Algebra Rules - Unit 3

Multi-Step Equations - Combine Similar Terms/2 Operations in the Equation

1. Combine similar terms 2. Circle the term that contains the variable 3. Undo the addition or subtraction FIRST 4. Undo the multiplication or division SECOND 7x - 3x - 8 = 24 4x - 8 = 24

Solving Equations using Addition and Subtraction

1. Use the inverse operation to get the variable alone. (+, -) 2. Circle the solution. 3. Check your solution. CHECK THE SOLUTION: 1. Write the original equation 2. Substitute the solution into the variable 3. Evaluate using the order of operations 4. Must have the same number on each side of the equation to show it checks EX: Solve and Check each equation x-5 = 13 x + 5 = 13

Solving Equations using Multiplication and Division

1. Use the inverse operation to get the variable alone. (x, /) 2. Circle the solution. 3. Check your solution. CHECK THE SOLUTION: 1. Write the original equation 2. Substitute the solution into the variable 3. Solve using the order of operations 4. Must have the same number on each side of the equation to show it checks 3x=15 m/2 = -3

Word Problem Solving

FIVE STEP PROCESS STEP ONE: 1. Read the problem and determine what the problem is asking you to find. WHAT TO DO: 1. Circle what you are trying to find. 2. Underline the key words to translate...facts and what you need to find. STEP TWO: 1. Develop a Plan and organize the information WHAT TO DO: 1. Define the variable in words (variable = what you are trying to find) 2. Write other expressions with the same variable to represent other facts. STEP THREE: 1. Write an equation to represent the information WHAT TO DO: 1. Translate the words in the problem to write an equation. STEP FOUR: 1. Solve the equation WHAT TO DO: 1. Undo the addition or subtraction first 2. Undo the multiplication or division second STEP FIVE: 1. Determine the solution to the problem and CHECK your work WHAT TO DO: 1. Does your answer make sense???? 1. Write a therefore statement and answer the question in words with proper labels

Solving Multi-Step Equations

HOW TO SOLVE: 1. Circle the term that contains the variable 2. Undo the ADDITION or SUBTRACTION FIRST 3. Then undo the MULTIPLICATION or DIVISION SECOND 3x + 7= -8 X/2 - 5 = 10

Equations with Fractions as Coefficients

HOW TO SOLVE: 1. Undo the fraction with the variable by MULTIPLYING BOTH SIDES OF THE EQUATION BY THE RECIPROCAL 2. Check your solution -2/5p = -12

Equation

Math sentence that contains an "=" symbol between 2 algebraic expressions. An equation has a left side and a right side Ex: x + 3 = 9 2x - 7 = -21 GOAL: to get the variable alone on one side of the equation! RULE: What you do to one side of the equation, you MUST do the same thing to the other side of the equation.

Solution or Root

The number value for the variable that makes the equation TRUE.