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## 1 Step Equation ( Add/Sub ) Notes Advanced Absent Copy 2/7-2/8

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**17 + n + 52 = 26(2 + 1)1. When solving advanced equations**use GEMA and combined like terms on each side of the = sign first. Ex. 17 + n + 25 = 26(3) 42 + n = 782. You need to get the variable on one side of the = sign and the numbers on the other side of the = sign. Use the inverse operation on both sides of the equation. Ex: 42 + n = 78-42+ n = -42 0 363. Get a solution and check your answer. Ex: n = 36 Check: 17 + 36 + 25 = 78 78 = 78**Example 1**• Solve and Check -4 + 10 + a = -7 + -5 6 + a = -12 -6 + a = -6 0 + a = -18 a = -18 -4 + 10 + -18 = -7 + -5 -12 = -12 Solution • What do we have to combined on both sides of the equation? • Side 1 we have to combined -4 and 10. • Side 2 we have to combined -7 and • -5. • What do we do next after we have combined like terms? • We have to get aby itself so we have to use inverse opp. And subtract 6 to both sides of the equation. • How do we check the solution? We substitute -18 for aand see if each side is equal. A = -18**Example 2**• Solve and Check t – 5 + 40 = 12 - 3(1 + 2) t – 5 + 1 = 12 – 3(3) t – 5 + 1 = 12 – 9 t -4 = 3 t + +4 = +4 t + 0 = 7 t = 7 Solution 7 – 5 + 1 = 12 – 9 3 = 3 Solution • What do we do first on each side of the equation. (think of GEMA) • Side 1 we get do the exponents. • Side 2 we do the groupings. • What do we do next on side two? • We have to multiply -3(3) • What do we combined on each side of the equation? • Side 1 we combined the -5 and 1. • Side 2 we combined the 12 and -9. • What do we do next after combining like terms? • We have to get tby itself so we have to use inverse opp. And add 4 to both sides of the equation. • What do we do to check the solution? • We substitute 7 for t and see if each side is equal. T = 7**Example 3**• Solve and Check -3.09(-4 + 2) = 6.35 + x – 2.15 -3.09(-2) = 6.35 + x – 2.15 6.18 = 6.35 + x – 2.15 6.18 = 4.20 + x -4.20 = -4.20 + x 1.98 = 0 + x x = 1.98 6.18 = 6.35 + 1.98 –2.15 6.18 = 6.18 Solution • What do we do first on side one of the equation. (think of GEMA) • We have to work inside the groupings. -4 + 2 • What do we do next on side one? • We multiply -3.09(-2) • What do we combined in the equation? • We combined the 6.35 and -2.15 on side two. • What do we do next after combining like terms? • We have to get the x by itself so we use the inverse opp. And subtract 4.20 on each side of the equation. • What do we do to check the solution?We use substitution with x. X = 1.98