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Worked-out Problems

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Chapter 3 continued<br />

Brain Game ––CONTINUED––<br />

5x 3x 56<br />

8x 56<br />

8<br />

<br />

x<br />

8<br />

56<br />

<br />

8<br />

x 7<br />

11x 9 42<br />

11x 9 9 42 9<br />

11x 33<br />

11<br />

1<br />

x<br />

1<br />

3<br />

<br />

3<br />

11<br />

x 3<br />

1 8 7 3<br />

B C D <br />

A<br />

Lesson 3.3<br />

3.3 Concept Activity (p. 130)<br />

1. 9 2x 1 3x<br />

<br />

3. 5x 2 3x 14<br />

<br />

<br />

<br />

<br />

So, the solution is 6.<br />

4. Yes. Sample answer: Removing x-tiles has no effect on<br />

the 1-tiles and vice versa.<br />

5. Sample answer: Solving an equation with variables on<br />

both sides of the equal sign adds one extra step, because<br />

you must first get all variable terms on one side.<br />

So, the solution is 8.<br />

2. 3x 4 8 x<br />

<br />

<br />

<br />

<br />

So, the solution is 2.<br />

<br />

<br />

<br />

3.3 Checkpoint (p. 131)<br />

1. 5n 2 3n 6<br />

5n 2 3n 3n 6 3n<br />

2n 2 6<br />

2n 2 2 6 2<br />

2n 8<br />

2 n<br />

8 2 2 <br />

n 4<br />

Check: 5n 2 3n 6<br />

5(4) 2 3(4) 6<br />

18 18 ✓<br />

2. 8y 4 11y 17<br />

8y 4 8y 11y 17 8y<br />

4 3y 17<br />

4 17 3y 17 17<br />

21 3y<br />

2 1<br />

3 y<br />

<br />

3 3<br />

7 y<br />

Check: 8y 4 11y 17<br />

8(7) 4 11(7) 17<br />

60 60 ✓<br />

Copyright © McDougal Littell/Houghton Mifflin Company<br />

All rights reserved.<br />

Chapter 3<br />

Pre-Algebra 81<br />

<strong>Worked</strong>-Out Solution Key

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