FORMULAS Flashcards
Consecutive Integers
{n, n+1, n+2, n+3….}
Square root and Cube root
x² = n - square root
s²= r - cube root
addition and subtraction
- x+0 = x = x-0
- x+y = y+x
- x & y are +ve = +ve number
- x & y are -ve = -ve number
multiplication and division
- x × 1 = x = x ÷ 1
- x × 0 = 0
- x ÷ x = 1
- x ÷ 0 = undefined
- xy = yx
- x ÷ y = 1/ (y/x)
- (xy) z = x (yz)
- xy + xz = x (y + z)
- (x/y) + (z/y) = (x+z)/y
- if x and y are positive numbers then
xy = +ve - if x and y are negative numbers then , xy= +ve
- x=+ve and y= -ve
then x= negative
exponents
- x¹ = x
- x⁰ = 1
Quadratic Equation standard form and Quadratic Formula
- ax² + bx + c = 0 (standard form)
- x = -b √b² - 4ac
——————
2a
more quadratic Equation related formulas
- a² - b² = (a-b) (a+b)
- ≠ means not equal to
- > means greater than
- ≥ greater than or equal to
- < means less than
- ≤ means less than or equal to
How to solve an inequality
- to solve an inequality add or subtract the same number from both sides of the equation
coordinate plane in a linear equation form
y = mx + b
to divide two fractions what should we do ?
we have to multiply by its reciprocal (only the second fraction is reciprocaled )
if a price is discounted by n , which formula is used?
( 100 - n ) , n is the discounted price
then p = original price
multiply p with the answer we got and then take the answer to other side and divide it by the dress cost, then we get the og price
gross profit formula
- selling price - cost
Simple Annual Intrest
amount = principal × intrest rate × time