Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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12-7<br />
Subtract Rational Expressions Adapt the steps given on page 741 for adding<br />
rational expressions. In Step 3, subtract the numerators instead of adding them.<br />
Example<br />
3x 1<br />
Find . x2 4x x 4<br />
3x 1 3x 1<br />
x2 4x x 4 x(x 4) x 4<br />
Factor the denominator.<br />
3x 1 x<br />
<br />
x(x 4) x 4 x<br />
The LCD is x(x 4).<br />
3x x<br />
x(x 4) x(x 4)<br />
1 x x<br />
2x<br />
x(x 4)<br />
Subtract numerators.<br />
2<br />
<br />
x 4<br />
Simplify.<br />
Exercises<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong> (<strong>continued</strong>)<br />
Rational Expressions with Unlike Denominators<br />
Find each difference.<br />
1 9<br />
1 1<br />
1. 2. <br />
a 4a<br />
9x 8<br />
5 1<br />
6 3<br />
3. 4. <br />
9x x2 x2 x3 5 2<br />
h 1<br />
5. 6. <br />
4a2 3a<br />
6h 6 h 1<br />
y 3<br />
y y 3<br />
7. 8. <br />
y 3 y 3<br />
y 7 y2 4y 21<br />
7a 4 2a<br />
5 2<br />
9. 10. <br />
3a 9 a 3<br />
m 1 3(m 1)<br />
4 2<br />
a 6b<br />
7<br />
11. 12. <br />
x 2y x 2y<br />
2a2 5ab 2b2 a 2b<br />
2<br />
4<br />
q<br />
1<br />
13. <br />
14. <br />
y2 3y 2 y2 2y 1<br />
q2 2q 1 q2 5q 4<br />
© Glencoe/McGraw-Hill 742 Glencoe Algebra 1
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