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WorksheetsMOY BM Review
Total questions: 112
Worksheet time: 7hrs 35mins
Name
Class
Date
1.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
2.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
3.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
4.
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
5.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9
c)
y = x + 3
d)
y = 12x - 3
6.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
7.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
8.
Who weighed more at the beginning of the show?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They weighed the same
9.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
10.
Which company pays the most per pizza?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's
11.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
12.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
13.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
14.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
15.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the rate of change of the graph?
What is the rate of change of the graph?
a)
64
b)
128
c)
32
d)
16
16.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
17.
The graph shows the growth of a tree over time. Is the data represented proportional?
a)
Yes
b)
No
18.
What is the slope?
a)
1/2
b)
-1/2
c)
2
d)
-2
19.
Is this graph proportional?
a)
Yes
b)
No
20.
What is the equation of the line?
a)
y=1/2x
b)
y=0
c)
y=2x
d)
y= - 2x
21.
What is the equation of the line?
a)
y = 3x
b)
y = 3/2x + 2
c)
y = -3/2x + 2
d)
y = 3/2x - 3
22.
Graph
y = -3/2x - 2
y = -3/2x - 2
a)
A
b)
B
c)
C
d)
D
23.
Graph
y = 3/2x + 3
y = 3/2x + 3
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
a)
F
b)
G
c)
H
d)
J
26.
a)
F
b)
G
c)
H
d)
J
27.
a)
A
b)
B
c)
C
d)
D
28.
a)
A
b)
B
c)
C
d)
D
29.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
30.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
31.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
32.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
33.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
34.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
35.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
36.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
37.
Simplify the following expression:
xy-7
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
38.
What is [ (12x3y5z7)/ (144x-4 y7z-3)]0
a)
12(x7z10)
b)
(x7z10)/12y2
c)
1
d)
(x7y-2z10)/12
39.
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:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
40.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
41.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
42.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
43.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
44.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
45.
Which answer is an algebraic representation of the function "The difference of twice the square of a number and 1"?
a)
2x2-1
b)
2x-1
c)
(2x-1)2
d)
4x-1
46.
What is the domain and the range for the graph?
a)
Domain : -2 ≤ x ≤ 2
Range : 0 ≤ y ≤ 4
Range : 0 ≤ y ≤ 4
b)
Domain : 0 ≤ x ≤ 4
Range : -2 ≤ y ≤ 2
Range : -2 ≤ y ≤ 2
c)
Domain : All real #s
Range : y ≤ 4
Range : y ≤ 4
d)
Domain : -2 ≤ x ≤ 2
Range : y ≤ 4
Range : y ≤ 4
47.
Factor this: 6x2-15x+24
a)
(3x+8)(2x+3)
b)
(2x-6)(3x+4)
c)
6(x2-2x+4)
d)
3(2x2-5x+8)
48.
Is this factorable? 4x2-9
a)
Yes
b)
No
49.
Which of the following is a factor? 4x2-9x
a)
(2x-3)
b)
(2x+3)
c)
(4x-9)
d)
3
50.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
51.
Which equation matches these solutions? x=5,-7
a)
(x+5)(x-7)=0
b)
(x-5)(x+7)=0
c)
(x+5)(x+7)=0
d)
(x-5)(x-7)=0
52.
Solve 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
53.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
54.
4x2 + 12x + 9
a)
(2x + 3)2
b)
(2x - 3)2
c)
(4x - 3)(x + 3)
d)
(4x - 1)(x + 9)
55.
8x2 - 6x - 27
a)
(4x + 9)(2x - 3)
b)
(4x - 27)(2x + 1)
c)
(2x - 9)(4x + 3)
d)
(4x - 9)(2x + 3)
56.
x2 - 64
a)
(x + 8)(x - 8)
b)
(x - 8)2
c)
(x + 16)(x - 4)
d)
(x - 16)(x + 4)
57.
10x2 - 17x + 3
a)
(5x - 1)(2x - 3)
b)
(5x + 3)(2x + 1)
c)
(2x + 3)(5x + 1)
d)
(2x + 3)(5x - 1)
58.
Write an equation in vertex form for this parabola.
a)
y = 2(x - 1) + 1
b)
y = 1(x + 1) - 2
c)
y = 1(x - 1) - 2
d)
y = 2(x + 1) - 1
59.
Write an equation in vertex form for this parabola.
a)
y = 2(x - 5) + 3
b)
y = 3(x + 3) - 5
c)
y = 2(x - 3) + 5
d)
y = 3(x - 5) + 3
60.
5x2 + 4x - 12
a)
(5x + 3)(x - 4)
b)
(5x + 6)(x - 2)
c)
(5x - 3)(x + 4)
d)
(5x - 6)(x + 2)
61.
The length of a rectangle is 6 meters more than the width. The area is 72 square meters. Find the length and width.
a)
Length = 6, Width = 12
b)
Length = 18, Width = 4
c)
Length = 12, Width = 6
d)
Length = 4, Width = 6
62.
A movie screen has an area of 143 square feet. The length of the screen is 2 feet more than the width. What is the length of the screen?
a)
10
b)
11
c)
12
d)
13
63.
Given the following rectangle, with area indicated, determine the value of x.
*You must be able to show how to factor and solve this.
