WorksheetsCh. 5 Review
Total questions: 30
Worksheet time: 1hrs 9mins
Name
Class
Date
1.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
2.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
3.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
4.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
5.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
6.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
7.
x3y/xy5
a)
x2y4
b)
x3y4
c)
x2/y4
d)
x2/y5
8.
Simplify (-4r5)(2r8)
a)
-8r13
b)
-2r13
c)
-8r40
d)
-2y40
9.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
10.
x5y3 / xy2
a)
x4y
b)
x2y
c)
x4y2
d)
x6y5
11.
Simplify (c5)(c3)(c3)
a)
c45
b)
3c11
c)
c11
d)
3c45
12.
Simplify the expression.
(6x2)(-3x5)
(6x2)(-3x5)
a)
18x7
b)
-18x7
c)
18x7
d)
3x7
13.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
14.
(6x3y7)3
a)
6x9y21
b)
18x9y21
c)
216x9y21
d)
18x6y10
15.
Simplify ( (a2)(2b-2)4 / -10b2
a)
8a2b-8 / -10b2
b)
24a2b-8 / -10b2
c)
164a2b-8 / -10b2
d)
-8a2 / 5b10
16.
a)
y3/8
b)
y3/24
c)
y/24
d)
y3/83
17.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x3 - x + 5
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x3 - x + 5
a)
Left up Right up
b)
Left up Right down
c)
Left down Right up
d)
Left down Right down
18.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x2 + 3x
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -2x2 + 3x
a)
Left up Right up
b)
Left up Right down
c)
Left down Right up
d)
Left down Right down
19.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 5x4 - x + 6
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 5x4 - x + 6
a)
Left up Right up
b)
Left up Right down
c)
Left down Right up
d)
Left down Right down
20.
The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x5 - 4x +2
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
21.
The degree of a polynomial can be determined by the largest powered monomial of the polynomial.
What is the degree of the polynomial:
f(x) = 3x2 + 4x - 5
What is the degree of the polynomial:
f(x) = 3x2 + 4x - 5
a)
Degree 2 (quadratic)
b)
Degree 3 (cubic)
c)
Degree 4 (quartic)
d)
Degree 5 (quintic)
22.
The degree of a polynomial can be determined by the largest powered monomial of the polynomial.
What is the degree of the polynomial:
f(x) = -5x4 - 3x + 2
What is the degree of the polynomial:
f(x) = -5x4 - 3x + 2
a)
Degree 2 (quadratic)
b)
Degree 3 (cubic)
c)
Degree 4 (quartic)
d)
Degree 5 (quintic)
23.
The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = 2x3 + 4x - 5
What is the leading coefficient for the polynomial f(x) = 2x3 + 4x - 5
a)
The leading coefficient is 2
b)
The leading coefficient is 3
c)
The leading coefficient is 4
d)
The leading coefficient is 5
24.
The leading coefficient is the coefficient of the largest degree monomial for the polynomial.
What is the leading coefficient for the polynomial f(x) = -4x3 - 2x + 5
What is the leading coefficient for the polynomial f(x) = -4x3 - 2x + 5
a)
The leading coefficient is -2
b)
The leading coefficient is 3
c)
The leading coefficient is -4
d)
The leading coefficient is 5
25.
Which function has this end behavior?
a)
-1x4-3x3+3
b)
-2x7+2x4+4
c)
3x8+3x5-4x+7
d)
4x5-4x4+2x3-9
26.
Which function has this end behavior?
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
27.
Solve using synthetic substitution:
f(x) = x3-11x2+31x+3 at x = 5
f(x) = x3-11x2+31x+3 at x = 5
a)
11
b)
-4
c)
-6
d)
8
28.
Solve using synthetic substitution:
f(x) = 5x3+34x2+29x+39 at x = -6
f(x) = 5x3+34x2+29x+39 at x = -6
a)
9
b)
-9
c)
6
d)
5
29.
Solve using synthetic substitution:
f(x) = x2-3x-4 at x = 5
f(x) = x2-3x-4 at x = 5
a)
6
b)
-11
c)
-10
d)
9
30.
Solve using synthetic substitution:
f(x) = -4x3+8x2+7x+19 at x = 3
f(x) = -4x3+8x2+7x+19 at x = 3
a)
-9
b)
4
c)
-6
d)
-7
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