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MultiStep Equation Notes October 28, 2014 Solving Equations The task is always to get the variable ALONE (aka ISOLATE the variable). Solving equations is basically UNDO-ing operations that are being done to the variable. Remember, whatever you do to one side, you MUST do to the other so they remain equal. 1 MultiStep Equation Notes October 28, 2014 Solving Equations Solving equations is basically UNDO-ing operations that are being done to the variable. Use opposite operations to UNDO. • Opposite of Addition is Subtraction • Opposite of Multiplication is Division **Dividing by a fraction is the same as multiplying by it's reciprocal! 2 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations like terms- terms that have the same variables raised to the same power Examples: 3 MultiStep Equation Notes October 28, 2014 4 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Distributive Property- allows you to multiply each term inside parentheses by the number outside the parentheses Examples: 5(2x + 3)= (x – 7)3= -4(8x + 9y)= 5 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Examples: c) (x – 7)3 + 5 = 2 d) 2x + 7 - 5x = 13 - 18 6 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Examples: e) 6(2x + 5) + 5(3x – 7) = 4 7 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations When solving an equation, you must distribute and/or combine like terms to simplify the equation before you solve. Examples: a) 5(2x + 3)= 25 b) -4(8x + 9)= -36 8 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Examples: f) 7(6x – 1) – 6(8x + 3) = 5 9 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Examples: g) 8(5x - 1) +3 = 19 -15 h) 4(11x + 3) + 21 = 41 5 10 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Examples: g) 8(5x - 1) +3 = 19 -15 h) 4(11x + 3) + 21 = 41 5 11 MultiStep Equation Notes October 28, 2014 Solving Multi-Step Equations Classwork: Solving Multi-Step Equations WS If you don't finish it now, it's homework! 12 Attachments 20140911 algebraic fractions.rtf