# Math final

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1. area of square
A = s2
2. Perimeter of a square
P = 4s
3. Area of a rectangle
A = L x W
4. Perimeter of a rectangle
P = 2L + 2W
5. Area of a Circle
A=πr2
6. Cirumference of a circle
C=2πr or C=πd
7. Diameter of a Circle
D = 2r
8. Area of a triangle
A=1/2(b)(h)
9. Pythagorean Theorem
C2 = A2 + B2
10. D
R x T
11. Volume of a Rectangle
V = LWH
12. Anything divided by zero is undefined
#/0 = undefined
13. Simple Fractions
• divide out common factor
• 15/3 (divide by 5)
14. Prime Numbers
• only divisable by 1 & itself
• 2,3,5,7,11,13
15. Composite Numbers
• can be divided by several numbers(even numbers except 2)
• 10,15,20,100,42,66....
16. Improper Fraction to Mixed Number
• Use long division to make into mixed #
• 7/3 (3 ÷ 7 = 2 r1 = 2 1/3)
17. Mixed Number to Improper Fraction
• Divided demoninator by whole number , add numerator, use same demoniator
• 5 2/3 = (3÷5 + 2= 17/3)
18. Multiplying Fractions
• multiply across (a/b * c/d)
• 5/8 * 3/4 (5*3/8*4) = 15/32

*Simplify when possible*
19. Multiplying Mixed Fractions
• Change to improper fraction, divide denominator by whole number, add numerator, use same denominator
• 4 1/2 * 5 4/5 ( 9/2*29/5)

• Cross multiply
• 9*29/2*5 = 261/10

• Convert to Mixed Fraction *if answer is improper
• 10÷261 = 26r1 = 26 1/10
20. Dividing Fractions
• to divide, flip the reciprocal, multiply
• (a/b÷c/d = a/b÷d/c)
• 5/8 ÷1/4 (5/8*4/1 = 20/8) *simplfy*
• 20/8 (divide by 4) = 5/2 *improper*
• 2 ÷5 = 2r1 2 1/2
21. Equivalent Fractions
• divide by same fraction on top & bottom with the same number
• 2/5 ( divide by 7) = 14/35
• need to have the same denominator before adding or subtracting (GCF)
• a/b + c/d = a+c/b or a/b-c/d = a-c/b
• 2/3 + 4/5 (divide all by 5) = 10/15 + 12/15 = 22/15*improper*
• 15÷22 = 1 7/15
23. Adding & Subtracting Mixed Fractions
• find common denominatior, add fraction & whole numbers
• 3 1/4 + 5 2/3 (3 3/12 + 5 8/12 = 8 11/12)

* can change to improper fraction & add*
24. Complex Fraction
• convert to nomal division, flip reciprical and multiply
• a/b/c/d = a/b ÷ c/d = a/b*d/c

5/9/1/3 (5/9÷1/3 = 5/9*3/1 = 15/1

*simplify when needed*
25. Multiplying Fractions w/ unknown veriable
• 1/4x = 3/4
• divide both sides by 4/1 = 1x=3 x=3
26. Fraction to Decimal
• convert fraction to division
• 1/3 (3÷1 = 0.333)
27. Multiplying decimals
• multiply, add number of decimal points & apply that to answer
• 1.235(3 decimal places)
• 0.4(1 decimal place)
• 4940(move 4 decimal places)
• = 0.494
28. Dividing decimals
• move decimal places from divisor to make a whole number, move the same number of place in the dividend
• .03÷15.322(move 2 places) = 3÷532.2

• move decimal to same place in the quotent
• 3÷532.2 = 177.4
29. Solving Equations (multiplying)
• move decimals, divide out
• 0.4x = 0.24 ( 40x = 24 / 40÷24 = .6)
• or
• .4x = 0.24 / .4÷0.24 = 4÷2.4 = .6

