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Review for Test III #1 Intermediate Algebra / MAT135 Spring 2010 (Prof. Greenbaun) 1. Multiply. Simplify your answer as much as possible. 2. A car travels at an average speed of 3. Solve for miles per hour. How long does it take to travel miles? : . 4. Write the following expression in simplified radical form. Assume that all variables represent positive real numbers. 5. Write without exponents: . ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 1/9 6. Simplify. 7. Find all values of which satisfy the equation . 8. Compute the following: . 9. Write the following as an exponential expression. 10. Simplify the following expression as much as possible: Assume that all variables represent positive real numbers. 11. Simplify the following expression as much as possible: . ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 2/9 12. Write in simplified radical form by rationalizing the denominator. 13. Rationalize the denominator and simplify. 14. Write the following expression in simplified radical form. Assume that all of the variables in the expression represent positive real numbers. 15. Evaluate. Write your answer without exponents. 16. Simplify the expression. Write your answer without using negative exponents. Assume that all variables are positive real numbers. ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 3/9 17. Rationalize the denominator and simplify. 18. Simplify the expression. Write your answer without using negative exponents. Assume that all variables are positive real numbers. 19. Write the following expression in simplified radical form. Assume that all of the variables in the expression represent positive real numbers. 20. Simplify the following expression as much as possible: Assume that all variables represent positive real numbers. 21. Perform the following division: . Write your answer in the form , where is the quotient and ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation is the remainder of the P. 4/9 division. 22. Perform the following division: . Write your answer in the form , where is the quotient and is the remainder of the division. 23. Rewrite the following in simplified radical form. Assume that all variables represent positive real numbers. 24. The ratio of men to women at a certain company is there are to . How many male employees does the company have if employees? 25. Perform the following division: . Write your answer in the form , where is the quotient and is the remainder of the division. ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 5/9 26. Simplify. 27. Simplify. Assume that all variables represent positive real numbers. 28. How long will it take days? machines to complete a task, given that machines can complete the same task in 29. Multiply. Simplify your answer as much as possible. 30. Solve for : . Simplify your answer as much as possible. ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 6/9 Review for Test III #1 Answers for class Intermediate Algebra / MAT135 Spring 2010 1. 2. hours minutes 3. 4. 5. 6. . 7. 8. 9. 10. 11. 12. 13. 14. 15. ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 7/9 16. 17. 18. 19. 20. 21. . 22. . 23. 24. 25. . 26. . 27. 28. days ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 8/9 29. 30. ALEKS Review for Test III #1 - 01/02/2010 1:39:20 PM PST -Copyright © 2010 UC Regents and ALEKS Corporation P. 9/9