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Complement
all angles add up to 90^{o}

Supplement
angles add up to 180^{o}

Units
 4 quarts  1 gallon
 12 in  1 ft
 60 mins  1 hr
 60 sec  1 min
 365 days  1 yr
 56 wks  1 yr
 12 mo  1 yr

Volume of retangle
L x W x H

Big Unit to Small Unit
multiply

Small Unit to Big Unit
Divide

Scientific Notation
 smaller number (with or without decimal) is a negative number ( 0.000059)
 Larger number is a positive (5.6666)

Pythaguem Therm
a^{2} + b^{2} = c^{2}


(4y6) (6y2)
24y^{2 } 8y 36y + 12

15x^{4}y^{5}
5x^{2}y^{3}
 3x^{2}y^{2}
 reduce 15 & 5, canx smallest exponent

(6x^{2}y^{3}z)^{2}
 36x^{4}y^{6}z^{2}
 distrubute outside exponent

10^{2}  9^{2}
100  81 = 181

4/5 ÷ 1/2 x 1/4
 4/5 x 2/1 x 1/4 = 2/5
 flip reciprical, multiply from L  R

(a^{5})^{3} (a^{4})^{2}
 a^{15}a^{8} = a^{23}
 distribute outer exponent, add final exponents

5 builings with 3 floors, how many floors are there?
 5 x 3 = 15 floors
 multiplication

58 x (15) ÷ (3)
 3 x (15) ÷ (3)
 3 x (15) ÷ (3)
 45 ÷ (3)
 15
 PEMDAS

One candy bar is $1.26. You want 300. How much will that cost?
1.26 x 300 = $378

1 inch is 4 miles, how many inches in 500 miles?
1/4 = x/500

0.56% to decimal
 .0056
 move two spaces to the left

.0056 to percent
 56%
 move two spaces to the right

2^{4}
 16
 dont include negative in multiplication

(3)^{4}
 81
 include negative in multiplication

0.000075 in scientific notation
 7.5 x 10^{5}
 move over 5 spaces, times by 10




fraction to decimal 5/3
3 ÷ 5 = 1.6

5x  2y^{2}
x = 7, y = 3
 (5)(7)  2(3)^{2}
 35  2(9)
 35  18
 17


8z^{0}
 8
 if not in ( ), ^{0 }only applies to the number or letter in front of it



Find GCF: 16x^{3}, 32x^{5}
 16x^{3}
 find the least common multiple of the numbers, use the smallest exponent


of 600 people in a class, 2/3 pass. How many people passed the class?

16 1/4  5 1/6
 65/4  31/6
 390/24  124/24
 266/24

five times the sum of a number and two equals negative seven
5(x + 2)= 7

Leg 3 , Leg 4
 3^{2 }+ 4^{2} = c^{2}
 9 + 16 = 25
 c^{2} = 5

Factor : 16x^{2} + 12x^{2}
4x^{2}(4 + 3x)

Factor: 17a^{2}b + 3a^{4}b^{2}
 a^{2}b(17 + 3a^{2}b)
 nothing factors into 17 & 3 so factor our the variables

(4x^{2}3x+2) + (5x^{2}6)
9x^{2 } 3x  4

(6x^{2}  3x + 2)  (11y^{2} = 7x 4)
 6x^{2}  3x + 2 11y^{2} + 7x  4
 5x^{2}  10x + 6
 distruibute negative, combine like variable

4x + 16 = 4(x + 3)
 4x + 16 = 4x + 12 ( distribute 4, subtract 4)
 8x + 16 = 12( subtract 16)
 8x =4 ( divide 8)
 x = 1/2

6(x + 3)  8 = 2+ 5x
 6x + 18  8 = 2 + 5x
 6x + 10 =2 + 5x
 x + 10 = 2
 x = 8

2 rooms with total capicity of 350. Room 1 can hold 50 more than room 2.
 x + 50 + x = 350
 2x + 50 = 350


