WorksheetsSimplifying Polynomials (Combining Like Terms)
Total questions: 21
Worksheet time: 50mins
Name
Class
Date
1.
How many terms are in this polynomial?
2x3 - 8x2 + 3x - 7
a)
7
b)
1
c)
4
d)
2
2.
What is the constant of this polynomial?
2x3 - 8x2 + 3x - 7
a)
2
b)
-8
c)
3
d)
-7
3.
What is the coefficient of this term?
9x3
a)
None
b)
9
c)
3
d)
x
4.
Simplify the Expression:
3x + 6 - 2x +7
a)
14
b)
14x
c)
x + 13
d)
x - 13
5.
The number in front of the variable is called the....
a)
exponent
b)
base
c)
coefficient
d)
fronter
6.
Which pair is an example of like terms?
a)
2a and 2b
b)
x and x2
c)
3k and 3k3
d)
y2 and 2y2
7.
Simplify this polynomial:
n - 10 + 9n - 3
a)
-3
b)
9n - 3
c)
n
d)
10n - 13
8.
Combine like terms
3x + 2x + 3y - 7y
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
9.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
10.
Simplify this polynomial:
3x2 - x + 2 - 5x2 + 8x - 5
a)
8x2 + 9x + 7
b)
-2x2 + 7x - 3
c)
2x2 + 7x - 3
d)
5x2 - 3
11.
Simplify the expression: 2x + 1 + 7x
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
12.
Simplify the expression:
-2x2 - x + 1 - x2 + 3x - 5
-2x2 - x + 1 - x2 + 3x - 5
a)
-2x2 + 2x - 6
b)
-3x2 + 2x - 4
c)
2x2 + 2x + 4
d)
-3x2 + 4x - 4
13.
12x2 - 8x + 9 - 7x2 + 3x - 5
a)
19x2+11x+4
b)
5x2-5x+4
c)
4x2+2x-2
d)
4
14.
Simplify the expression.
4a3 - 8a - 4a2 + 7a3 - 7 - 6a
a)
11a3 - 4a2 - 14a - 7
b)
5a3 - 4a2 - 14a - 7
c)
5a3 - 4a2 - 20a - 7
d)
5a3 - 9a2 - 20a - 7
15.
What is/are the constant(s) of 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
16.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
17.
Simplify by combining like terms:
5a + 2b - 3a + 4
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
18.
2a2 – 8a2+ 5a3– 11a2
a)
- 5a2 + 5a3
b)
-17a2 + 5a3
c)
5a2 - 5a3
19.
–4d8 – 3 + 5d4– 8d8 + 7
a)
4 + 5d4 - 12d8
b)
4 + 5d4 - 4d8
c)
4 - 5d4 - 12d8
20.
2c – 12c3 – 5c4 + 7c + 10c4
a)
9c – 12c3 + 5c4
b)
-9c – 12c3 + 5c4
c)
9c + 12c3 + 5c4
21.
9m3 + m + 2m2 – 3m3
a)
m + 2m2 - 6m3
b)
m + 2m2 + 11m3
c)
m + 2m2 + 6m3
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