Arithmetic Review

Evaluating Expressions

Simplify Expressions

Exponential Expressions

Factor by GCF

Factoring Polynomials

Factoring Part 2

Factoring Special Cases

Solving Equations

Translating into numerical expressions

Inequalities

Rational Expressions

Complex Fractions

Quadratic Equations

Distance/Midpoint between two points

Slopes

Intercepts

Building the Equation of the line

Graphing Inequalities

Absolute Value Inequalities

Absolute Value Equations

Functions

Graphing Lines

System of Equations

Word Problems

Radical Expressions

Quadratic Functions

Practice Pert Tests

Evaluating Expressions

Simplify Expressions

Exponential Expressions

Factor by GCF

Factoring Polynomials

Factoring Part 2

Factoring Special Cases

Solving Equations

Translating into numerical expressions

Inequalities

Rational Expressions

Complex Fractions

Quadratic Equations

Distance/Midpoint between two points

Slopes

Intercepts

Building the Equation of the line

Graphing Inequalities

Absolute Value Inequalities

Absolute Value Equations

Functions

Graphing Lines

System of Equations

Word Problems

Radical Expressions

Quadratic Functions

Practice Pert Tests

How to solve system of equations

When you have two equations with two variables you need a system of equations.

For example:

Equation 1: X - Y = 8

Equation 2: X - 2Y= - 20

* From equation 1 solve for one variable,

(choose the easiest one to solve, in this case "X")

X= Y + 8

* Now substitute it into equation 2

X - 2Y = 20

(Y + 8 ) - 2Y= -20

-Y + 8= -20

-Y= -20 - 8

-Y= -28

Y= 28

* Find the value of "X" by substituting Y=28 into the first equation

X= 28 + 8 = 36

X= 36

* You can verify your answer by substituting your values into the original equation

36 - 28 = 8

36- 2(28) = - 20

When you have two equations with two variables you need a system of equations.

For example:

Equation 1: X - Y = 8

Equation 2: X - 2Y= - 20

* From equation 1 solve for one variable,

(choose the easiest one to solve, in this case "X")

X= Y + 8

* Now substitute it into equation 2

X - 2Y = 20

(Y + 8 ) - 2Y= -20

-Y + 8= -20

-Y= -20 - 8

-Y= -28

Y= 28

* Find the value of "X" by substituting Y=28 into the first equation

X= 28 + 8 = 36

X= 36

* You can verify your answer by substituting your values into the original equation

36 - 28 = 8

36- 2(28) = - 20