*You must be able to show how to factor and solve this.
a)
-15/2 feet
b)
6 feet
c)
7.5 feet
d)
8 feet
64.
Factor completely
2c2 + 4c - 84
2c2 + 4c - 84
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
65.
The shape of the graph of a quadratic equation is known as
a)
a line
b)
a U
c)
a parabola
d)
a vertex
66.
(x - 4)(x - 6)
a)
x2 -10x + 24
b)
x2 - 10x - 24
c)
x2 +10x + 24
d)
x2 + 10x - 24
67.
What is the quotient when (10n2 - 37n - 12) is divided by (n - 4)?
a)
(10n - 3)
b)
(3n - 10)
c)
(10n + 3)
d)
(3n + 10)
68.
Factor completely:
2x2 + 18x + 28
2x2 + 18x + 28
a)
2(x+7)(x+2)
b)
2(x-7)(x-2)
c)
(x+7)(x+2)
d)
(x-7)(x-2)
69.
The function f(t) = -5t2+20t+60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
a)
4 seconds
b)
-2 seconds
c)
6 seconds
d)
9 seconds
70.
If the graph of a quadratic does not intercept the x axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
71.
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)
72.
What's the axis of symmetry of y=3x2-6x+4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
73.
Determine the roots of the equation for this general equation.
y = x2+16x+64
y = x2+16x+64
a)
(-8, 0) and (-8, 0)
b)
(-16, 0) and (-64, 0)
c)
(-4, 0) and (-32, 0)
d)
(8, 0) and (8, 0)
74.
Given: y = 2(x - 5) + 6, the vertex is
a)
(2,-5)
b)
(-5,6)
c)
(2,6)
d)
(5,6)
75.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
76.
15f) Determine the line of symmetry. y = x2+16x+64
a)
x=4
b)
x=2
c)
x=-8
d)
x=64
77.
Solve by factoring.
-4y2 + 24y - 36 = 0
-4y2 + 24y - 36 = 0
a)
-3
b)
7/2
c)
4
d)
3
78.
#2) The area of a playground is 504 square yards. The length of the playground is (x +8) and the width is (x – 2). Find the length and width.
a)
20
b)
-26 and 20
c)
18 and 28
d)
14 and 36
79.
#9) A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
80.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
81.
If a system of equations has no solution, what does the graph look like?
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
82.
There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?
a)
d + c = 174
4d + 2c = 50
4d + 2c = 50
b)
d + c = 50
4d + 2c = 174
4d + 2c = 174
c)
d + c = 50
2d + 4c = 174
2d + 4c = 174
d)
d + c = 174
2d + 4c = 50
2d + 4c = 50
83.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
84.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
85.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
86.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
87.
Solve using substitution.
x - 2y = 2
3x + 4y = 3
x - 2y = 2
3x + 4y = 3
a)
(1.4, -0.3)
b)
(3.1, 5)
c)
(-2.5, 3.5)
d)
(6.9, 1.02)
88.
Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19
3x + 2y = 16
y = -7x + 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
89.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
y = -x + 5
y = 2x - 7
a)
yes
b)
no
90.
Solve the equation.
2a + 20 - 4a = 10
2a + 20 - 4a = 10
a)
a = -5
b)
a = 5
c)
a = 10
d)
a = 20
91.
Solve the equation.
14 − 4(2k + 4) = -2(4 − 3k)
14 − 4(2k + 4) = -2(4 − 3k)
a)
k = -3⁄7
b)
k = 3⁄7
c)
k = 5⁄7
d)
k = 7⁄3
92.
a)
A
b)
B
c)
C
d)
D
93.
a)
A
b)
B
c)
C
d)
D
94.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
95.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
96.
Find the first term of the given sequence:
a14=68
d=3
a14=68
d=3
a)
14
b)
20
c)
26
d)
29
97.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
98.
Find the 32nd term of this sequence.
34, 37, 40, 43, ...
34, 37, 40, 43, ...
a)
32
b)
64
c)
127
d)
356
99.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
25, 21, 17, 13,...
Write the explicit equation that models the sequence. (Hint: Simplify your equation.)
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
100.
The next two terms of the sequence 4,7,10,13 are ....
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
101.
find f(0) if f(x) = -3x2 + 5x + 1
a)
1
b)
-2
c)
3
d)
5
102.
find f(-2) if f(x) = (x-3)2
a)
-25
b)
25
c)
1
d)
-1
103.
Find f(2) if f(x) = 2x2- 5x
a)
6
b)
-6
c)
-2
d)
2
104.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
105.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
106.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
107.
-3(x - 4)
a)
-3x - 12
b)
3x - 12
c)
3x + 12
d)
-3x + 12
108.
(x-3)2
a)
x2-6x+9
b)
x2 - 9
c)
x2 + 9
d)
x2
109.
(2x + 1)(x - 3)
a)
-3x - 3
b)
2x2 + 5x - 3
c)
2x2 - 5x - 3
d)
2x2 - 5x +3
110.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4
b)
2x3 + 11x2 + 14x + 3
c)
-2x3 - 11x2 + 14x + 5
d)
x3 - 11x2 + 14x + 3
111.
Find f(2) if f(x) = (x-4)(x-4)
a)
4
b)
-4
c)
0
d)
-3
112.
Find f(0) if f(x) = 5x3 + 2x2 +3x
a)
3
b)
10
c)
-2
d)
0
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