108 terms

2¹

2

2²

4

2⁴

16

2³

8

2⁵

32

2⁶

64

2⁷

128

2⁸

256

2⁹

512

3¹

3

3²

9

3³

27

3⁴

81

4¹

4

4²

16

4³

64

5¹

5

5²

25

5³

125

5⁴

625

10¹

10

10²

100

10³

1000

10⁴

1000 (one fewer zeros than exponent)

multiply by 5

half number and move decimal over so that the number is bigger

divide by 5

double the number and move decimal one place so the number is smaller

integer

a positive or negative whole number

|absolute value|

the number's distance from zero (the number without a negative sign)

Statement 1 alone is enough

A

Statement 2 alone is enough

B

Both statements 1and 2 have to be together to give you the answer

C

Each statement alone is enough

D

there is not enough information in the statements you give

E

multipying decimals

multiply, count up the total number of digits to the right of the decimal. Move the decimal place to the left the same number as the total (making the number smaller)

numerator

top number in a fraction

denominator

bottom number in a fraction

reciprocal

the top and bottom of a fraction switched

1/4...4/1

1/4...4/1

1/2

.5

1/3

.333333

1/4

.25

1/5

.2

1/6

.16666666

1/7

0.14

1/8

0.125

1/9

0.111

a/b x b/a

=1

compound interest formula

final = i x (1+r)ⁿ Initial investment times one pule interest rate(expressed as a decimal.... n=the number of periods (as defined by the rate)

ratios a/b=c/d

ad=bc (cross multiply)

divisible by 4?

the number created by the last two digits is divisible by 4

divisible by 6?

the number is divisible by 2 and 3

divisible by 9?

sum of the digits is divisible by 9

odd+odd

+even

odd+even

=odd

even+even

=even

odd x odd

=odd

odd x even

=even

even x even

=even

(x⁸) (x⁷)

=x⁸+⁷

x⁹÷x⁷

x⁹−⁷

(x²)⁹

x²multiplied by⁹ the two exponents only are multiplied here 2 x 9

x⁻ⁿ

1/xⁿ

(a/b)⁻ⁿ

(b/a)ⁿ

multiplying two binomials FOIL

Front,Outside, Inside and Last

(a+b)²=

=a²+2ab+b²

(a-b)²=

=a²-2ab=b²

(a+b)(a-b)=

=a²-b²

Golden rule of equation solving

What you do to one side of the, you must do to the other side.

distance=

=speed x time

speed =

=distance/time

time=

=distance/speed

finish this sentence: Solve inequalities as you would solve an equation; however, if you ever multiply/divide both sides by a negative number________

flip the inequality <>

when you have one line intersect another line, the opposite angles are

equal to each other

when you have a line going through two parallel lines - the angles at both intersections

are equal to each other

finish this sentence the sum of the lengths of any 2 sides of a triangle but be greater than

the third side

triangles equal

180°

area of triangle =

½bh

isosceles triangle

2 equal angles and 2 equal sides

equilateral triangles

three equal lengths and three equal angles -60°

pythagorean triplet 3,4...

5

pythagorean triplet 5,12...

13

pythagorean triplet 7, 24...

25

π, 3.14=

22/7

circle circumference (perimeter)=

=2πr or πd

circle area=

=πr²

two angles on the inside of the circle on the same chord (line that crosses circle) are

equal

two inscribed angles holding chords/arcs of equal length are

equal

an inscribed angle holding the diameter is a

right triangle

a central angle (one that connects to the centre of the circle) is ________ ____ _________ as an inscribed angle holding the same chord/arc

twice as large

volume of cylinder

=πr²

total surface area of cylinder=

=2πrh=2πr²

mean =

=average

median

the middle numb when data values are arranged in ascending order- when there is an even number of data values, the medians the average of the 2 middle data values

mode

most frequent (haut mode-popular)

range

the difference between the highest and the lowest data values

y-x+1

the number of integers from x to y inclusive is equal to

probability of 0

the event will not occur

probability of 1

the event must occur

probability that an event occurs=

=1-P(event A does not occur)

p (event A)=

=number of favourable outcomes/total number of possible outcomes

probability of 2 independent, unrelated events happening

the probability that both events = (probability of event A) multiplied by the (probability of event B)

slope (m)=

=rise (y₂-y₁)/run (x₂-x₁)

positive slopes rise

as you move left to right

negative slopes descend

as you move left to right

a slope of zero indicates

a horizontal line

the larger the lope

the steeper the line

horizontal lines

y (the vertical axis) =k (the slope)

vertical lines

x (the horizontal axis) = k the slope

the length of a slope=

it is a²+b²=c² √(x₂−x₁)² + (y₂-y₁)²