Important Formula for class 6-O'Level

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The lastling | Themes

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Systems of linear and quadratic equations

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A  Linear Equation  is an  equation  for a  line . A  Quadratic Equation  is the equation of a  parabola and has at least one variable squared (such as x 2 ) And together they form a  System of a Linear and Quadratic Equation A  System  of those two equations can be solved (find where they intersect), either: Graphically  (by plotting them both on the  Function Grapher  and zooming in) or using  Algebra How to Solve using Algebra Make both equations into "y =" format Set them equal to each other Simplify into "= 0" format (like a standard Quadratic Equation) Solve the Quadratic Equation! Use the linear equation to calculate matching "y" values, so we get (x,y) points as answers An example will help: Example: Solve these two equations: y = x 2  - 5x + 7 y = 2x + 1 Make both equations into "y=" format: They are both in "y=" format, so go straight to next step Set them equal to each other x 2  -
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Worksheet for Agebra (equations)

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1 x + 3 = 5 x =    step-by-step 2 x + -6 = 9 x =    step-by-step 3 -32 = x + 3 x =    step-by-step 4 29 + -1x = 13 x =    step-by-step 5 46 = 47 + -1x x =    step-by-step 6 12 = -1x + 1 x =    step-by-step 7 4x = 16 x =    step-by-step 8 2x = 10 x =    step-by-step 9 10x = 130 x =    step-by-step 10 14 = -2x x =    step-by-step 11 -3 + 2x = 11 x =    step-by-step 12 4x + 6 = -10 x =    step-by-step 13 x + 9 = 18 + -2x x =    step-by-step 14 2x + 6 = 4x + -2 x =    step-by-step 15 -1x + -1 = 221 + 2x x =    step-by-step 16 15 + 5x = 0 x =    step-by-step 17 17x + -12 = 114 + 3x x =    step-by-step 18 2x + -10 = 10 + -3x x =    step-by-step 19 12x + 0 = 144 x =    step-by-step 20 -10x + -19 = 19 + -8x x = 
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