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Pg 63-68

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This is a skill testing question 6 x (3 + 2) – 10 ÷ 2 = ? Which answer is correct? 5 10 15 25

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Order of Operations Hopefully you remember this: BEDMAS Brackets, Exponents, Divide, Multiply, Add, Subtract

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B – Do the operations in brackets first E – Next, evaluate any exponents D M A S Then, divide and multiply in order from left to right Then, add and subtract in order from left to right

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Why do we have to do this? We need order of operations so that everyone can get the same answer all the time!

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Adding & Subtracting with powers 3 3 + 2 3 We simply evaluate the powers before adding 3 3 + 2 3 = (3)(3)(3) + (2)(2)(2) = 27 + 8 = 35

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Adding & Subtracting with powers 3 - 2 3 We simply evaluate the powers before subtracting 3 - 2 3 = (3) - (2)(2)(2) = 3 - 8 = -5

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Adding & Subtracting with powers (3 + 2) 3 We add first since that is in the brackets (3 +2) 3 = (5) 3 = (5)(5)(5) = 125

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Are these equal? (3+2) 3 = 3 3 + 2 3

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Multiplying & Dividing with Powers [2 x (-3) 3 – 6] 2 [2 x (-3)(-3)(-3) – 6] 2 [2 x (-27) – 6] 2 [-54 – 6] 2 [-60] 2 = (-60)(-60) = 3600

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Multiplying & Dividing with Powers (18 2 + 5 0 ) 2 ÷ (-5) 3 =(324 + 1) 2 ÷ (-5) 3 =(325) 2 ÷ (-5) 3 =105625 ÷ (-125) = -845

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Solving Problems Using Powers Lyn has a square swimming pool, 2m deep with side length 4m. The swimming pool is joined to a circular hot tub, 1m deep with diameter 2m. Lyn adds 690g of chlorine to the pool and hot tub each week. This expression represents how much chlorine is present per 1 m 3 of water: The suggested concentration of chlorine is 20g/m 3 of water. What is the concentration of chlorine in Lyns pool and hot tub? Is it close to the suggested concentration

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What was the actual important info? This reps the concentration of chlorine In g/m 3 The suggested concentration is 20g/m 3 What is the concentration of her hot tub and pool?

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Basically solve the equation When an equation looks like this, first solve the numerator, and then solve the denominator, then divide.

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The suggested is 20g/m 3 so this is pretty close

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Homework Time Page 66-68 #3acegi, 4aceg, 5aceg,7, 10bdf, 12, 14ac, 18, 20

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Algebra Solving Equations October 2006 ©RSH.

Algebra Solving Equations October 2006 ©RSH.

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