Worked-out Problems
Worked-out Problems
Worked-out Problems
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Chapter 3 continued<br />
3. m 1 9m 15<br />
m 1 m 9m 15 m<br />
1 8m 15<br />
1 15 8m 15 15<br />
16 8m<br />
16 8m <br />
8 8<br />
2 m<br />
Check: m 1 9m 15<br />
2 1 9(2) 15<br />
3 3 ✓<br />
3.3 Guided Practice (p. 133)<br />
1. Sample answer: To solve 8x 5 2x 7, subtract 2x<br />
from each side.<br />
8x 5 2x 2x 7 2x<br />
6x 5 7<br />
Subtract 5 from each side.<br />
6x 5 5 7 5<br />
6x 12<br />
Divide each side by 6.<br />
6 x<br />
12 <br />
6 6<br />
x 2<br />
2. Sample answer: Continue solving the equation.<br />
5z 2 5z<br />
5z 2 5z 5z 5z<br />
2 0<br />
This is a false statement, so the equation has no solution.<br />
3. 13m 22 9m 6<br />
13m 22 9m 9m 6 9m<br />
4m 22 6<br />
4m 22 22 6 22<br />
4m 16<br />
4 m 16<br />
<br />
4 4<br />
m 4<br />
Check: 13m 22 9m 6<br />
13(4) 22 9(4) 6<br />
30 30 ✓<br />
4. 19c 26 41 14c<br />
19c 26 14c 41 14c 14c<br />
5c 26 41<br />
5c 26 26 41 26<br />
5c 15<br />
5 c<br />
1 5<br />
<br />
5 5<br />
c 3<br />
Check: 19c 26 41 14c<br />
19(3) 26 41 14(3)<br />
83 83 ✓<br />
5. 15 4x 42 7x<br />
15 4x 7x 42 7x 7x<br />
15 3x 42<br />
15 3x 15 42 15<br />
3x 27<br />
3 x<br />
2 7<br />
<br />
3 3<br />
x 9<br />
Check: 15 4x 42 7x<br />
15 4(9) 42 7(9)<br />
21 21 ✓<br />
6. 14 5y 50 4y<br />
14 5y 4y 50 4y 4y<br />
14 9y 50<br />
14 9y 14 50 14<br />
9y 36<br />
9 y<br />
3 6<br />
<br />
9 9<br />
y 4<br />
Check: 14 5y 50 4y<br />
14 5(4) 50 4(4)<br />
34 34 ✓<br />
7. 18w 2 10w 14<br />
18w 2 10w 10w 14 10w<br />
8w 2 14<br />
8w 2 2 14 2<br />
8w 16<br />
8 w 16<br />
<br />
8 8<br />
w 2<br />
Check: 18w 2 10w 14<br />
18(2) 2 10(2) 14<br />
34 34 ✓<br />
82 Pre-Algebra<br />
Chapter 3 <strong>Worked</strong>-Out Solution Key<br />
Copyright © McDougal Littell/Houghton Mifflin Company<br />
All rights reserved.
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