SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES Wednesday Sept. 9, 2015 Algebra

WARM UP  Solve 6(3 – 2x) = 54 2x/5 – x/2 = – 0.04x = x + 14 – 3x = 30 1 minute speed drill – side B

GRADE HOMEWORK

OBJECTIVES  I can solve equations with variables on both sides and identify equations that are identities or have no solution.  Essential Understanding – To solve equations with variables on both sides, you can use the properties of equality and inverse operations to write a series of simpler equivalent equations

GETTING READY

SOLVING EQUATIONS WITH VARIABLES ON BOTH SIDES

I DO….  6x + 3 = 8x - 21

YOU DO….  1. -6d = d + 4  2. 2(c – 6) = 9c + 2  3. m – 5 = 3m  4. 7k – 4 = 5k + 16

REAL WORLD PROBLEMS

YOUR TURN  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??

DISTRIBUTIVE PROPERTY

WE DO…  4(2y+1) = 2(y-13)7(4-a) = 3(a-4)

IDENTITIES

YOU TRY…  9 + 5n = 5n – x = 7x + 9 – 2x

DOL  6x – 2 = x + 13 .6b + 14 = -7 – b  -2(a – 3) = 14  Construct an equation with no solution.