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A B A C B A D C B A D C B D C A B C D Vocab & Terminology Process to solving Solving Quadratic formula Back to menu D C B A Graphs D
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300 What makes an equation a quadratic equation? The equation has highest variable exponent of 2, ie. x 2 Click here for answer back
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300 State the difference between a quadratic equation and the quadratic formula. back Click here for answer The quadratic formula is used to solve quadratic equations for the value of x. The quadratic equation is simply an equation with a degree of 2.
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-200 Name the four ways to solve quadratic equations that we have learned. back Click here for answer Square roots, Factoring, Quadratic formula and graphing.
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-200 When is it possible to solve quadratic equations using square roots. What must you never forget when solving using square roots? back Click here for answer When there is no middle term. The plus/minus.
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400 When asked to solve a quadratic equation using the quadratic formula, what is the first thing you should do or check? back Click here for answer You should make sure the equation is in standard form.
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-200 Determine the value for a, b and c in 4x 2 + 7x - 18 = 6 back Click here for answer a = 4, b = 7, c = -24
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300 Name two method(s) you could use to solve the following equation: x 2 + 7x + 6 = 0 back Click here for answer Factoring, Quad. Formula or graphing.
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-200 What is the discriminant? State how many solutions to a quadratic equation if : a.The discriminant = 0 b.The discriminant is positive. c.The discriminant is negative. back Click here for answer b 2 -4ac a) 1 b) 2 c) 0
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400 Solve using square roots or factoring: 3x 2 - 27 = 0 back Click here for answer x = 3, x = -3
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300 Solve using factoring: 3(x + 2)(x - 7) = 0 back Click here for answer x = -2, x = 7
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400 Solve by factoring: 2c 2 - 11c + 5 = 0 back Click here for answer c = 5, c = ½
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500 Solve by factoring: 2x 2 + 5x + 3 back Click here for answer x = -1, x = -3/2
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500 Solve using square roots or factoring: 2x 2 = 32 back Click here for answer x = -4, x = 4
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200 Solve using square roots: 2(m + 3) 2 = 72 back Click here for answer m = 3, m = -9
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400 How many solutions are there to the equation? 2x 2 + 4x + 2 = 0 back Click here for answer One solution.
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-200 Solve by factoring: 9x 2 + 27x = 0 back Click here for answer x = 0, x = -3,
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400 Solve using the quadractic formula & round to nearest hundredth: 6x 2 - 6x + 1 = 0 back Click here for answer x = 0.79, x = 0.21
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-300 Solve using the quadratic formula round to the nearest hundredth: x 2 + 6x + 3 = 0 back Click here for answer x = -0.55, x = -5.45
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300 Solve using QF. 3x 2 - 4x - 4 = 0 back Click here for answer x = 2, x = -2/3 or -0.6 rep
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-200 Solve using QF round to nearest hundredth: 2x 2 – 7 = 9x + 1 back Click here for answer x = 5.26, x = -0.76
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300 Solve: How do you find the solution to a quadratic equation by graphing? back Click here for answer You find the value of x where the graph touches or crosses the x-axis
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200 Tell if the graph will open up or down, give the equation of the line of symmetry and coordinates of the vertex: y = -1/2x 2 -9 back Click here for answer Open down, A of S: x=0, V=(0,-9)
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400 Identify the coordinates if the vertex and give the equation for the line of symmetry y = 5x 2 + 4 back Click here for answer Vertex (0, 4), axis of symmetry is x = 0
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400 Tell if the graph will open up or down, give the equation of the line of symmetry and coordinates of the vertex: y = (x - 2) 2 back Click here for answer Open up, line of symmetry x = 2, vertex (2,0)
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