Comalge Practice Exercises for Quiz 1

Comalge Practice Exercises for Quiz 1 - COMALGE PRACTICE...

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COMALGE PRACTICE EXERCISES 1 I. Know the structure of the real number system ( rational, irrational, integers, natural numbers, decimals) Know also the properties of real numbers. II. Perform the indicated operations 1. Add 2 2 y 5 xy x 2 - + and 2 2 y 6 xy 5 x 7 - - - 2. Subtract 2a + 2b – 4c from the sum of 4a – 7b + 12c and 5b – 3c 3. 9x – ( 2y – 3x) – { y – ( 2y - x) } – [ 2y + 2 ( 4x - 3y) ] 4. } a ] 3 ) 3 a ( 5 a 2 [ 4 a { a 5 a 2 2 2 3 - + - - + - 5. a. 4 6 5 ) 3 5 ( b. 3 7 4 3 4 3 ) y x 2 ( ) y x 4 ( - - c. 2 8 7 0 ) y 5 )( y x 5 ( - d. (2 5 )(2 -7 )(2 -2 ) e. (3s 5 t -4 ) -6 f. (-5m -1 n 4 ) 3 (n -3 m -2 ) -7 6. a. 2 6 a 9 2 bc 4 0 c 3 b 2 a 3 b. 2 v 2 u 33 u 2 w 28 4 w 7 3 v 2 u 3 c. 6 b 3 3 2 b 3 b d a ) d a ( + + . n 2 p 2 1 p p 1 n 2 2 n ) y x ( ) y x ( - + + + 7. a. ( 29 ( 29 4 3 3 6 2 2 3 2 3 2 - - - b. ( 29 2 3 7 3 3 0 4 3a b c 2a b c - - - c. 1 3 5 1 2 3 9 t y (4 ty ) - - - - - d. 2a 1 a 1 n 9 (3 ) - + e. 3 5 14 19 10 10 10 10 - - f. 3 2 4 3 4 3 1 2 z y x 6 z y x 4 - - - - g. 2 2 2 2 2 1 3 w v u w v u - - - - - 8.
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