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Alg2 Exam Review U1-6 (20-21)

Total questions: 38

Worksheet time: 2hrs 19mins

Name
Class
Date
1.
Which parent function matches the graph?
a)
y = |x|
b)
y = ∛(x)
c)
y = x2
d)
y = a⋅bx
2.
Which parent function matches the graph?
a)
f(x) = x
b)
f(x)= x2
c)
f(x) = |x|
d)
f(x) = abx
3.
What type of function is shown?
a)
Exponential 
b)
square root
c)
quadratic
d)
cube root
4.
Which parent function matches the graph? 
a)
f(x) = a⋅bx
b)
f(x) = ∛(x)
c)
f(x) = √(x)
d)
f(x) = x2
5.
g(x)=f(x)-4
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated down 4.
b)
f(x) has been translated up 4.
6.
g(x)=f(x-4)
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the right 4.
b)
f(x) has been translated to the left 4.
7.
Match the equation to its description.
a)
Right 2 and up 2
b)
Left 2 and up 2
c)
Right 2 and down 2
d)
Left 2 and down 2
8.
Find the Range.
a)
All Real numbers
b)
0 < y < 11
c)
y ≥ 0
d)
y > 0
9.
What is the Domain?
a)
-10 ≤ y ≤ 6
b)
y ≤ 6
c)
-10 ≤ x ≤ 6
d)
All Real Numbers
10.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

11.

State the Range.

a)

y ≤ 3

b)

y ≥ 3

c)

All Reals

d)

y ≤ 0

12.
Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3
a)
reflected over x axis, stretched by 2, right 3, up 3
b)
reflected over x axis, stretched by 2, left 3 up 3.
c)
reflected over x axis, shrunk by 2, right 3, up 3
d)
reflected over the x axis, shrunk by 2, left 3, up 3
13.
Solve 3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
14.
Solve
3 | 2t - 3 | - 5 > 16
a)
No Solution
b)
All Real Numbers
c)
t < -2  or  t > 5
d)
-2 < t < 5
15.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
16.
Factor
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
17.

Factor completely:
 6a2+48a−546a^2+48a-54  

a)

 (a−1)(a+9)\left(a-1\right)\left(a+9\right)  

b)

 6(a−1)(a+9)6\left(a-1\right)\left(a+9\right)  

c)

 (6a−6)(a+9)\left(6a-6\right)\left(a+9\right)  

d)

 (a−1)(6a−54)\left(a-1\right)\left(6a-54\right)  

18.
The factors of 27x3 + 8 are:
a)
(3x + 2)(9x2 - 6x + 4)
b)
(3x - 2)(9x2 - 6x + 4)
c)
(3x + 2)(9x2 + 6x + 4)
d)
(3x + 2)(9x2 + 6x - 4)
19.
Simplify. 
a)
A
b)
B
c)
C
d)
D
20.
Simplify. 
a)
A
b)
B
c)
C
d)
D
21.
Simplify. 
a)
A
b)
B
c)
C
d)
D
22.

SIMPLIFY

a)

A

b)

B

c)

C

d)

D

23.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

24.

Determine the values of

a, b, and c for

the quadratic equation:

4x2 – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

25.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
26.

Use the quadratic formula to solve 2x2 + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

27.
What direction is the following equation opening?
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
28.
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)
29.

What equation matches this graph?

a)

y=(x-2)2+ 4

b)

y=(x-3)2 -1

c)

y=x2 + 8

d)

y=(x+3)2-1

30.

Find the discriminant and label the number and type of solutions you will get

4x2 – 8x = 1

a)

2 imaginary solutions

b)

1 rational solution

c)

2 rational solutions

d)

2 irrational solutions

31.
Multiply
(x2-2x+1)(x+1)
a)
x3-x2-x+1
b)
x3-2x+2
c)
x3+x2+x+1
d)
x3-3x2-3x+1
32.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
33.
Identify the degree of the polynomial and the sign of the leading coefficient, using the graph.
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
34.
Describe the end behavior of the function. 
f(x) = -2x2 + 3x 
a)
Left up    Right up
b)
Left up   Right down
c)
Left down  Right up
d)
Left down   Right down
35.
How many solutions does the polynomial have?
a)
2
b)
3
c)
4
d)
5
36.
Factor and state the zeros:
a)
A
b)
B
c)
C
d)
D
37.
Which statement is correct?
a)
The zeros of this polynomial are 0, 2, and 5. 
b)
The solution 5 has a multiplicity of 2
c)
The solution 1 has a multiplicity of 1
d)
There are 4 solutions. 
38.

What degree is the polynomial function that is graphed?

a)

1

b)

2

c)

3

d)

4

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