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WorksheetsAlgebra 2 Review (Unit 1 - 2)
Total questions: 160
Worksheet time: 4hrs 53mins
Name
Class
Date
1.
A parabola is the set of all points equidistant from the focus and the directrix.
a)
true
b)
false
2.
If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
3.
The focus is always inside the parabola.
a)
true
b)
false
4.
The 'p' value represents the distance between the vertex and the focus AND the vertex and the directrix.
a)
True
b)
False
5.
The sign of the 'p' value determines if the graph opens upward or downward.
a)
True
b)
False
6.
The vertex, (h, k), is halfway between the focus and the directrix.
a)
true
b)
false
7.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
8.
What is the vertex of the equation
y= (x-12)2+7 ?
y= (x-12)2+7 ?
a)
(1,7)
b)
(-12, 7)
c)
(7,12)
d)
(12, 7)
9.
Determine the vertex of the parabola y=5(x-2)2–7
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
10.
What is the vertex of the quadratic function:
y=1/2(x-3)2+8?
y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
11.
Given the equation for this parabola:
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
12.
Which of the following is standard form of a quadratic equation?
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
13.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
14.
Does the equation open up or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
c)
both
d)
neither
15.
What is the point inside the parabola 'p' units from the vertex?
a)
vertex
b)
focus
c)
directrix
d)
axis of symmetry
16.
The inverse of the function f(x) is written as ...
a)
f -1(x)
b)
f 2(x)
c)
f '(x)
d)
f +(x)
17.
The inverse has been reflected over which line?
a)
y = x
b)
x = 0
c)
y = 0
d)
x = -y
18.
What does it mean to find the inverse of a function?
a)
the x's and y's are switched
b)
the x's and y's are divided by 2
c)
the x's and y's are made negative
d)
the x's and y's are the same
19.
What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)
a)
(1, 2) (3, 8) (-3, 6)
b)
(1, 2) (8, 3) (-3, 6)
c)
(-1, -2) (-3, -8) (3, -6)
d)
(2, 1) (8, 3) (6, -3)
20.
If the equation of f(x) goes through (-1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, -1) and (6, 4)
21.
Are these the graphs of two inverse functions?
a)
Yes
b)
No
c)
No way to tell
22.
When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?
a)
solve for y
b)
replace y with f-1(x)
c)
solve for x
d)
find the greatest common factor
23.
Classify by degree of polynomial:
3x3 – 6x
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
24.
Classify by number of terms:
2x – 9
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
25.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
26.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
27.
Classify by number of terms:
12
12
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
28.
Classify by degree of polynomial:
12
12
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
29.
(4x2+x) - (x2+2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
30.
Add the polynomials:
(2x+5y) + (3x-2y)
(2x+5y) + (3x-2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
31.
Multiply:
(4x+1)(5x−2)
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
32.
Find the product.
(x+7)2
a)
x2 + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
33.
(x +2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
34.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
35.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
36.
Multiply
(x+5)2
(x+5)2
a)
x2+25
b)
x2-25
c)
x2+10x+25
d)
x2-10x+25
37.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
38.
Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
a)
Maximum
b)
Minimum
39.
If the a value is positive, which direction does the graph open?
a)
up
b)
down
c)
left
d)
right
40.
If the a value is negative, which direction does the parabola open?
a)
up
b)
down
c)
left
d)
right
41.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
42.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
43.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
44.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
45.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
46.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
47.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
48.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
49.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
50.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
51.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
52.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
53.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
54.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
55.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
56.
The function shown in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
57.
Is the graph an even, odd, or neither function?
a)
Even
b)
Odd
c)
Neither
58.
Even, odd, or neither?
a)
Even
b)
Odd
c)
Neither
59.
Is the function even, odd, or neither?
f(x) = x2 + 2
a)
Even
b)
Odd
c)
Neither
60.
The function shown in the graph is:
a)
even
b)
odd
c)
neither odd nor even
d)
both odd and even
61.
The function in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
62.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient
Identify the degree of the polynomial and the sign of the leading coefficient
a)
Leading Coefficient Positive
Degree - Even
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
Degree - Odd
63.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient
Identify the degree of the polynomial and the sign of the leading coefficient
a)
Leading Coefficient Positive
Degree - Even
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
Degree - Odd
64.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient
Identify the degree of the polynomial and the sign of the leading coefficient
a)
Leading Coefficient Positive
Degree - Even
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
Degree - Odd
65.
In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
66.
In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
a)
-∞
-∞
-∞
b)
+∞
-∞
-∞
c)
-∞
+∞
+∞
d)
+∞
+∞
+∞
67.
Describe the end behavior of the graph.
a)
x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞
b)
x → -∞, f(x) → ∞ and x→∞, f(x) →∞
c)
x → -∞, f(x) → ∞ and x→∞, f(x) → 0
d)
x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞
68.
What is the degree of the polynomial?
a)
2
b)
3
c)
4
d)
5
69.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
x→∞, y→⁻∞
70.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and x→∞, y→⁻∞
b)
x → ∞, y→ ∞ and x→⁻∞, y→∞
c)
x → ∞, y→ ∞ and x→⁻∞, y→ 0
d)
x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞
71.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
72.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
73.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
74.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
75.
What is the degree?
a)
Positive
b)
Negative
c)
Even
d)
Odd
76.
What is the degree?
a)
Positive
b)
Negative
c)
Odd
d)
Even
77.
What is the leading coefficient?
a)
Positive
b)
Negative
c)
Odd
d)
Even
78.
What is the leading coefficient?
a)
Positive
b)
Negative
c)
Odd
d)
Even
79.
What is the leading coefficient?
a)
Positive
b)
Negative
c)
Odd
d)
Even
80.
What is the leading coefficient?
a)
Positive
b)
Negative
c)
Even
d)
Odd
81.
What is the leading coefficient?
a)
Positive
b)
Negative
c)
Odd
d)
Even
82.
What shape is this?
a)
rectangle
b)
square
c)
rhombus
d)
circle
83.
What shape is this?
a)
pentagon
b)
octagon
c)
hexagon
d)
rhombus
84.
What shape is this?
a)
triangle
b)
rectangle
c)
trapezoid
d)
rhombus
85.
What is the name of this 3D solid?
a)
Rectangular Tetrahedron
b)
Rectangular Prism
c)
Rectangular Pyramid
d)
Sphere
86.
What is the name of this 3D solid?
a)
Cone
b)
Triangular Prism
c)
Hexagonal Pyramid
d)
Cylinder
87.
What is the name of this 3D solid?
a)
Cone
b)
Square Pyramid
c)
Triangular Prism
d)
Hexagonal Pyramid
88.
This shape is called a ______?
a)
not sure
b)
rectangular prism
c)
cylinder
d)
cube
89.
What shape is this?
a)
Cube
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Cone
90.
Simplify.
a)
-5i
b)
5
c)
5i
d)
-5
91.
i2=
a)
i
b)
−1
c)
−i
d)
1
92.
i4=
a)
i
b)
−1
c)
−i
d)
1
93.
−1=
a)
i
b)
−1
c)
−i
d)
1
94.
−64
a)
8i
b)
−8
c)
8
d)
±8i
95.
What is 11 squared?
112
a)
132
b)
144
c)
121
d)
22
96.
What is 64 squared?
642
a)
4096
b)
8
c)
16
d)
128
97.
What is 5 squared?
52
a)
2.5
b)
25
c)
125
d)
10
98.
What is the square root of 100?
√100
a)
10
b)
200
c)
50
d)
1000
99.
What is the square root of 36?
√ 36
a)
4
b)
6
c)
18
d)
1296
100.
What is 16 squared?
a)
8
b)
256
c)
4
d)
32
101.
What is the square root of 81?
a)
3
b)
162
c)
6561
d)
9
102.
What is 25 squared?
a)
50
b)
5
c)
625
d)
125
103.
What number squared is 9?
a)
9
b)
18
c)
3
d)
81
104.
200
a)
is a perfect square
b)
is not a perfect square
105.
169
a)
Is a perfect square.
b)
Is not a perfect square.
106.
Which of the following is a perfect square?
a)
39
b)
50
c)
24
d)
81
107.
Which of the following is NOT a perfect square?
a)
1
b)
4
c)
100
d)
8
108.
The √21 is between which two integers?
a)
5 and 6
b)
20 and 22
c)
4 and 5
d)
10 and 11
109.
The √40 is between which two integers?
a)
39 and 41
b)
6 and 7
c)
5 and 6
d)
19 and 21
110.
52
a)
10
b)
25
c)
35
d)
-25
111.
152
a)
215
b)
30
c)
225
d)
220
112.
172
a)
189
b)
249
c)
34
d)
289
113.
112
a)
1111
b)
121
c)
101
d)
21
114.
122
a)
144
b)
154
c)
164
d)
44
115.
242
a)
476
b)
546
c)
416
d)
576
116.
