FORMULAS for use on MATH 110 quizzes/tests (YOU WILL RECEIVE A CLEAN COPY OF THIS HANDOUT TO USE ON QUIZZES AND TESTS) Linear Equations Distance: ) = ./ (r=rate, t=time) = + Slope-intercept form: Point-slope form: − = − Standard form: + = Slope: = Other Formulas Temperature: ℉ = 1 ℃ + 32 2 Pythagorean Theorem: Laws of Exponents " ∙ = = = ≠ 0 = 1 ≠ 0 = "6 + 6 = 7 6 = ∙ ≠ 0 = ≠ 0 If √ is a real number, " and positive integers >1 and#" in lowest terms, then: = √ Right Triangle 7 = $ = % √ & √ = " ' ()) √ = || " ' +,+- Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Square 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 Cube 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 FORMULAS for use on MATH 110 quizzes/tests (YOU WILL RECEIVE A CLEAN COPY OF THIS HANDOUT TO USE ON QUIZZES AND TESTS) Quadratic Formula Factoring Always check to see if you can factor out a greatest common factor before you do any other factoring!! "6 + 2" + 6 = " + 6 "6 − 2" + 6 = " − 6 "6 − 6 = " + " − "6 + 6 =PRIME (does not factor) Note: This is true, ONLY IF the greatest common factor has already been factored out. "8 + 8 = " + "6 − " + 6 "8 − 8 = " − "6 + " + 6 If " 6 + + 7 = 0 and " ≠ 0 then − ± √ 6 − 4"7 = 2" Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Square 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 Cube 1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000