Formulas

Question 1

(a^m)(aⁿ)

Answer 1

a^m+n

Question 2

(ab)^m

Answer 2

(a^m)(b^m)

Question 3

ab + ac

Answer 3

a(b+c)

Question 4

(a/b) / c

Answer 4

a/bc

Question 5

a/b + c/d

Answer 5

ad + bc / bd

Question 6

a-b / c-d

Answer 6

b-a / d-c

Question 7

ab + ac / a

Answer 7

b + c, a != 0

Question 8

a(b/c)

Answer 8

ab / c

Question 9

a(b/c)

Answer 9

ac / b

Question 10

a/b - c/d

Answer 10

ad - bc / bd

Question 11

a+b / c

Answer 11

a/c + b/c

Question 12

(a/b) / (c/d)

Answer 12

ad / bc

Question 13

(aⁿ)^m

Answer 13

a^mn

Question 14

a^-n

Answer 14

1 / aⁿ

Question 15

(a/b)^-n

Answer 15

(b/a)ⁿ

or

bⁿ/aⁿ

Question 16

aⁿ / a^m

Answer 16

a^n-m

or

1/a^m-n

Question 17

a⁰

Answer 17

a⁰ = 1

IFF

a !=0

Question 18

a ^n/m

Answer 18

(a^1/m)ⁿ

or

(aⁿ)^1/m

Question 19

(a-b)²

Answer 19

a² - b²

Question 20

(a + b)²

Answer 20

a² + 2ab + b²

Question 21

(a³ + b³)

Answer 21

(a + b)(a² - ab + b²)

Question 22

(a³ + b³)

Answer 22

(a - b)(a² + ab + b²)

Question 23

Slope Formula

Answer 23

m = (y₂ - y₁) / (x₂ - x₁)

Question 24

Point Slope Form

If a line passes through (x₁, y₁) with a slope of m then what is the equation for that line?

Answer 24

y - y₁ = m(x - x₁)

Question 25

Slope Intercept Form

Answer 25

y = mx + b

Question 26

What is the Quadratic Equation?

Answer 26

Question 27

How do you find the midpoint of a line with 2 co-ordinates?

Answer 27

{ (x₁ + x₂) / 2, (y₁ + y₂) / 2 }

Question 28

Symmetry with respect to X axis

Answer 28

For eery point (x,y) on the graph there is a (x,-y)

Question 29

What is the Pythagorean Theorem?

What is it for?

Answer 29

A² + b² = c²

Used for finding sides of a right triangle

Question 30

What is the formula for finding a length of a line or distance between two points?

Answer 30

Question 31

Symmetry with respect to Y axis

Answer 31

For every point (x,y) on the graph there is a (-x,y)

Question 32

Symmetry with respect of the Origin

Answer 32

For every point (x,y) on the graph there is an (-x,-y)

Question 33

Vercical line slope

X = a

Answer 33

Undefined

Question 34

Horizontal line slope

Y = a

Answer 34

0

Question 35

Critera for Perpendicular lines

Answer 35

IIF the product of their slopes = -1

Question 36

Standard equation of a circle

Answer 36

(X - h)² + (Y - k)² = r²

Question 37

General equation of a circle

Answer 37

x² + y² + ax + by + c = 0