62
a)
12
b)
18
c)
36
d)
39
117.
62
a)
12
b)
18
c)
36
d)
39
118.
182
a)
324
b)
364
c)
144
d)
284
119.
132
a)
139
b)
159
c)
169
d)
89
120.
142
a)
196
b)
186
c)
156
d)
176
121.
What is the solution for x + 9 = 21
a)
10
b)
12
c)
11
d)
13
122.
Solve for b
2b = -16
2b = -16
a)
8
b)
4
c)
-8
d)
3
123.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
124.
x - 8 = -5
a)
13
b)
-13
c)
3
d)
-3
125.
m+13=21
a)
m=34
b)
m=8
c)
m=273
d)
m=6
126.
Solve for y:
y - 7 = 10
y - 7 = 10
a)
17
b)
-3
c)
3
d)
-17
127.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
128.
k+8=15
a)
k=23
b)
k=10
c)
k=7
d)
k=11
129.
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
130.
Write the expression.
Twelve fewer questions than were on the first test.
Twelve fewer questions than were on the first test.
a)
12 + q
b)
q - 12
c)
q x 12
d)
q ÷ 12
131.
Martha baked cupcakes for 3 different classes. If each class needs 24 cupcakes which equation could be used to find x, the total number of cupcakes Martha will bake?
a)
3x=24
b)
x/3=24
c)
24x =3
d)
x/24 =3
132.
Solve:
a)
96
b)
-96
c)
4
d)
-4
133.
Solve:
a)
-12
b)
-8
c)
12
d)
8
134.
The slopes of parallel lines are...
a)
the same
b)
opposite
c)
always different
135.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
136.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
137.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
138.
What type of slope?
a)
zero slope
b)
undefined
c)
negative
d)
positive
139.
What does the inequality sign mean?
a)
greater than
b)
less than
c)
greater than or equal to
d)
less than or equal to
140.
What does the inequality sign mean?
a)
greater than
b)
less than
c)
greater than or equal to
d)
less than or equal to
141.
What does the inequality sign mean?
a)
greater than
b)
less than
c)
greater than or equal to
d)
less than or equal to
142.
What does the inequality sign mean?
a)
greater than
b)
less than
c)
greater than or equal to
d)
less than or equal to
143.
What inequality would you use for the phrase "at least"?
a)
<
b)
>
c)
≤
d)
≥
144.
Which sign is used for at most?
a)
<
b)
>
c)
≤
d)
≥
145.
Which sign is used for maximum?
a)
<
b)
>
c)
≤
d)
≥
146.
Which sign is used for minimum?
a)
<
b)
>
c)
≤
d)
≥
147.
Which sign is used for no more than?
a)
<
b)
>
c)
≤
d)
≥
148.
Which sign is used for fewer than?
a)
<
b)
>
c)
≤
d)
≥
149.
A letter used to represent a number value in an expression or an equation
a)
term
b)
coefficient
c)
constant
d)
variable
150.
A number that does not change (it stands alone without any variable attached)
a)
constant
b)
coefficient
c)
variable
d)
term
151.
What is the inverse (opposite) of multiplication?
a)
addition
b)
subtraction
c)
division
d)
multiplication
152.
What is the difference between an expression and equation?
a)
Expressions have an equal sign and equations do not have an equal sign
b)
Expressions do not have an equal sign and equations do have an equal sign
c)
There is not a difference
d)
Expressions do not have variables and equations have variables
153.
A number tripled subtracted from 60 is the same as 21.
a)
3c − 60 = 21
b)
60 − 3 = 21c
c)
60 − 3c = 21
d)
c(60 − 3) = 21
154.
Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.
a)
8 - 4m
b)
8m - 4
c)
8m + 4
d)
4m - 8
155.
How would you translate
x - 5 = 12 into words?
x - 5 = 12 into words?
a)
x - 5 = 12
b)
The product of x and 5 is twelve
c)
x less than 5 is 12
d)
Five less than x is 12.
156.
4(x+9)=20
a)
x=-4
b)
x=4
c)
x=14
d)
x=-14
157.
What does "product" mean?
a)
Multiply
b)
Divide
c)
Add
d)
Subract
158.
Write an algebraic expression for:
35 decreased by a number
35 decreased by a number
a)
35+n
b)
35-n
c)
n-35
159.
w increased by 5
a)
w - 5
b)
5w
c)
w + 5
d)
w / 5
160.
fourteen times a number
a)
n-14
b)
14n
c)
14+n
d)
14-n
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