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Review I spring 2011 L1 thru L6

# Review I spring 2011 L1 thru L6 - MAC 1140 Test I Review...

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MAC 1140 Test I Review Spring 2011 L1 through L6 1. (a) Simplify the complex fraction: 3( x 2) 1 4( x + 2) 1 2( x 2 4) 1 (b) Evaluate the expression (0 : 25) 2 : 5 ( 125 8 ) 2 = 3 (5 1 = 2 ) 4 2. Find the domain and the solution set of each equation in the real number system: a) (3 x + 7) 2 = 2 b) 5 x x = 7 x 3 4 c) x 4 x = 15 x + 4 d) 2 x x 2 9 = 1 x 2 9 4 x + 3 e) 1 2( x + 1) 2 3( x 2) = 1 5( x + 1) 3. What’s the domain of the following equation? Simplify and nd the solution set of the equation. Check your answer: 3 x 2 3 x + 1 3 x = 4 x 4. Solve each inequality. Express your answer in interval notation and graph on a number line. a. 3 1 2( x + 5) 5 b. 9 j 2 x + 8 j 7 c. 7 j 2 x 3 j 1 5. Solve each compound inequality. Write your solution in interval notation and graph on a number line. If there is no solution, say so. a. 4 x + 5 4 and 3 x 1 < 7 b. 3 x 1 < 7 and 4 x + 3 > 9 6. Use the discriminant to determine the type of solution of each equation. Use the Quadratic Formula to nd the solution set.

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Review I spring 2011 L1 thru L6 - MAC 1140 Test I Review...

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