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Solve for x x is the unknown number x is the variable Remember You can only do four operations to a number. 1. Add 2. Subtract are inverses 3. Multiply 4. Divide are inverses Addition combines numbers Subtraction is the addition of the opposite sign Multiplication is repeated addition Division is repeated subtraction Solve for x 1st Write the equation 2nd Think Ask yourself: What do I do next? 3rd Begin 4th Isolate the variable 5th After each step, ask yourself: What do I do next? 6th Check your answer by substituting back into your equation Steps to Solve for x. Isolate the variable by following these 3 steps 1. Work one side, then the other. Collect and combine like terms. 2. Work across the sign. Collect and combine like terms. 3. Keep the = down the center of your work Use the Properties of Real Numbers Property of Equality (Substitution – replace objects of = value) Property of Distribution Commutative Property Associative Property Follow the Order of Operation: GERMDAS G grouping symbols ER exponents radicals MD multiplication division AS addition subtraction Steps to Solve for x. Work carefully Be careful of your signs Mind the exponential powers of your variables. Distribute to each term Remember Mathematicians are Lazy! Many things in math are not written. Example: -x is actually -1 x x1 Check your answer – substitute your answer back into your equation. THINK. Does your answer make sense?