Rules and Axiomatics

Question 1

Distributive law

Answer 1

A(b+c)=ab+ac

A(b-c)=ab-ac

Question 2

Square root of 1

Answer 2

1

Question 3

Square root of 2

Answer 3

1.4

Question 4

Square root of 3

Answer 4

1.7

Question 5

Square root of 4

Answer 5

2

Question 6

Expressions of Quadratic Equations

1. X^2 - Y^2

Unfactored form?

Answer 6

Expressions of Quadratic Equations

1. (X+y)(x-y)

factored form?

Question 7

Expressions of Quadratic Equations

2. (X+y)^2

Unfactored form?

Answer 7

Expressions of Quadratic Equations

2. X^2 + 2xy + y^2

factored form?

Question 8

Expressions of Quadratic Equations

3. (X-y)^2

Unfactored form?

Answer 8

Expressions of Quadratic Equations

3. X^2 - 2xy + y^2

factored form?

Question 9

plugging in values

ZONE F

Answer 9

Zero
One
Negatives
Extreme values

Fractions

Question 10

Percentage increase/decrease formula

Answer 10

Percent change = difference / original x 100

Question 11

Standard deviation percentages for normal distribution

Answer 11

2%, 14%, 34%

Question 12

Triangle third side rule

Answer 12

The length of any one side of a Triangle must be less than the sum of the other two sides and greater than the difference between the other two sides

Question 13

Area of triangle

Answer 13

1/2 (base x height)

Question 14

To solve a permeation (arrangement of things in particular order)

Answer 14

1. Number of slots
2. Number of options for each slot
3. Multiply

Question 15

To solve a combination (a group without matter to order of elements)

Answer 15

1. Number of slots
2. Number of options for each slot
3. Divide by factorial of number of slots

Question 16

Group equation

Answer 16

Total = G1+G2-B+N

Question 17

most common right triangles

Answer 17

3, 4, 5
6, 8, 10
5, 12, 13

Question 18

length of diagonal of square

Answer 18

(side of square) x (square root of 2)

Question 19

height of equilateral triangle

Answer 19

(1/2 length) x (square root of 3)

Question 20

circumference of circle

Answer 20

2(radius)(pi) or (diameter)(pi)

Question 21

area of circle

Answer 21

(pi)(radius squared)

Question 22

equation of a line (slope)

Answer 22

y = mx + b

m = slope, b = y-intercept

Question 23

calculate slope

Answer 23

rise / run or (y2-y1)/(x2-x1)

Question 24

Any number divided by 0 is

Answer 24

Undefined

Question 25

When an inequality is divided by a negative number, the direction of the inequality __________

Answer 25

Reverses

Question 26

Sum of two even integers

Answer 26

Even

Question 27

Sum of two odd integers

Answer 27

Even integer

Question 28

Sum of even integer and odd integer

Answer 28

Odd integers

Question 29

Product of two even integers

Answer 29

Even

Question 30

Product of two odd integers

Answer 30

Odd integer

Question 31

Product of even integer and odd integers

Answer 31

Even integer

Question 32

Square root of A
x
Square root of B

Answer 32

Square root of A x B

Question 33

Square root of A
/
Square roof of B

Answer 33

Square root of A / B

Question 34

(A-b)^3

Answer 34

(A^3)-3((a^2)b)+(3ab^2)-(b^3)

Question 35

(A^2)-(b^2)

Answer 35

(A+b)(a-b)

Question 36

Quadratic formula

Answer 36

(-b+-(square root of b^2 -4ac)) / 2a

Question 37

Simple interest

Answer 37

P(1+rt/100)

P=principal
R=rate in decimal
T=time in years

Question 38

Compound interest

Answer 38

V=p(1+r)^t

P=principal
R=rate
T=time in years

Question 39

Compound interest at annual rate of R percent

Answer 39

V=p(1+r/100n)^nt

N=compounded n times per year