2.4E Equations with variables on both sides.notebook October 27, 2015 2.4 Solving Equations with Variables on both sides Objective: Be able to solve equations with variables on both sides and be able to identify equations that are identities or have no solution. Steps for Solving Equations: 1) Use the distributive property to remove parentheses on each side 2) Combine like terms on each side­ This may now include moving equations from one side to another 3) Undo the addition or subtraction 4) Undo the multiplication or division Identity: an equation that is true for every possible value of the variable. No solution: Equation where there is no value for the variable to make it true Sep 10­12:14 PM 1 2.4E Equations with variables on both sides.notebook October 27, 2015 Oct 27­9:01 AM 2 2.4E Equations with variables on both sides.notebook October 27, 2015 Oct 27­12:52 PM 3 2.4E Equations with variables on both sides.notebook October 27, 2015 Lorelle pays someone $35 to clear her driveway when it snows. She wants to buy an electric snow blower so that she can clear her own driveway. If the area Lorelle lives has an average of 5.2 snowfalls each season, how many seasons will it take for the snow blower to pay for itself? Sep 25­10:10 AM 4 2.4E Equations with variables on both sides.notebook October 27, 2015 An office manager spent $650 on a new energy saving copier that will reduce the monthly electric bill for the office from $112 to $88. In how many months will the copier pay for itself? Sep 25­10:10 AM 5 2.4E Equations with variables on both sides.notebook October 27, 2015 Pristine printing will print business cards for $.10 each plus a setup charge of $15. The Printing Place offers business cards for $.15 each with a setup charge of $10. What number of business cards costs the same from either printer? Oct 27­9:20 AM 6 2.4E Equations with variables on both sides.notebook October 27, 2015 Oct 27­9:34 AM 7