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 ² ( 125 8 ) 2 = 3 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 µ 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 µ 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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