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=? =? =? =? =? =? 8 14 20 12 14 13 15 12 =2 =4 =3 =1 =5 =6 8 14 20 12 14 13 15 12 Lesson Objective Be able to write equations to describe problems Be able to solve equations with the unknown variable on one side Extend to look at solving equations with the unknown on both sides Look at the cards. Match the think of a number problem to the correct equation? Tarsia Puzzle Now can you find the number I was thinking of in each statement? Methods for solving equations: Method 1 Using inverses I think of a number times it by 3 and add 7. The answer is 40. Method 2 Rearranging I think of a number times it by 3 and add 7. The answer is 40. 1) 3x + 1 = x + 5 2) 2x + 2 = x +7 3) 4x + 1 = 2x + 9 4) 3x + 2 = x + 8 5) 3x + 1 = x + 4 6) 3x – 1 = x + 9 7) 2x - 1 = x + 7 8) 10) 3x - 1 = x + 7 11) 3x + 1 = 5x – 2 x + 2 = 2x – 1 9) 4x – 2 = x + 9 12) 3x – 2 = 5x + 1 1) 4x + 3 = 2x + 7 2) 3x + 2 = x + 7 3) 2x + 13 = 4x + 1 4) 5x – 2 = x + 8 5) 3x – 5 = x + 4 6) 2x + 10 = 4x + 9 7) x = 2x – 7 8) 10) x – 1 = 2x + 7 x + 2 = 3x – 1 11) 13x + 1 = 3x + 17 9) 5x + 2 = 14 – x 12) 4x – 4 = x + 1