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Solving Two-Step Equations Integer Review Adding and Subtracting Think Money Think Temperature -18 + 13 -5 -11 + 19 8 41 + (-63) -22 Integer Review Multiplication/Division + - -4(11) -44 Think Christmas Tree - -8(-6) 48 6(-5) -30 Brain Break Why you should like equations To solve an equation, you “undo” or do the opposite of what is told to you. 3x + 7 = 19 The problem says, multiply by 3, add 7 You being in middle school say “NO WAY” subtract 7, divide by 3 Opposite and backwards – just like most 14 year olds Solving Two-Step Equations: 2x + 5 = 19 - 5 - 5 2x = 14 2x 2 = 14 2 x = 7 It is called a two-step equation because it takes two steps to solve it “Undo” the addition first “Undo” the implied multiplication last The variable is by itself so the problem is completed Solving Two-Step Equations: 3 – a = 9 7 -3 - 3 -a = 6 7 7(-a) =(6) 7 7 -a = 42 a = -42 It is called a two-step equation because it takes two steps to solve it “Undo” the +3 first “Undo” the implied division last The variable is by itself so the problem is completed Solving Two-Step Equations Practice: 4 + 2y = 10 - 4 - 4 2y = 6 x – 6 = -12 8 +6 = +6 2y = 6 2 2 x 8 y = 3 8(x) 8 = -6 = (-6) 8 x = -48 Solving Two-Step Equations Practice: -10 + 2y = 12 +10 +10 2y = 22 2y = 22 2 2 x = 11 9z + 4 – 8 = 5.4 5 +8 +8 9z + 4 = 13.4 5 Multiply by 5 9z + 4 = 67 Add 4 9z = 63 Divide by 9 z = 7 Solving Two-Step Equations Practice: 4(17 – x = ) (-10 )4 4 17 – x = -40 -17 = -17 -x = -57 x = 57 0.2y – 3 = 12 + 3 +3 0.2y = 15 0.2y = 15 0.2 0.2 y = 75 Find a Match Activity You and your 11 o’clock partner will need to: Obtain a “find a match” paper Work out the problems on the paper Go around the room to find the words that match the numbers you have Homework: worksheet 100 ON YOUR OWN!