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Worksheets

Polynomial Vocabulary & Simplifying Review

Total questions: 74

Worksheet time: 2hrs 39mins

Name
Class
Date
1.
The numeric factor of a term.
a)
term
b)
polynomial
c)
coefficient 
d)
constant
2.
A term that only contains a number
a)
term
b)
polynomial
c)
coefficient 
d)
constant
3.
A number OR a variable OR the product of a number and/or variable.
a)
term
b)
polynomial
c)
coefficient 
d)
constant
4.
The sum of two or more terms with whole number exponents.
a)
term
b)
polynomial
c)
coefficient 
d)
constant
5.
How many terms are in the polynomial x2-2x+5?
a)
0
b)
1
c)
2
d)
3
6.
What is the constant in the polynomial x2-2x+5?
a)
1
b)
2
c)
5
d)
0
7.
What is the degree of the polynomial x2-2x+5?
a)
1
b)
2
c)
3
d)
0
8.
Is this expression a polynomial x2.5+3x-2?
a)
Yes
b)
No
9.
what is the degree of the monomial?
x5y8
a)
5
b)
8
c)
13
d)
40
10.
what is the degree of the monomial?
-20
a)
0
b)
1
c)
2
d)
20
11.
4x2 + 8x - 7 is classified as a...
a)
Monomial
b)
Binomial
c)
Trinomial
d)
Cubic
12.
The binomial 3x2 - 4 has degree...
a)
1
b)
2
c)
3
d)
4
13.
The monomial 7 has a degree of...
a)
7
b)
1
c)
0
d)
It has no degree
14.
The monomial 8x2y3z4 has a degree of...
a)
24
b)
9
c)
8
d)
3
15.
What is the degree of this polynomial?  7x - 4x5 + 3x4 - 6x2
a)
1
b)
2
c)
4
d)
5
16.
A polynomial with two terms is called a...
a)
monomial
b)
binomial
c)
trinomial
d)
twonomial
17.
The number in front of the variable is called the.... 
a)
exponent
b)
base
c)
coefficient
d)
fronter
18.
A power is the same as an 
a)
base
b)
exponent
c)
variable
d)
coefficient
19.
Which pair is an example of like terms?
a)
2a and 2b
b)
x and x2
c)
3k and 3k3
d)
y2 and 2y2
20.
If two things are equivalent then they must be...
a)
equal
b)
different
c)
bigger
d)
smaller
21.
The value of the greatest exponent of a polynomial.
a)
factor
b)
factoring
c)
degree
d)
monomial
22.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
23.
Evaluate 4(5) - 6
a)
11
b)
14
c)
20
d)
26
24.
A polynomial with only one term.
a)
degree
b)
factor
c)
monomial
d)
polynomial
25.
An algebraic expression with one or more terms.
a)
factor
b)
evaluate
c)
degree
d)
polynomial
26.
Which of these has 3 monomials?
a)
5x, 9, 3x + 2
b)
3x, 5x4, 14x
c)
3x+5, x2, 19
d)
5x2, x + 7, 19
27.
What are like terms?
Terms that have....
a)
the same variables
b)
the same exponents
c)
the same coefficients
d)
the same variables and exponents
28.
When you combine like terms, what do you do with the exponents?
a)
Add them
b)
Multiply them
c)
Nothing
29.
Classify by the DEGREE:
4x3 - 5x2 + 2x - 1
a)
1
b)
2
c)
3
d)
4
30.
Classify by the DEGREE:
2x2 - 5
a)
1
b)
2
c)
3
d)
4
31.
Classify by the DEGREE:
3x - 2
a)
1
b)
2
c)
3
d)
4
32.
What is the name of the degree of a monomial that does not have a variable?
( ex. 511 )
a)
constant
b)
linear
c)
quadratic
d)
cubic
33.
What is the name of a polynomial with three terms?
a)
monomial
b)
binomial
c)
trinomial
d)
cubic
34.
