# MTH111

 The flashcards below were created by user kfyecats on FreezingBlue Flashcards. The variable x increased by 6 x + 6 The variable x decreased by 6 x - 6 6 times the variable 6x 5 more than 3 times the variable x 3x + 5 7 more than the square root of the variable x items are in the square root box x + 7 2 less than the product of four and a number 4x - 2 The sum of 7 divided by a number and that number divided by 7 7/x + x/7 The product of 6 and a number increased by 4 is 35 6(x + 4) = 35 One less than the products of 12 and a number 12x - 1 Words meaning Addition plussummore thanincreased by Words Meaning Subtraction minusdifferenceless thandecreased by Words Meaning Multiplication timesproducttwice multiplied by Words Meaning Division dividedquotientratiodivided by = equalsgivesiswill beyieldsis the same aswas Equation x + 3 = 5 Solution value of the variable that makes the equation true Evaluate X-Y/3 when x is 10 more times than 2 times y and y = 8 x = 2y +10x = 2(8) + 10x = 16 + 10x = 2626-8/3 = 18/3 =6 If 10 is decreased to 3, the decrease is what % of the original number Formula A=P * BA=decreaseP =%B = Original Amount 10 - 3 =7A=P * B7=P *107/10 = P*10/10multiply = answer 70turn into percent. Answer 70% -n = 60 -60 Inequalities 15 + 5 ≥ 7(2x +) +9 15 + 5 ≥ 14x + 7 + 9 15x – 14x ≥ 7 + 9 – 5 X ≥ 16 – 5 X ≥ 11 [11, ∞) The angels measuure is 20 degrees more than triple its supplement x = 20 + 3(180-x)x= 20 + 540 - 3xx+3x = 20+5404x=560answer = 140 Inequality symbols ( ) parenthesis are NOT included in interval notation[ ] square brackets are inculded( ) parenthesis are always included with - infinity or positive infinity Complementary Angle 90 degrees70 degree and 20 degree are complementary to find the measurement of the complement subtract the given angle from 90 degrees. (i.e. a angle is 25 degrees)90 - 25 = 65 degrees Supplementary Angle 180 degrees One angle of a triangle is three times as large as another. the measure of the third angle is 65 degrees more than that of the smallest angle. find the measure of each angle. x + 65 x + 3x + (x + 65)=1805x + 65 = 1805x = 180 - 655x = 115x = 23 (smallest angle) The measure of the angle that is three times as large as the smallest angle is 3x3x = 3 * 23 = 69 degrees The measure of the angle that is 65 degrees more than the smallest angle is x + 65x + 65 = 23 + 65x + 65 = 88 The three angles aer: 23 + 69 + 88 = 180 degrees The measurement of the angles supplmenet is 80 degrees more than three times that of it's complement complement 90 - x supplement 180 - x 180- x = 80 + 3 * 90 - x180- x = 80 + 3(90 - x)180 - x = 80 + 270 - 3x180 - x = 350 - 3x180 - x + 3x = 350180 + 2x = 3502x = 350 - 180180 + 2x = 170 (divide)x = 85 Find the measure of the complement of a 37 degree angle Two angles are complementary if and only the sum of their measure is 90 degrees 90 - 37 = 53 degrees Measure the supplement of a 117 degree angle two angels are supplementary if and only their sum measures 180 degrees 180 - 117 = 63 degrees Linear inequality symbols ≤ - less than or equal to< - less than ≥ - greater than or equal to> - greater than∞ - infinity In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 20 degrees less than the second angle. What is the measurement of each angle? x + y + z = 1803y + y + y-20 = 1805y - 20 = 1805y = 180 - 205y = 200y = 40 x = 3 * 40 = 120 z = 40 - 20 = 20 Inconsistent equation x = x + 4use "no solution" or o Identity An equation that is true for all real numbers x + 3 = x + 2 + 1 formulas using letters only for C C + M + S (isolate the C)C + M - M = S - MC = S - M Exponents -2^4 when there is a negative , even will always result in a positive result where-as a odd number will always result in a negative Rectangle - Perimeter and Area P = 2(L+W)A=LW Square - Perimeter and Area P = 4SA = S^2 TRIANGLE Perimeter and Area P = A + B + C A = 1/2BH PARALLELOGRAM Perimeter and Area P = X(B + S)A =BH Trapezoid Perimeter and Area P = B1 + B2 + A + C (the one and two are small and on the bottom of the letter)A= 1/2H(B1 =1B2) B= BASE 1 AND BASE 2 Circle circumference and Area C = PIE (3.14)D OR C = 2(3.14)RA= 3.14(R^2) Authorkfyecats ID39209 Card SetMTH111 DescriptionAlgebra Updated2010-10-05T02:59:06Z Show Answers