to play click on circle back to menu a b a c b a d c b a d c b d c a b c d vocab & terminology...
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Vocab &Terminology
Process to solving
Solving Solving Quadratic
formula
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Graphs
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300
What makes an equation a quadratic equation?
The equation has highest variable exponent of 2, ie. x2
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300
State the difference between a quadratic equation and the quadratic formula.
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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.
-200
Name the four ways to solve quadratic equations that we have learned.
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Square roots, Factoring, Quadratic formula and graphing.
-200
When is it possible to solve quadratic equations using square roots. What must you never forget when solving using square roots?
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When there is no middle term. The plus/minus.
400
When asked to solve a quadratic equation using the quadratic formula, what is the
first thing you should do or check?
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You should make sure the equation is in standard form.
-200
Determine the value for a, b and c in4x2 + 7x - 18 = 6
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a = 4, b = 7, c = -24
300
Name two method(s) you could use to solve the following equation:
x2 + 7x + 6 = 0
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Factoring, Quad. Formula or graphing.
-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.
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b2-4ac
a) 1 b) 2 c) 0
400
Solve using square roots or factoring:
3x2 - 27 = 0
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x = 3, x = -3
300
Solve using factoring:
3(x + 2)(x - 7) = 0
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x = -2, x = 7
400
Solve by factoring:
2c2 - 11c + 5 = 0
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c = 5, c = ½
500
Solve by factoring:
2x2 + 5x + 3
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x = -1, x = -3/2
500
Solve using square roots or factoring:
2x2 = 32
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x = -4, x = 4
200
Solve using square roots:
2(m + 3)2 = 72
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m = 3, m = -9
400
How many solutions are there to the equation?
2x2 + 4x + 2 = 0
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One solution.
-200
Solve by factoring:
9x2 + 27x = 0
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x = 0, x = -3,
400
Solve using the quadractic formula & round to nearest hundredth:
6x2 - 6x + 1 = 0
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x = 0.79, x = 0.21
25 20 40m m
-300
Solve using the quadratic formula round to the nearest hundredth:
x2 + 6x + 3 = 0
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x = -0.55, x = -5.45
300
Solve using QF.
3x2- 4x - 4 = 0
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x = 2, x = -2/3 or -0.6 rep
-200
Solve using QF round to nearest hundredth:
2x2 – 7 = 9x + 1
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x = 5.26, x = -0.76
300
Solve: How do you find the solution to a quadratic equation by graphing?
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You find the value of x where the graph touches or crosses the x-axis
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
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Open down, A of S: x=0, V=(0,-9)
400
Identify the coordinates if the vertex and give the equation for the line of symmetry
y = 5x2 + 4
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Vertex (0, 4), axis of symmetry is x = 0
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
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Open up, line of symmetry x = 2, vertex (2,0)