Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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12-8<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />
Mixed Expressions <strong>and</strong> Complex Fractions<br />
b<br />
x y<br />
Simplify Mixed Expressions Algebraic expressions such as a <strong>and</strong> 5 are<br />
c<br />
x 3<br />
called mixed expressions. Changing mixed expressions to rational expressions is similar<br />
to changing mixed numbers to improper fractions.<br />
Example 1 2<br />
Simplify 5 .<br />
n<br />
Example 2<br />
3<br />
Simplify 2 . n 3<br />
2 5 n 2<br />
5 <br />
n n n<br />
LCD is n.<br />
3 2(n 3) 3<br />
2 <br />
n 3 n 3 n 3<br />
5n 2<br />
n<br />
Add the numerators.<br />
2n 6 3<br />
n 3 n 3<br />
2 5n 2<br />
Therefore, 5 . n n<br />
2n 6 3<br />
<br />
n 3<br />
2n 9<br />
<br />
n 3<br />
3 2n 9<br />
Therefore, 2 . n 3 n 3<br />
Exercises<br />
Write each mixed expression as a rational expression.<br />
6<br />
1<br />
1. 4 2. 3<br />
a<br />
9x<br />
1<br />
4<br />
3. 3x 4. 2<br />
x2 x2 60<br />
h<br />
5. 10 6. 2<br />
x 5<br />
h 4<br />
7. y2 y<br />
4<br />
8. 4 <br />
y 2<br />
2x 1<br />
1<br />
4<br />
9. 1 10. 2m<br />
x<br />
m 2<br />
11. x2 x 2<br />
a 2<br />
12. a 3 <br />
x 3<br />
a 3<br />
13. 4m 14. 2q2 3n<br />
q<br />
<br />
2t<br />
p q<br />
15. 4y2 16. q2 2<br />
p q<br />
<br />
y2 1<br />
p q<br />
© Glencoe/McGraw-Hill 747 Glencoe Algebra 1<br />
Lesson 12-8
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