Practice and Problem-Solving Exercises

A Practice

See Problems 1 and 2.

Add or subtract.

8. 5 2 m + 4 2 m fraction 5 , over 2 m end fraction , plus , fraction 4 , over 2 m end fraction
9. 5 c − 5 + 9 c − 5 fraction 5 , over c minus 5 end fraction . plus . fraction 9 , over c minus 5 end fraction
10. 3 b − 3 − b b − 3 fraction 3 , over b minus 3 end fraction . minus . fraction b , over b minus 3 end fraction
11. 5 c 2 c + 7 + c − 28 2 c + 7 fraction 5 c , over 2 c plus 7 end fraction . plus . fraction c minus 28 , over 2 c plus 7 end fraction
12. 1 2 − b − 4 2 − b fraction 1 , over 2 minus b end fraction . minus . fraction 4 , over 2 minus b end fraction
13. n n 2 + 4 n + 4 + 2 n 2 + 4 n + 4 fraction n , over n squared , plus 4 n plus 4 end fraction . plus . fraction 2 , over n squared , plus 4 n plus 4 end fraction
14. 2 y + 1 y − 1 − y + 2 y − 1 fraction 2 y plus 1 , over y minus 1 end fraction . minus . fraction y plus 2 , over y minus 1 end fraction
15. 3 n + 2 n + 4 − n − 6 n + 4 fraction 3 n plus 2 , over n plus 4 end fraction . minus . fraction n minus 6 , over n plus 4 end fraction
16. 2 t 2 t 2 − t − 3 − 3 2 t 2 − t − 3 fraction 2 t , over 2 , t squared , minus t minus 3 end fraction . minus . fraction 3 , over 2 , t squared , minus t minus 3 end fraction

See Problems 3 and 4.

Find the LCD of each pair of expressions.

17. 1 2 ; 4 x 2 1 half , semicolon , fraction 4 , over x squared end fraction
18. b 6 ; 2 b 9 b over 6 , semicolon , fraction 2 b , over 9 end fraction
19. 1 z ; 3 7 z 1 over z , semicolon , fraction 3 , over 7 z end fraction
20. 8 5 b ; 12 7 b 3 c fraction 8 , over 5 b end fraction , semicolon . fraction 12 , over 7 , b cubed , c end fraction
21. 3 5 ; x x + 2 3 fifths , semicolon . fraction x , over x plus 2 end fraction
22. 2 a b ; a − b b 2 c fraction 2 , over eh b end fraction , semicolon . fraction eh minus b , over b squared , c end fraction
23. 3 m m + n ; 3 n m − n fraction 3 m , over m plus n end fraction . semicolon . fraction 3 n , over m minus n end fraction
24. 1 k ; 3 k 2 − 2 1 over k , semicolon . fraction 3 , over k squared , minus 2 end fraction

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