic feet. What is the diameter, in feet, of the water tank?
a)
16
b)
10
c)
8
d)
4
36.
Jeff completed a hiking trail in t hours. Michelle completed the trail in half the time it took Jeff to complete it. Which of the following expressions represents the time it took Michelle to complete the hiking trail?
a)
2t
b)
t - 2
c)
2 ÷ t
d)
t ÷ 2
37.
Which of the following equations has infinitely many solutions?
a)
2x + 3 = 5 + 2x
b)
2x + 3 = 5 + 3x
c)
3x – 5 = -5 + 2x
d)
3x – 5 = -5 + 3x
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
182
b)
√18
c)
452
d)
√45
40.
A lab has two bacteria cultures. Culture A contains
8 ×104 bacteria, and Culture B contains 4 ×106 bacteria.
How do the two cultures compare in size?
a)
Culture A contains twice as many bacteria as culture B.
b)
Culture A contains 1/5 as many bacteria as culture B.
c)
Culture A contains 1/25 as many bacteria as culture B.
d)
Culture A contains 1/50 as many bacteria as culture B.
41.
Which number is irrational?
a)
√10
b)
-√81
c)
5∕4
d)
9.12
42.
The volume of a cone is 90in3, what is the volume of a cylinder that has the same base area and height?
a)
30in3
b)
45in3
c)
180in3
d)
270in3
43.
The legs of a right triangle are 12 and 17 feet long.  Approximately how long is the hypotenuse?
a)
433 feet
b)
21 feet
c)
20 feet
d)
216.5 feet
44.
Which of the following correctly identifies the expanded version of 2x4?
a)
2 · 2 · 2 · 2 · x· x· x· x         
b)
2 · x · x · x · x
c)
2x · 2x · 2x · 2x
d)
8· x· x· x· x
45.
ΔABC has the following coordinates:
A (0, 0), B (3, 0), C (0, 4).
If this triangle were rotated 270° counterclockwise around the origin, what is the coordinate of B’? 
a)
(-3, 0)
b)
(0, 3)
c)
(0, -3)
d)
(3, 0)
46.
Solve:
0.2(d - 6) = 0.3d + 5 - 3 + 0.1d
a)
d = 16
b)
d = -16
c)
no solution
d)
d= -18
47.
The square root of 16 is....
a)
8
b)
4
c)
2
d)
3
48.
0.8 is a rational number
a)
True
b)
False
49.
65
a)
Is a perfect square.
b)
Is not a perfect square.
50.
7 + (12-3)2
a)
256
b)
88
c)
10
d)
13
51.
18 + (6 – 2) × 2
a)
26
b)
29
c)
44
d)
40
52.
4(f + 1) = 2f + 12
a)
f = 4
b)
f = -4
c)
f = 8
d)
f = 12
53.
12 (x + 3 ) = 4 (2x + 9 ) +4x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
54.
Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x
a)
one solution
b)
infinitely many
c)
no solution
55.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
56.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
57.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
58.
(-8x-2y3) ∕ (-2x-4y)
a)
4x2y2
b)
4x6y2
c)
4x2y4
d)
-6xy2
59.
Write
8.317 x 106
in standard form.
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
60.
Which of the following is written in correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
61.
Which of the following expressions has the smallest value.
a)
4⋅100
b)
4.1 ⋅ 10-2
c)
√16
d)
4.01 ⋅103
62.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
63.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
64.
7x and (8x + 30) are two angles that are supplementary. What do the angles measure? 
a)
70°,110°
b)
80°,100°
c)
40°, 50°
d)
35°, 145°
65.
A square garden has an area of 49 square feet.  What is the side length of the garden?
a)
5.5 feet
b)
8 feet
c)
7 feet
d)
6.5 feet
66.
What is the slope of the following equation.
2y = 4x + 6
a)
4
b)
6
c)
2
d)
3
67.
Which of the following equations has the greatest slope?
a)
y = 3x + 9
b)
9x + 3y = 27
c)
y = 1/3x - 2
d)
y = 3.1x + 10
68.
Use the graph to name the slope and y-intercept. 
a)
m =3 ; b = 4
b)
m = 1/3 ; b = 10
c)
m = -3 ; b = 1/3
d)
m = -1/3 ; b = 4
69.
It costs $25 to rent a car each day and $0.95 per mile. 
Which expression represents the cost of the rental for one day?
a)
.95x + 25
b)
.95 + x + 25
c)
.95 + 25x
70.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
71.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
72.
Write the equation -8x + 2y = 10 in slope-intercept form.
a)
It is in slope-intercept form.
b)
2y = 8x + 10
c)
y = 8x + 10
d)
y = 4x + 5
73.
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
74.
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.
75.
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°
76.
How are these angles related?
a)
Vertrical
b)
Complementary 
c)
Adjacent
d)
Supplementary 
77.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
78.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
79.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
80.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
beans
c)
nothing
d)
slope
81.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
82.
Determine the slope and y-intercept from the following equation:   2y = 3x + 6
a)
m: 2/3   b:  (0,3) 
b)
m: 3/2   b:  (0,3) 
c)
m:  4  b:  (0,3/2)
d)
m: 1/5   b:  (0,5) 
83.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
84.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
85.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
86.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
87.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
88.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
89.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
90.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
91.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
92.
Find C 
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
93.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
94.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
95.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
96.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
97.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
98.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
99.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
100.
Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches
a)
Yes
b)
No
101.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
102.
Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 
a)
Yes
b)
No
103.
Does a triangle with these side lengths exist?
20, 10, 9
a)
Yes
b)
No
c)
I don't know.
104.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
105.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
106.
What is the slope of the line perpendicular to y=(-5/2)x+7
a)
-5/2
b)
5/2
c)
-2/5
d)
2/5
107.
Congruent plane figures are figures that have exactly the same size and shape.
a)
true
b)
false
108.
Find the value of x:
a)
58.3
b)
1.7
c)
21
d)
18
109.
The hypotenuse of a triangle is...
a)
Invisible
b)
A myth
c)
The side opposite the right angle in a right triangle
110.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
111.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
112.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
113.
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
114.
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
115.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

