Pap Geometry Math Worksheet - Summer Assignment 2015 (Page 4 of 6) in pdf

Pap Geometry Math Worksheet - Summer Assignment 2015 Page 4

Examples for Summer Packet Mansfield High School

A. The five steps to solving an equation are:

 Get rid of parentheses

 Simplify the left side and the right side of the equation as much as possible, i.e. combine any

and all like terms

 Get the variable term on just one side

 Get the variable term by itself

 Solve for the variable.

Remember, you always use the opposite operation to “get rid” of something.

B. TO SOLVE AN EQUATION WITH fractions, we transform it into an equation without

fractions -- which we

know

how to solve. The technique is called clearing of fractions

Multiply both sides of the equation -- every term -- by the

LCM

of denominators. Every

denominator will then cancel. We will then have an equation without fractions.

Example:

Note that the fractions are now cleared from the equation. Now solve the problem.

C. Slope Formula

m =

Example: (1, -3) and (4, 5)

m =

D. Slope intercept formula:

y = m x + b

m is the slope and b is the y intercept

E. Point slope formula:

y – y

= m(x – x

)

Use point slope when you have a point and slope and want an equation of a line in slope intercept.

Solve the equation for y once the point(x

, y

) and slope(m) are plugged in.

Pap Geometry Math Worksheet - Summer Assignment 2015 Page 4