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Worksheets*EL 07 Quiz Review
Total questions: 35
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
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
2.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
3.
Simplify:
a)
-5a6 - 5a4
b)
-3a3 - 1a2
c)
-2a3 - 6a2
d)
5a3 - 5a2
4.
Simplify:
a)
9n3 + 4n
b)
7n3 + 6
c)
-3n3 + 2
d)
7n6 + 6
5.
Simplify (2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
6.
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
7.
(x-3)(x2+2x+7)
a)
x3-x2+x-21
b)
x3+5x+13x-21
c)
x3-3x2+7x-21
d)
x2+2x-3
8.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
9.
Dividex4 + x3 +2x2 +x -1 by (x+1)
a)
x2 + 2x -1
b)
x3 + 2x-1
c)
x2 - 2x + 1
d)
x3 - 2x + 1
10.
Divide:
(4x2 - 24x + 35) / (2x - 5)
(4x2 - 24x + 35) / (2x - 5)
a)
2x - 7
b)
2x - 12
c)
2x + 12
d)
2x + 7
11.
2x3 + 5x2 + 9 ÷ x + 3
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
12.
Which term is missing in this problem?
2x3 + 5x2 + 9 ÷
x + 3
2x3 + 5x2 + 9 ÷
x + 3
a)
x4
b)
x3
c)
x2
d)
x
13.
a)
2x3 + 3x + (7/x-4)
b)
2x2 + 3x + 8 + (7/x-4)
c)
2x2 + 3x + 8
d)
2x2 - x + 10 + (6/x-4)
14.
Is (x-2) a factor of f(x)= x3-8x2+14x-4?
a)
Yes, (x-2) is a factor. There is a remainder.
b)
No, (x-2) is not a factor. The remainder is zero.
c)
Yes, (x-2) is a factor. The remainder is zero.
d)
No, (x-2) is not a factor. There is a remainder.
15.
If 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?
a)
0
b)
-3
c)
9
d)
5
16.
a)
A
b)
B
c)
C
d)
D
17.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x5 - 4x +2
a)
Left up Right up
b)
Left up Right down
c)
Left down Right up
d)
Left down Right down
18.
Determine the end behavior of the polynomial by identifying the degree and leading coefficient.
f(x) = 5x4 - x + 6
a)
UP-UP
b)
UP-DOWN
c)
DOWN-UP
d)
DOWN-DOWN
19.
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
20.
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
21.
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
22.
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→⁻∞
23.
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)
+∞
+∞
+∞
24.
Describe the end behavior of the function. (Put the polynomial in standard form first*)
y = -6x + 4 + 9x3
y = -6x + 4 + 9x3
a)
down and down
b)
down and up
c)
up and down
d)
up and up
25.
Describe the end behavior of the function.
y = 4x10
y = 4x10
a)
down and down
b)
down and up
c)
up and down
d)
up and up
26.
Which function has this end behavior?
Note: f(x)=y
Note: f(x)=y
a)
-1x4-3x3+3
b)
-2x7+2x4+4
c)
3x8+3x5-4x+7
d)
4x5-4x4+2x3-9
27.
Which function has this end behavior?
Note: f(x)=y
Note: f(x)=y
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
28.
Determine the end behavior of the graph of
f(x) = 3x4 + 2x - 5
Note: f(x)=y
f(x) = 3x4 + 2x - 5
Note: f(x)=y
a)
As x →∞, f(x) →∞.
As x→-∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
b)
As x →∞, f(x) →∞.
As x→-∞, f(x) →∞.
As x→-∞, f(x) →∞.
c)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →∞.
As x→-∞, f(x) →∞.
d)
As x →∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
As x→-∞, f(x) →-∞.
29.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
List the zeros for this function.
a)
x= -4, x=3, x= -2
b)
x= -4, x=3, x=2
c)
x= -4, x=3, x=2
d)
x=4, x= -3, x= -2
30.
How many zeros does the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
31.
Identify the zeros:
a)
x=-2, x=-1, x=0
b)
x=-2, x=0
c)
x=-1, x=0, x=2
d)
x=-2, x=0, x=1
32.
The polynomial
f(x) = 5x4 + 2x3 + 2x − 7 can have, at most, how many solutions?
f(x) = 5x4 + 2x3 + 2x − 7 can have, at most, how many solutions?
a)
5
b)
4
c)
3
d)
2
33.
a)
increasing and positive
b)
increasing and negative
c)
decreasing and positive
d)
decreasing and negative
34.
a)
increasing and positive
b)
increasing and negative
c)
decreasing and positive
d)
decreasing and negative
35.
a)
increasing and positive
b)
increasing and negative
c)
decreasing and positive
d)
decreasing and negative
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