Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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12-6<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />
Rational Expressions With Like Denominators<br />
Add Rational Expressions To add rational expressions with like denominators, add<br />
the numerators <strong>and</strong> then write the sum over the common denominator. If possible, simplify<br />
the resulting rational expression.<br />
Example 1 5n 7n<br />
Find . 15 15<br />
Example 2<br />
3x 6<br />
Find . x 2 x 2<br />
5n 7n 5n 7n<br />
15 15 15<br />
Add the numerators.<br />
3x 6 3x 6<br />
x 2 x 2 x 2<br />
12n<br />
<br />
15<br />
Simplify.<br />
3(x 2)<br />
<br />
x 2<br />
4n<br />
12n<br />
<br />
15 5<br />
Divide by 3.<br />
3(x 2) 1<br />
<br />
x 2 1<br />
4n<br />
<br />
5<br />
Simplify.<br />
3<br />
or 3<br />
1<br />
Exercises<br />
Find each sum.<br />
x x<br />
1. 2. <br />
8<br />
2<br />
3 4<br />
<br />
a a<br />
8<br />
x 3 x 2<br />
m 8 m 4<br />
3. 4. <br />
6 6<br />
2 2<br />
2x 3x<br />
m 4 m 4<br />
5. 6. <br />
x 5 x 5<br />
m 1 m 1<br />
y 5 1<br />
3x 5 2x 10<br />
7. 8. <br />
y 6 y 6<br />
5 5<br />
2a 4 a<br />
m 1 3m 3<br />
9. 10. <br />
a 4 a 4<br />
2m 1 2m 1<br />
x 1 x 5<br />
5a 10a<br />
11. 12. <br />
x 2 x 2<br />
3b2 3b2 3x 2 x 6<br />
a 4 a 6<br />
13. 14. <br />
x 2 x 2<br />
a 1 a 1<br />
6a<br />
15. 16. <br />
2<br />
3a<br />
<br />
a<br />
2 2x 3 x 6<br />
4a<br />
<br />
x 3 x 3<br />
a<br />
4x x 9a 14 8a 16<br />
17. 18. 2a 1 2a 1<br />
2<br />
8x<br />
<br />
x 4 x 4<br />
© Glencoe/McGraw-Hill 735 Glencoe Algebra 1<br />
Lesson 12-6
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