• with like veriables
• 2.5x + 1.5x = 5.24
• 4.0x = 5.24
• 4÷5.24 = 1.31
30. Solving Equations
• 4(2x-1.45) - 3(x + 8.02) = 24.9
• 8x - 5.5 - 3x -24.06 = 24.9 (Distrubte veriable)
• 5x - 29.86 = 24.9 (add like veriables)
• 5x = 54.79 (29.86+24.9)
• 5÷54.76
• x = 10.952
31. Ratios
• write ratio as fraction
• 19 to 42 = 19/42

• if number is decimal, move decimal to make number whole, add number of zeros to number of moved spaces
• 1.75/25 (2 places in num, add 2 in dem) = 175/2500

* unit rate/ unit cost means divide*
32. Proportion
• 4 cups flour is to 12 muffins as 8 cups flour is to 24 muffins
• 4/12 = 8/24
33. True Proportion
• 1/3 - 7/21( 21*1 = 21 - 7*3= 21) True
34. Solving Proportions
• cross multiply, divide
• 8/x = 12/9
• 8*9
• 72 / 72÷12
• x = 6
35. Percent as Decimal
• Move decimal place 2 times from the right
• 526% = 5.26

• if already decimal, move two places from exsisting decimal
• 0.78% = 0.078
36. Decimal to Percent
• move two spaces from the left
• 705 = 70,500%

• if already decimal, move two places from the exisiting decimal
• 0.954 = 95.4%
37. Percent as a fraction or mixed number
• make percent a fraction over 100, simplify
• 15% = 15/100(divide by 5) = 3/20
38. Fraction to percent
• long division to decimal, decimal to percent
• 6/25 ( 25÷6 = 0.24, move decimal to places = 24%)

• mixed number only change fraction portion
• 1 4/5 ( 5/4 = 0.8 = 1.80%)
39. Solving of equation or porportoion
is/of x/100
40. Simple Interest
I = p*r*t

• p = principle
• r = rate of interest (write as decimal)
• t = time in years
• I = interest
41. Tax
• tax = tax rate * subtotal (write as decimal)
• subtotal = cost + total
42. Commission
commission = total sales * commission rate (decimal)
43. Discount
• discount = price * discount rate (decimal)
• sale price = original price - discount
44. Graphing
pick point to plug into equation, (stick w/ 0,1,2,3), plot points
45. Complement
• angle equaling to 90
• 75o = 75+15 = 90
46. Supplement
• sum of angle is 180
• 125o = 125 +75 = 180
47. Triangle
sum of all sides are equal to 180
48. Acute angle
less than 90o
49. Obtuse angle
greater than 90o
50. Equations with exponents
• add like terms with similar exponents
• 11y2 - 3y + 7 + 3y2 - 7y -7
• 14y2 (11y2 + 3y2) - 10y(-3y-7y)

• if negative, distrubute negative
• (9b + 2) - (3b2 - 4b + 6)
• 9b + 2 - 3b2 + 4b - 6
51. Exponents
• add exponents with the same base, no exponent equals 1
• a3 * a * a7 = a11

• 2x * 3x2 * 4x3 = 24x6

• exponent being raised is multiplied
• (28)7 = 226

• number with coeffeciant, raise coeff by exponent, multiply exponents
• (2x5)3 = 8x15

• distribute exponents and multiply
• (2x2y)2 (y3y2)3
• 4x4y2 * x9y6
• 4x3y8
52. F.O.I.L
First, outside, inside, last

-3x(2x4 - 2x2 + 5) = -6x5 + 6x5 -15x

• (x+6) (x - 2)
• x2 - 2x + 6x - 12
• x2 + 4x - 12
53. GCF
smallest number in group or smallest multiple of the group

12, 26, 60 = GCF 12

• smallest of coeff first, then smallest of exponents
• 6m2, 2m2, 12m5 = 2m2
54. Factorization
• find smallest or coeff and undo multiplication
• 7y2 = 14y - 28 = 7(y2 + 2y - 4)
 Author: regishouse ID: 120457 Card Set: Math final Updated: 2011-12-05 10:42:46 Tags: Math 35 Folders: Description: Math 35 Show Answers: