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Investigating Monomials (pp. 1 of 4)

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<strong>Investigating</strong> <strong>Monomials</strong> (<strong>pp</strong>. 4 <strong>of</strong> 4)<br />

Algebra 2<br />

HS Mathematics<br />

Unit: 06 Lesson: 01<br />

Practice Problems<br />

Simplify the following expressions.<br />

3 3 5<br />

1) x x x x<br />

2) 2<br />

3<br />

3xy<br />

3)<br />

6 6<br />

x y<br />

4)<br />

2 6 2 6<br />

3 x y <br />

4x<br />

y <br />

x<br />

3<br />

y<br />

4<br />

5)<br />

4 6<br />

ab c<br />

6)<br />

a<br />

5<br />

bc<br />

2<br />

5 3<br />

2a<br />

b c<br />

3 3<br />

8a<br />

b c<br />

3<br />

7)<br />

40a<br />

20a<br />

1<br />

7<br />

b<br />

8) 5 8 3 2 2<br />

<br />

15m<br />

n m<br />

n <br />

5<br />

3<br />

4<br />

b<br />

45m<br />

n<br />

9) The height <strong>of</strong> a triangle is represented by the expression<br />

2 3 5<br />

8p<br />

q r<br />

6<br />

15p<br />

qr<br />

3<br />

. The base is represented by<br />

. Find the expression that can be used to represent the area <strong>of</strong> the triangle.<br />

10) The length and area <strong>of</strong> a rectangle are given in the diagram below. Find the expression that can<br />

be used to represent the width <strong>of</strong> the rectangle.<br />

w = ?<br />

Area = 72m 15 n 10<br />

4m 3 n 7<br />

©2010, TESCCC 08/01/10 page 14 <strong>of</strong> 61

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