Beginning Algebra Review Exam 4Material covered:
Adding and Subtraction Fractions Multiplying and Dividing Fractions Complex Fractions Solving Fractional Equations 1. Write in standard form. a. - (-7/2) b. (x - 3)/(-2) c. - ( (2-y)/3 ) 2. Reduce. a. 16/28 b. 32a³ b/36a² b³ c. (4x² + 20x + 25)/(4x² - 25) 3. Express as an equivalent fraction with indicated denominator. a. (x - 1)/(x + 2) = ?/(x² - 4) b. (x + 7)/(x - 2) = ?/(x² + x - 6) 4. Perform the indicated operations. Be sure to reduce final answer to lowest terms. a. (2x)/( 5(x + 3) ) + 6/( 5(x + 3) ) b. x/(x² - 9) - 3/(x² - 9) c. (4x)/(3y² ) + x/(6y) d. (5x)/(x² + 8x + 16) - (3x)/(x² + 6x + 8) e. (2x - 1)/(x² + 7x + 10) - (x + 1)/(x² + 8x + 15) f. (4a² )/(9b² c)(6bc² )/(5a) g. ( (15a³ b)/(7c) ) / ( (5a) /(14c² ) ) h. ( (2x + 14)/(x² + 2x - 15) )/( (x² + 8x + 7)/(x² - 2x - 3) ) i. ( (2x - 10)/(x² - 1) )( ( x² + 6x + 5)/(4x² ) )( (4)/(x² - 25) ) 5. Write as a simple fraction in lowest terms. The main fraction bar is the one in bold face type. a. (2/3)/(7/5) b. ((4x)/3)/((2x)/5) c. (x - 1/x)/(x + 1/x) 6. Use long division technique to divide each of the following. a. (2x³ + x² - 5)/(x + 3) b. (2x² - 3x + 4)/(x - 2) 7. Solve for x. a. (5x²)/8 - (3x)/4 = 1 b. 4/(x - 4) + 3/(x + 1) = 20/(x² - 3x - 4) 8. Solve each of the following stated problems. a. Antoine traveled 36 miles downstream by motorboat to visit his parents and then returned home. Antoine spent 5 hours traveling, and the speed of the current is 3 miles per hour. How fast does the motorboat travel in still water? b. It takes Professor Gilbert 3 hours to grade a set of homework papers, and it takes her teaching assistant 5 hours to grade a set. If they work together, how long will it take them to grade a set of homework papers? After carefully working out the review sheet see selected answers or go to home page. Copyright © 1995 - Present. SSmyrl |