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# Math 101 Midterm Study Guide MAT 117

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This 4 page Study Guide was uploaded by Stephanie Holm on Tuesday October 4, 2016. The Study Guide belongs to MAT 117 at Arizona State University taught by Fishman in Fall 2016. Since its upload, it has received 44 views. For similar materials see College Algebra in Math at Arizona State University.

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Date Created: 10/04/16

College Algebra Study Guide Mid Term Exam 10/07/16 Distributive property: a(b+c)=ab+ac Multiplying with Exponents: a ∙a =am+n 1 a = am Helpful Equations to know!!: 2 2 * A −B =(A+B)(A−B) Example : v −16=v −4 2 ¿(v+4)(v−4) 2 2 2 * A +2 AB+B =(A+B) * A −2 AB+B =(A−B) 2 * √ √ B2 A2 2 * (a−b) =a −2ab+b * (A+B )(A−B )=A −B 2 2 2 * (A−B )A−B =A −2 AB+B * (A+B )(A+B =A +2 AB+B 2 √ a a * = √ b √b * For all positive real numbers, √−a=i a√ 2 * i =−1 * Anything to the power of zero equals 1… a =1 1 * a = n a am * n=a m−n a a ¿ =a mn * ¿ * Distance CANNOT be negative so… |u|= -7 --- NO SOLUTION * If B≥0 , then A=B or A=−B EXAMPLE: | 3w+6=9 3w+6=9∨3w+6=−9 Then, solve for w. So, w=1 or w=-5 *If B<0,then|A|=BhasNOsolution *Distance = rate X time y2−y 1 *Slope = ¿x −x (rise over run) 2 1 GOOD LUCK!!! College Algebra Study Guide Mid Term Exam 10/07/16 Distributive property: a(b+c)=ab+ac Multiplying with Exponents: a ∙a =am+n 1 a = am Helpful Equations to know!!: 2 2 * A −B =(A+B)(A−B) Example : v −16=v −4 2 ¿(v+4)(v−4) 2 2 2 * A +2 AB+B =(A+B) * A −2 AB+B =(A−B) 2 * √ √ B2 A2 2 * (a−b) =a −2ab+b * (A+B )(A−B )=A −B 2 2 2 * (A−B )A−B =A −2 AB+B * (A+B )(A+B =A +2 AB+B 2 √ a a * = √ b √b * For all positive real numbers, √−a=i a√ 2 * i =−1 * Anything to the power of zero equals 1… a =1 1 * a = n a am * n=a m−n a a ¿ =a mn * ¿ * Distance CANNOT be negative so… |u|= -7 --- NO SOLUTION * If B≥0 , then A=B or A=−B EXAMPLE: | 3w+6=9 3w+6=9∨3w+6=−9 Then, solve for w. So, w=1 or w=-5 *If B<0,then|A|=BhasNOsolution *Distance = rate X time y2−y 1 *Slope = ¿x −x (rise over run) 2 1 GOOD LUCK!!!

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