﻿ Adding and Subtracting Polynomials Worksheet | Problems & Solutions

# Adding and Subtracting Polynomials Worksheet

• Page 1
1.
Simplify the expression (4$x$2 - 3$x$) - (2$x$2 + 2$x$), using algebra tiles to model the expression.
 a. 2$x$2 - $x$ b. 2$x$2 - 5$x$ c. 2$x$2 + 5$x$ d. 3$x$2 + 5$x$

2.
Simplify the expression (2$x$2 + 3$x$) - ($x$2 + 2$x$) using algebra tiles.
 a. 2$x$2 + 3$x$ b. 3$x$2 + 5$x$ c. $x$2 - $x$ d. $x$2 + $x$

3.
Simplify the expression (4$x$2 - 3$x$) - (2$x$2 + 2$x$), using algebra tiles to model the expressions.
 a. 2$x$2 - $x$ b. 2$x$2 + 5$x$ c. 2$x$2 - 5$x$ d. 3$x$2 + 5$x$

4.
Simplify ($x$2 - 5) + (3$x$2 + 2$x$) using algebra tiles.
 a. 2$x$2 + 4$x$ - 5 b. 4$x$2 + 2$x$ + 5 c. 4$x$2 + 2$x$ - 5 d. 2$x$2 + 5

5.
Identify the simplified expression for the perimeter of the triangle using algebra tiles.

 a. 11$x$2 + 4$x$ b. 11$x$ + 4 c. 11$x$ - 4 d. 9$x$ + 5

6.
Express the perimeter of the figure as a polynomial.

 a. 2$y$2 + 2 b. 4$y$4 + 2 c. 6$y$ + 2 d. 6$y$ - 6

7.
Add the two polynomials 5$y$3 - 5$y$2 + 4$y$ - 6 and 6$y$ + 6$y$2 - 7.
 a. 5$y$3 + $y$2 + 10$y$ - 13 b. 5$y$3 - $y$2 + 10$y$ - 13 c. 5$y$3 + $y$2 + 10$y$ + 13 d. 5$y$3 - $y$2 - 10$y$ + 13

8.
Subtract the polynomial 6$y$ - 6$y$2 - 4 from 10$y$ + 6 - 3$y$2.
 a. - 3$y$2 - 4$y$ - 10 b. - 3$y$2 + 4$y$ + 10 c. - 3$y$2 + 4$y$ - 10 d. 3$y$2 + 4$y$ + 10

9.
Subtract the polynomial 16$y$2 from 21$y$2.
 a. 5$y$2 b. - 5$y$2 c. 37$y$2 d. 8$y$2

The volume of a cube is (4$x$3 + 8) m3. A smaller cube with volume ($x$3 + 4) m3 is cut out of the cube. Identify a polynomial for the remaining volume.
 a. (3$x$3 + 12) m3 b. 8 m3 c. (5$x$3 +12) m3 d. (3$x$3 + 4) m3