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INTERMEDIATE ALGEBRA TEST CHAPTER 7 WEB SITE In problems 1 – 3, simplify. 3 1. 2x y −5 4x 2 3 x4 4 2. 7 y2 (3x ½ ־y² ) ⅓ ־ 3. −2 x7 3 4. 5. Use radical notation to write the expression: 6x 7 . Evaluate: 64 −1 3 In problems 6 – 8, simplify. Assume all variables represent positive real numbers. 40 x 5 y 9 6. 3 9. Combine like terms: 10. Multiply and simplifyS: (2 405 x 7 y 8 z 7. 80 x +2 8. 3 27 x 5 y 9 45 x -3 20 x 3 - 5 2 )( 3 + 4 2 ) In problems 11 – 13, rationalize the denominator. Assume all variables represent positive real numbers. 11. 6 7 3x 12. 3x 13. 3+2 2 3 −5 In problems 14 – 16, solve. 14. 16. 7x + 5 = 4 15. 1+ x +1 = x+2 3x + 1 (x – 3) = In problems 17 – 19, perform the indicated operation. Express results in the form of (a + bi). 17. − 16 20. Reduce i 18. 47 ( − 3 )( − 3 ) to the lowest positive power. 19. (4 – 3і )(6 + 2і )