116.
C(-6, 2) and B(-1, -1)
Rotate 90 degrees counterclockwise.
a)
C' (-6, 2), B' (-1, -1)
b)
C' (6, 2), B' (1, -1)
c)
C' (2, -6), B' (-1, -1)
d)
C' (-2, -6), B' (1, -1)
117.
What is the scale factor used to dilate the image from triangle ABC to triangle A'B'C'?
a)
2
b)
3
c)
1/2
d)
1/3
118.
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.
119.
What is the sequence of transformations for the image given? 
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
120.
Rotating a pre-image _____degrees will place it back to its original position.
a)
180
b)
90
c)
270
d)
360
121.
Which number is missing in the table?
a)
30
b)
32
c)
36
d)
40
122.
Johanna can jog 3,000 feet in 6 minutes.  If she jogs at the same rate, how many feet can she jog in 8 minutes? 
a)
4,000 ft
b)
4,800 ft
c)
5, 600 ft
d)
6,400 ft 
123.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
124.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
125.
Sides that are in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
126.
All corresponding angles in similar figures are congruent.  
a)
True
b)
False
127.
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)
128.
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)
129.
How do you write the algebraic notation when the scale factor is 3?
a)
(x, y) goes to (1/3x, 1/3y)
b)
(x, y) goes to (-3x, -3y)
c)
(x, y) goes to (x + 3, y + 3)
d)
(x, y) goes to (3x, 3y)
130.
Simplify the expression: 7+3(1 - 2x) 
a)
-20x - 10
b)
-20x + 10
c)
6x + 10
d)
-6x + 10
131.
Simplify:
2x - 5x + 6x + 7 + 14
a)
3x + 21
b)
3x + 22
c)
-3x + 21
d)
-3y + 22
132.
-2(x + 3) - 5 = 11
a)
x = - 11
b)
x = 2
c)
x = 11
d)
x = -2
133.
2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
134.

What is the first step to complete when solving this equation?

10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

135.
−4x − 4y = 0
4x + 4y = 0 
a)
(−6, −4) 
b)
Infinite number of solutions  
c)
(−6, 10) 
d)
(6, 4) 
136.
-6x+5y=1
6x+4y=-10
a)
(1,-1)
b)
(0,-1)
c)
(1,1)
d)
(-1,-1)
137.
x-y=11
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
138.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
139.
This system has _____ solutions
a)
no
b)
1
c)
2
d)
Infinitely many
140.
What is the solution?
(Hint:  Both lines are graphed over each other)
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
141.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
142.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
143.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
144.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
145.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
146.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
147.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
148.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
149.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
150.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
151.
Give the y-intercept
3x + y = 5
a)
-3
b)
(0,5)
c)
-5
d)
(0, -3)
152.
Given that the slope is  2/3 and the y intercept is -3 what is the equation of the line?
a)
y = 2/3x - 3
b)
y = 2/3x + 3
c)
y = -2/3x - 3
d)
y = -2/3x + 3
153.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
154.
Which graph represents x=2?
a)
A
b)
B
c)
C
d)
D
155.
A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.
a)
y = 625x + 225
b)
y = 225x 
c)
y = 225x + 625
d)
y =  625
156.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
157.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15