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### 39 Cards in this Set

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 Multiples of 2 Last digit is even Multiples of 3 Sum of digits is a multiple of 3 Multiples of 4 Last two digits are a multiple of 4 Multiples of 5 Last digit is 5 or 0 Multiples of 6 sum of digits is a multiple of 3 and lest digit is even Multiples of 9 Sum of digits is a multiple of 9 Multiples of 10 Last digit is 0 Multiples of 12 Sum of digits is a multiple of 3, Last 2 digits are a multiple of 4 Isosceles Triangle Two equal sides, two equal angles Equilateral Triangle 3 equal sides, 3 60 degree angles Order of operations PEMDAS: Parentheses, exponent, multiply, divide, addition, subtract Factoring Polynomials Classics: ab+ac = a(b+c) a<2>+2ab+b<2> = (a+b)<2> a<2>-2ab+b<2> = (a-b)<2> a<2>-b<2> = (a-b)(a+b) Simplify polynomials Multiply to eliminate parentheses & combine like terms: (3x<2>+5x)(x-1) 3x<2>(x-1) +5x(x-1) 3x<3>-3x<2>+5x<2>-5x 3x<3>+2x<2>-5x Actual number from a ratio Set up a proportion: Ratio of Boys to Girls is 3 to 4 If there are 135 boys, how many girls are there? 3/4 = 135/x 3x=4(135) x=180 Ratio OF on top, TO on bottom OF/TO Ratio of 20 oranges to 12 apples 20/12 or 5/3 Average of consecutive numbers The average of the sum of the largest and the smallest numbers: Average all consecutive integers from 13 to 77 13+77 = 90 90/2 = 45 Count consecutive numbers Integerts from A to B inclusive is B-A+1: 73 to 419 inclusive 419-73+1 = 347 Sum of consecutive numbers Sum = (average)x(no. of terms): Sum of integers 10 to 50 inclusive Average - (10+50)/2 = 30 No. of terms - (50-10)+1=41 Sum = 30x41 = 1,230 Sum of consecutive numbers from Average Sum = (average) x (no. of terms): 17.5 is the average of 24 terms the sum is 17.5x24 = 240 Common multiples Common multiple is the product. Least common multiple comes from dividing the product by common factors: 28 and 42 28x42=1,176 (28=2x2x7 42=2x3x7) 1,176/2 = 588.58/7 = 84 Common factors Break down to prime factors. Multiply shared prime factors in every possible combination: 135 and 225 135 = 3x3x3x5 225=3x3x5x5 3x3 = 9 3x5=15 3x3x5=45 Decimals to fractions use the place: .25 = 25/100 = 1/4 .5 - 5/10 = 1/2 Fractions to decimals use division 3/5 = 3.0/5 = .6 similar triangles proportional triangles, all angles are equal, sides may be different pythagorean theorum a<2> + b<2> = c<2> area of a triange bh/2 area of a parallelogram bh area of a trapezoid average of sides x h special right triangles 3-4-5 & 5-12-13 = 90 30-60-90 = 1, sq.rt. of 3, & 2 (hypotenuse) 45-45-90 = 1, 1 & sq.rt. of 2 (hypotenuse) area of a circle pi r <2> circumference of a circle 2 pi r slope of a line rise/run = delta y/delta x multiply + divide product + quotient counting possibilities be systematic calculate a probability probability = number of favorable outcomes / total possible outcomes determine a rate maintain units words / minute range number that appears most often mode positive difference between highest and lowest value median place in order + use middle number two middle numbers, use average