Algebra Review

Algebra Review - Algebra Review for Math 130, 148, and 150...

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Algebra Review for Math 130, 148, and 150 1. Inequalities: a. x - 6 9 b. -10 < x + 3 4 2. Absolute Value: Example: x + 3 8 solve -8 x + 3 and x + 3 8, x x 5 and x -11 -14-12-10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 Practice: x - 4 4 Example: x - 2 > 3 -3 > x - 2 or x - 2 > 3, x x > 5 or x < -1
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3. Factoring Polynomials a. Special Products i. Difference of Squares: ) )( ( ) ( 2 2 b ax b ax b ax + = ii. Perfect Square Polynomial: 2 2 2 2 2 2 2 2 ) ( 2 ) ( 2 b ax b abx x a b ax b abx x a = + + = + + iii. Difference of Cubes: ) )( ( 2 2 2 3 3 3 b abx x a b ax b x a + + = iv. Sum of Cubes: ) )( ( 2 2 2 3 3 3 b abx x a b ax b x a + + = + b. Factoring Trinomials: c bx ax + + 2 i. 21 10 2 + + x x ii. 16 4 2 x iii. 15 22 5 2 + x x 4. Exponents and Roots a. Rules for Exponents b. Simplifying Radicals c. Multiplying and Dividing Radicals d. Adding and Subtracting Radicals 5. Solving Quadratic Equations a. Factoring: 2 20 100 0 xx ++= b. Root Method: 2 42 1 x −= c. Completing the Square: 2 61 4 + = d. Quadratic Formula: 2 4 + = 6. Rational Expressions a. Adding and Subtracting b. Multiplying and Dividing c. Rationalizing the Denominator 7. Functions a. Domain and Range
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Algebra Review - Algebra Review for Math 130, 148, and 150...

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