Converting Equations to Standard Form

x^2 + y^2 = r^2

Ax + By = C

y = ax^2 + bx + c

y = mx + b

An exponential equation

A circle equation

A linear equation in standard form

A quadratic equation

7

5

-3

0.5

To make the equation easier to graph

To simplify calculations

To ensure the equation is linear

To avoid fractions and decimals

Divide by the fraction

Subtract the fraction from both sides

Multiply by the least common denominator

Add a constant to both sides

Add all terms to one side

Multiply by a negative number

Divide by the coefficient of x

Square both sides

To eliminate decimals

To solve for y

To make the leading coefficient positive

To simplify the equation

The equation becomes quadratic

The equation is solved for y

The signs of all terms are reversed

The equation becomes a fraction

Add decimals to both sides

Multiply by 10 or 100

Divide by the decimal

Subtract decimals from both sides

Divide by the decimal

Subtract the decimal from both sides

Multiply by the deepest decimal

Add a constant to both sides