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 />
Subtract Rational Expressions To subtract fractions with like denominators,<br />
subtract the numerators <strong>and</strong> then write the difference over the common denominator. If<br />
possible, simplify the resulting rational expression.<br />
Example<br />
3x 2<br />
x 2<br />
3x 2 4x<br />
Find . x 2 x 2<br />
4x 3x 2 4x<br />
The common denominator is x 2.<br />
x 2 x 2<br />
2 x<br />
Subtract.<br />
x 2<br />
Exercises<br />
1(x 2)<br />
<br />
x 2<br />
1(x 2) 1<br />
<br />
x 2 1<br />
2 x 1(x 2)<br />
1<br />
<br />
1<br />
Simplify.<br />
1<br />
Find each difference.<br />
3 5<br />
5x x<br />
1. 2. <br />
a a<br />
8 8<br />
5x x<br />
11x x<br />
3. 4. <br />
9 9<br />
15y 15y<br />
8t 3t<br />
7m 1 4m<br />
5. 6. <br />
w 6 w 6<br />
3m 1 3m 1<br />
y 7 1<br />
3y 5 2y<br />
7. 8. <br />
y 6 y 6<br />
5 5<br />
2a 8 a 4<br />
m 1 3m 2<br />
9. 10. <br />
a 4 a 4<br />
2m 3 2m 3<br />
x 5a 2 4a 2<br />
11. 12. <br />
a2 a2 2 x 5x<br />
<br />
x<br />
2 x<br />
<br />
x<br />
4<br />
a 4<br />
13. 14. <br />
c 2 c 2<br />
a 1<br />
c 2<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong> (<strong>continued</strong>)<br />
Rational Expressions with Like Denominators<br />
a 6<br />
a 1<br />
x a 1<br />
15. 16. <br />
a2 1 a2 1<br />
2 x 8<br />
<br />
x 4<br />
2 2x<br />
<br />
x 4<br />
17. 18. 6 x<br />
<br />
x 2<br />
2 4x 4y 4x<br />
x<br />
<br />
4x 4y 4x 4y<br />
x 2<br />
© Glencoe/McGraw-Hill 736 Glencoe Algebra 1
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