# Pre-Algebra Help Online

Pre-algebra is a form of mathematics used in preparing a student for the study of algebra. The subjects reviewed in pre-algebra are:- Basic Equations
- GCF and LCM
- Fractions
- Factors and Primes
- Square Roots

### Review of Pre-Algebra

Our intensive tutoring of Pre-Algebra tutoring covers topics such as:

- Factorization
- Linear equations
- Simple roots and powers
- Relations and functions
- Quadratic equations
- Variables

#### Pre Algebra Terms

There are a variety of terms utilised in pre-algebra, for example; coefficient, constant, factor, expression variable, exponent, quotient, power, absolute values, integers and others. The terms are explained as:

- Coefficient is a numerical part of a variable term.
- Expression is mathematical sentence with more than one operation
- Factor takes place when two numbers are multiplied.
- Variable represents one number or more.
- Quotient is an answer to a basic division problem.
- Power is made up of an exponent
- Exponent represents the number of times a base is used as a factor.

#### Pre Algebra Formulas

Listed below are pre algebra formulas:

#### Polynomial Factoring Formulas:

${(x + y)}^{2} = {x}^{2} +{y}^{2} +2xy $

${(x - y)}^{2} = {x}^{2} +{y}^{2} -2xy $

${x}^{2} - {y}^{2} =(x+y)(x-y) $

${x}^{3} +{y}^{3} =(x+y)({x}^{2} -xy+{y}^{2} )$

${x}^{3} -{y}^{3} =(x-y)({x}^{2} +xy+{y}^{2} ) $

#### Quadratic Formula:

The value of x for the quadratic equation, $ {ax}^{2} +bx+c=0, x\neq 0$ is $x = -b \pm b 2 \sqrt{-4ac 2a} $

#### Law of Exponent

$ {x}^{a} *{x}^{b} = {x}^{a+b} $$ {(x a )}^{b} = {x}^{ab} $

$ {(xy)}^{a} ={x}^{a} {y}^{b} $

$ {x}^{-a} = \frac{1}{{x}^{a}} $

#### Some Other Formulas:

- Area of Triangle = $\frac{1}{2} $Base * Height
- Area of a rectangle = Length * Breadth
- Area of a Square = Side * Side
- Area of a circle = $2\pi{r}^{2}, r $= radius of the circle
- Circumference of the Circle = $2\pi; r, r $= radius of the circle
- Perimeter of Square = 4Side
- Perimeter of a rectangle = 2(Length+ Breadth)
- Sum of the angles in a polygon = $(n - 2)180$, n = sides of the polygon

Math >> Pre-Algebra