Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
Investigating Monomials (pp. 1 of 4)
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<strong>Investigating</strong> Polynomials (<strong>pp</strong>. 3 <strong>of</strong> 3)<br />
Algebra 2<br />
HS Mathematics<br />
Unit: 06 Lesson: 01<br />
Practice Problems<br />
Simplify the following polynomials.<br />
2<br />
2<br />
2<br />
2<br />
1. 2(4x<br />
3xy<br />
7y<br />
) (2x<br />
5xy<br />
3y<br />
)<br />
2<br />
2<br />
2<br />
2<br />
2. (5m<br />
2mp<br />
6p<br />
) 2( 3m<br />
5mp<br />
p )<br />
3. 2x(<br />
x 5) x(3<br />
x)<br />
2 2<br />
4. 5a<br />
b(7ab<br />
3a<br />
4b)<br />
5. ( 3x<br />
2y)(<br />
4x<br />
y)<br />
6.<br />
( 2x<br />
1)<br />
2<br />
7. ( 5x<br />
4)(5x<br />
4)<br />
2<br />
8. (2n<br />
3)( n 5n<br />
1)<br />
9. The height <strong>of</strong> a triangle is represented by the expression (x + 2). The base is represented by<br />
(2x – 8). Find the expression that can be used to represent the area <strong>of</strong> the triangle.<br />
10. The width and length <strong>of</strong> a rectangle are given in the diagram below. Find the expression that<br />
can be used to represent the area <strong>of</strong> the rectangle.<br />
2 3<br />
5x y<br />
4x y<br />
©2010, TESCCC 08/01/10 page 20 <strong>of</strong> 61
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