Solving Linear Equations

1.3: Solving Linear Equations ,[object Object],[object Object],[object Object]

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Throughout Algebra 2, you will hear many different terms being used to describe the parts of an equation or expression. You will need to know the definition of the following terms throughout the course.

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Variable: A letter which is used to represent an unknown number or value. Any letter can be used as a variable.

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Coefficient: The number in front of a variable in a mathematical equation or expression. The coefficient is actually being multiplied by the variable Coefficient: 3 Means: 3 times x Coefficient: ¼ Means: ¼ times x 2

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Constant: A number being added or subtracted from a variable in an equation or expression. The constant in the above expression is: 9

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Expression: Contains at least one variable. ,[object Object]

Review of Terms ,[object Object],[object Object],[object Object],[object Object],[object Object],Equation: A sentence that states that two mathematical expressions are equal. ,[object Object]

Steps to Solving Linear Equations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Simplify: Use the distributive property ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Simplify: Combine like terms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Isolate Variables: Undo the addition ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Isolate Variables: Undo the multiplication ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Check your answer: Substitute the value of x back in ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],The answer is true; therefore, the vale of x is true. EXAMPLE :

Move Variables: Move the -15x to the other side of the equation. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

The answer is true; therefore, the vale of x is true. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Isolate Variables: Undo the division ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],EXAMPLE :

Solving Linear Equations

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Solving Linear Equations