WorksheetsCombining Like Terms & Adding Polynomials
Total questions: 16
Worksheet time: 29mins
Name
Class
Date
1.
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
2.
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
3.
Add or Subtract to Simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
4.
Add or Subtract to Simplify:
(x2 + 6x - 8) + (7 - 5x + 9x2)
(x2 + 6x - 8) + (7 - 5x + 9x2)
a)
10x2 - x - 1
b)
10x2 + x - 1
c)
8x2 + 11x - 1
d)
10x2 - 11x - 1
5.
Is the following written in standard form:
c + 8c3 - 3c7
c + 8c3 - 3c7
a)
yes
b)
no
6.
Add or Subtract to Simplify:
(5x + 2) + (4x + 5)
(5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
7.
Add or Subtract to Simplify:
(x + 2x2) + (4x2 + 7x)
(x + 2x2) + (4x2 + 7x)
a)
6x2 + 8x
b)
8x2 + 6x
c)
2x2 + 6x
d)
2x2 + 8x
8.
Add or Subtract to Simplify:
(x2 + 6x - 8) + (7 - 5x + 9x2)
(x2 + 6x - 8) + (7 - 5x + 9x2)
a)
10x2 - x - 1
b)
10x2 + x - 1
c)
8x2 + 11x - 1
d)
10x2 - 11x - 1
9.
Add or Subtract to Simplify:
(4x - 2x3) + (5x3 - 4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
10.
Add the polynomials.
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
a)
4x3 + 1x2 – 3x + 1
b)
2x3 + 1x2 - 5x + 9
c)
6x3 + 1x - 1x2 - 3
d)
3x5 +1x - 1x5 - 3x
11.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
12.
Which of the following are examples of like terms?
a)
2 and 2x
b)
y3 and x3
c)
y and x
d)
-3x and 3x
13.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
14.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(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.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
16.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
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