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Algebra 1 - MathnMind

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12-7<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

Practice<br />

Rational Expressions with Unlike Denominators<br />

Find the LCM for each pair of expressions.<br />

1. 3a 3 b 2 ,18ab 3 2. w 4, w 2 3. 5d 20, d 4<br />

4. 6p 1, p 1 5. x 2 5x 4, (x 1) 2 6. s 2 3s 10, s 2 4<br />

Find each sum.<br />

7 10<br />

b 5 b 2<br />

7. 8. <br />

6x2y 3xy2 4b b<br />

n 7<br />

8 2<br />

9. 10. <br />

n 2 n 6<br />

n2 9 2n 6<br />

y 3 3y 2<br />

p 1 p<br />

11. <br />

12. <br />

y2 16 y2 8y 16<br />

p2 3p 4 p 4<br />

2a 6 6a 24<br />

h 3 h 2<br />

13. 14. <br />

a 5 a2 10a 25<br />

h2 6h 9 h 3<br />

Find each difference.<br />

6p 2p<br />

m 4 2<br />

15. 16. <br />

5x2 3x<br />

m 3 m 6<br />

s 1 2s 3<br />

b 3 3<br />

17. 18. <br />

s2 9 4s 12<br />

b2 6b 9 b 3<br />

t 3<br />

4t 8<br />

4y 3y 3<br />

19. 20. <br />

t2 3t 10 t2 10t 25<br />

y2 y 6 y2 4<br />

21. SERVICE Members of the ninth grade class at Pine Ridge High School are organizing<br />

into service groups. What is the minimum number of students who must participate for<br />

all students to be divided into groups of 4, 6, or 9 students with no one left out?<br />

22. SAFETY When the Cooper family goes on vacation, they set the house lights on timers<br />

from 5 P.M. until 11 P.M. The lights come on at different times in each of three rooms:<br />

every 40 minutes, every 50 minutes, and every 100 minutes, respectively. The timer<br />

turns each of them off after 30 minutes. After 5 P.M., how many times do all the lights<br />

come on at the same time in one evening? at what time(s)?<br />

© Glencoe/McGraw-Hill 744 Glencoe <strong>Algebra</strong> 1

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