Algebra Worksheets - Complete Set With Answers Page 32
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72Addition and Subtraction of Polynomials - 5.3
Combining Polynomials - To add or subtract polynomials, combine the numerical coefficients of the
like terms. (Like terms are terms that have the same variables with the same exponents.)
2
2
2
2
Examples: a. (4x
+ 3x -2) + (2x
- 5x -6)
b. (3a
-5a + 2) - (4a
+ a + 2)
2
2
2
(4x
+ 2x
) + (3x - 5x) + (-2 -6)
3a
- 5a + 2 - 4a = -a -2
2
2
2
6x
- 2x - 8
(3a
- 4a
) + (-5a - a) + (2 - 2)
2
-a
- 6a
Simplify.
2
2
2
1) (x
+ 5x) + (-2x
- 3x)
2) (y
+ 3y) + (-2y -5)
2
2
3
2
3) (x
+ 4x + 9) + (x
-x -6)
4) (x
-5x + 6) + (3x
-x -6)
3
2
3
2
3
2
5) (4y
+ 2y
-2) + (-3y
-2y
-1)
6) (x
-3x) - (x
- 7x)
2
2
3
2
7) (x
-3x + 2) - (x
+ 6x + 7)
8) (3x
+ 6x + 3) - (-2x
+ 3x + 2)
3
3
2
3
3
9). (5y
+ 4y -1) - (y
+ y
+ 6)
10) (2x
-5x + 6) - (x
-x + 7)
3
3
2
2
11) (y
-6xy + 2) + (y
-6xy -7)
12) (x
- 2xy) - (-2x
+ 3xy)
2
2
2
2
13) (2x
+ x -1) - (x
+ 6x -3)
14) (3x
+ 2x -2) + (x
+ 5x -6)
3
2
15) (3x
-2x -6) - (2x
+6x -1)
28
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