3-4 Solving Equations with Variables on Both Sides - Math Slide Show

Lesson 3-4 (cont.)Find the area of the square below.3(x + 2) = 3(3 + 2) = 152x + 92(3) + 9 = 153(x + 2) = 2x +92Area=s3x + 6 = 2x + 92Area = 15−2x−2xx + 6 = 9Area = 225 un−6 −6x = 32Find the value of x if the perimeter of the rectangleis equal to the perimeter of the equilateral triangle.2x + 63x - 4xP = 2l+2wP = 3sP = 2(2x + 6) + 2xP =3(3x −4)2(2x + 6) + 2x = 3(3x −4)4x + 12 + 2x = 9x − 126x + 12 = 9x −12−6x+ 12 − 6x+1224 = 3x8 = xSolve each equation below.a) 3x - 5 = 2x + 12 b) 3x + 8 = 2(x + 4) + x-2x -2x3x + 8 = 2x + 8 + xx - 5 = 123x + 8 = 3x + 8+5 +5-3x -3xx = 178 = 8 True !One SolutionIdentityx = any real numberc) 3x + 2 = 2(x - 1) + x3x + 2 = 2x - 2 + x3x + 2 = 3x - 2-3x -3x2 = -2 False !No SolutionSolve.4) 4(y - 2) + 6y = 7(y - 8) - 3(10 - y)4y - 8 + 6y = 7y - 56 - 30 + 3y10y - 8 = 10y - 86-10y -10y-88 = -86False StatementNo SolutionSolve.5) 3(4 + k) - 2(3k + 4) = 5(k - 3) - (8k - 19)12 + 3k - 6k - 8 = 5k - 15 - 8k + 19-3k + 4 = -3k + 4+3k +3k4 = 4True StatementInfinitely Many Solutionsx = any real numberSolve.2x −1=2x −35 2 3 530( 2 1 ) ( 2 3 )x − = x − 305 2 3 512x − 15= 20x −18−12x−12x− 15 = 8x −18+ 18 + 183=8x8 8x =38Pre-Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2011