Bruno Mars - Just The Way You Are http://www.youtube.com/watch?v=LjhCEhWiKXk ELTON JOHN - The One http://www.youtube.com/watch?v=9LFJNYb6y5I Adele - Rolling in the Deep http://www.youtube.com/watch?v=rYEDA3JcQqw One Is The Loneliest Number - Three Dog Night http://www.youtube.com/watch?v=d5ab8BOu4LE

The human skeleton is composed of 270 bones at birth and by the time adulthood is reached, some bones have fused together to give a total of 206 bones in the body.

Solving Equations speed drills http://www.youtube.com/watch?v=ePOZc-Ar42Q http://www.youtube.com/watch?v=js2t-IQVRE4

SOLVING MULTI-STEP EQUATIONS Algebraic Equations SOLVING MULTI-STEP EQUATIONS Powerpoint hosted on www.worldofteaching.com Please visit for 100’s more free powerpoints

Review of One-Step Equations 2x = 8 x +3 = 15 x – 5 = 20 Be sure you can solve each type of problem before we begin! Allow students time to solve equations / review answers. If students have difficulty, remediate before continuing with multi-step equations.

Multiplication with Subtraction Algebraic Equations Multiplication with Subtraction 2x – 4 = 8 +4 +4 2x = 12 2 2 x = 6

Multiplication with Addition Algebraic Equations Multiplication with Addition 5x + 10 = 80 -10 -10 5x = 70 5 5 x = 14

Multiplication with Subtraction Algebraic Equations Multiplication with Subtraction -3x – 4 = -82 +4 +4 -3x = -78 -3 -3 x = 26

Multiplication with Addition Algebraic Equations Multiplication with Addition 2/3x + 2 = 8 -2 -2 3 2 2 3 x = 6 (HINT) Reciprocal x = 18/2 = 9

Division with Addition Algebraic Equations Division with Addition x/5 + 2 = 8 -2 -2 x 5 = 6 (5) x = 30

Algebraic Equations C.L.T. ( ) 4x +6x + 20 = 80 10x + 20 = 80 -20 -20 = 10x 60 10 10 x = 6

( = ) 3x + 2x + 20 - 8 = 92 5x + 12 = 92 -12 -12 5x 80 x = 16 C.L.T. 5 Algebraic Equations C.L.T. ( ) 3x + 2x + 20 - 8 = 92 5x + 12 = 92 -12 -12 = 5x 80 5 5 x = 16

( ) ( ) = X = 55 6x + 12 = 122 + 4x 6x – 4x + 12 = 122 + 4x – 4x Algebraic Equations C.L.T. 6x + 12 = 122 + 4x ( ) ( ) 6x – 4x + 12 = 122 + 4x – 4x = 2x + 12 122 -12 -12 2x = 110 X = 55 2 2

Distributive Property Algebraic Equations Distributive Property 2(5x – 6) – 3x = 4(x + 12) – 9x 10x – 12 - 3x = 4x + 48 – 9x ( ) ( ) 10x – 3x -12 = 4x – 9x + 48 7x - 12 = -5x + 48 ( ) 7x + 5x - 12 = 48 12x - 12 = 48

Distributive Property Algebraic Equations Distributive Property 7x + 5x - 12 = 48 12x - 12 = 48 +12 +12 12x = 60 12 12 X = 5

Write the equation and solve. Algebraic Equations Write the equation and solve. 15 less than twice a number is -23. One half of the sum of a number and 8 is 20. The quotient of a number and 2 is equal to twice the number increased by 6.

Try these problems: Give students time to work independently or work with them as a large group. Next we will discuss ‘enemies’.