What is the degree of this polynomial?
4xy2 + 3x - 5
a)
2
b)
3
c)
4
d)
5
35.
A variable is defined as...
a)
Anything that can be measured or counted
b)
A number that repeats itself
c)
A symbol, usually a letter, that represents the value of a variable quantity
d)
The distance that a number is from zero on the number line
36.
A coefficient is ...
a)
A polynomial with two terms
b)
A term that has no variable factor
c)
A mathematical sentence that uses an equal sign
d)
The numerical factor when a term has a variable
37.
Simplify:
5(3x+2)
a)
3x+10
b)
15x+10
c)
15x-10
d)
3x-10
38.
Simplify:
5x(4x3 + 8) - 4x
a)
9x4 + 40x
b)
20x4 + 36x
c)
20x4 - 20x2 + 40
d)
20x4 + 20x
39.
Degree Zero
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
40.
Degree One
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
41.
Degree Two
a)
Quartic
b)
Linear
c)
Quadratic
d)
Cubic
42.
Degree Three
a)
Quartic
b)
Linear
c)
Quadratic
d)
Cubic
43.
Simplify:
2x ( -2x -3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
44.
3x2+2x2
a)
5x2
b)
6x2
c)
5x4
d)
6x4
45.
5ab – 2ab2 + 4ab 
a)
7ab2
b)
9ab - 2ab2
c)
ab - 2ab2
d)
12ab
46.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
47.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
48.
5x2+8x+6+x2+3x+1
a)
6x2+11x+7
b)
17x2+7
c)
24x2
d)
17x+7
49.
Simplify this expression
a)
-5r + 11
b)
-2r + 3
c)
10r + 30 - 12r
d)
2r + 3
50.
2(3x - 1) + 10
a)
6x + 12
b)
6x + 8 
c)
6x + 9
d)
6x - 8 
51.
4(x + 2) + 6x
a)
4x + 2 + 6x
b)
4x + 8 + 6x
c)
10x + 8
d)
10x + 2
52.
5x + 8y - 3x - 15y
a)
2x - 7y
b)
8x + 23y
c)
8x - 23y
d)
2x + 7y
53.
6(3x + 5) + 2(x - 4) 
a)
11x + 22
b)
20x + 22
c)
20x + 1
d)
18x + 26
54.
-3(x - 2) + 8(2x + 1) 
a)
13x + 14
b)
13x + 2
c)
13x - 2 
d)
7x + 14
55.
8 + 5(x - 2) 
a)
5x - 6 
b)
5x + 6
c)
5x - 2 
d)
5x + 2
56.
-(4x - 3) + 2(x + 5)
a)
-2x + 7 
b)
2x - 13 
c)
-2x - 7 
d)
-2x + 13
57.
8x - 2(x + 3)
a)
6x - 6 
b)
6x - 5
c)
6x + 6 
d)
6x + 3
58.
2 - 5(x - 1)
a)
-5x+7
b)
-5x-3
c)
-5x-7
d)
5x+3
59.
-2(4x-9)
a)
-8x-18
b)
-8x+18
c)
8x+18
d)
2x+18
60.
4(x-1) - 3(x-5)
a)
x-19
b)
x+11
c)
x+19
61.
-6(x-2) + 15x
a)
-6x +27
b)
9x + 12
c)
-6x + 12
d)
15x + 12
62.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
63.
-4(k - 7)
a)
-4k + 28
b)
-4k - 28
c)
4k + 28
d)
4k - 28
64.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
65.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
66.
4(k + 7)
a)
4k + 28
b)
4k - 28
c)
-4k + 28
d)
4k - 28
67.
8(x + 5)
a)
8x + 13
b)
8x + 5
c)
8x + 40
d)
13x
68.
-2(3m + 9)
a)
-6m + 7
b)
-6m - 7
c)
-6m + 18
d)
-6m - 18
69.
Simplify the expression:
9(x + 2) + 3(y + 1)
a)
9x + 3y + 21
b)
9x + 3y + 3
c)
12x + 21
d)
12x + 3
70.
2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
71.
11y + 3(2y - 4)
a)
5y
b)
17y - 4
c)
17y - 12
d)
5y + 12
72.
16w - 7 - 5w - 11 + 4(w - 5)
a)
15w - 38
b)
15w + 24
c)
17w - 2
d)
17w + 2
73.
Simplify the following expression:
-7x +5 (1 - 8x)
a)
-33x + 5
b)
5 + 33x
c)
47x + 5
d)
5 - 47x
74.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 +  21
c)
33b - 19
d)
-47b -19