mac1147_review_1

# mac1147_review_1 - REVIEW UNIT 1 MAC 1147 FORMULAS TO...

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REVIEW - UNIT 1 MAC 1147 FORMULAS TO MEMORIZE: if 0 if 0 xx x = < , 0 x 22 2 () 2 x yxx y y + =+ + 2 2 x y y =− + x yx y x y + 33 2 2 ( ) x y x x y y −=− ++ 2 2 ( ) x y x x y y +=+ −+ 2 23 3 3 x y x y y + + + 2 3 3 x y x y y + 2 x x = The Quadratic Formula: 2 4 2 bb a c x a −± = 1. Write without absolute value signs and simplify: (a) 2 21 1 x +− − + (b) 53 π −−− (c) 312 4 1 rr +− if 3 r > 2. Let 1 x and 3 y = . Evaluate: (a) 2 1 642 xy yx xy −+ ÷÷ −−+ (b) 12 43 x y x y + 3. Let 1 4 3 00 3 1 5 1 {2 ,, 4 ,, 8 ,,, ,, 1 6 , 0 . 6 } 30 0 5 2 A . List the elements that belong to each set: (a) Natural numbers, (b) Integers, (c) Rational numbers, (d) Irrational numbers, (e) Real numbers. 4. Perform the indicated operations and simplify: (a) 1 11 ⎛⎞ ⎜⎟ −− ⎝⎠ (b) 32 24 4 x x x + 5. Factor completely over the real numbers: (a) 4 ( 2) 6 ( 2) 2 ( 2) + (b) 42 3 41 6 4 x x (c) 12 ( d ) 52 32 4 x x

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6. Reduce the fraction to the lowest terms. Find the domain of the fraction.
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mac1147_review_1 - REVIEW UNIT 1 MAC 1147 FORMULAS TO...

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