Quadratic Formula Challenge

Froggy Jumps

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Test your grasp of ax^2+bx+c = 0

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joylloyd arante

Philippines

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Froggy Jumps Quadratic Formula ChallengeOnline version Test your grasp of ax^2+bx+c = 0 by joylloyd arante 1 What is the quadratic formula used to solve ax^2 + bx + c = 0? a x = (-b ± sqrt(a^2 - 4bc)) / (2c) b x = (b ± sqrt(b^2 + 4ac)) / (2a) c x = (-b ± sqrt(b^2 - 4ac)) / (2a) 2 What is the discriminant in the quadratic formula? a a^2 - 4bc b b^2 - 4ac c b^2 + 4ac 3 Two distinct real roots occur when the discriminant is: a < 0 b = 0 c > 0 4 If the discriminant equals zero, the roots are: a x = -2a/b b the same value, x = -b/(2a) c x = -b/(a) 5 If a = 0 in ax^2 + bx + c = 0, the equation becomes what? a a quadratic still with a = 0 b a constant equation c = 0 c a linear equation bx + c = 0 6 The x-coordinate of the vertex of the parabola is: a -b/(2a) b b/(2a) c -2a/b 7 If the discriminant is negative, how many real roots exist? a One real root b No real roots (two complex roots) c Two real roots 8 Solve 2x^2 + 3x - 2 = 0 using the quadratic formula. One root is x = 0.5. What is the other root? a x = 2 b x = 1 c x = -2 9 The axis of symmetry of the parabola y = ax^2 + bx + c is: a x = b/(2a) b x = -2a/b c x = -b/(2a) 10 For a = 1, b = 0, c = -4, what are the roots? a x = 2 and x = -2 b x = 0 and x = -4 c x = 4 and x = -0

Froggy Jumps

Quadratic Formula ChallengeOnline version

Test your grasp of ax^2+bx+c = 0

by joylloyd arante

What is the quadratic formula used to solve ax^2 + bx + c = 0?

x = (-b ± sqrt(a^2 - 4bc)) / (2c)

x = (b ± sqrt(b^2 + 4ac)) / (2a)

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

What is the discriminant in the quadratic formula?

a^2 - 4bc

b^2 - 4ac

b^2 + 4ac

Two distinct real roots occur when the discriminant is:

< 0

= 0

> 0

If the discriminant equals zero, the roots are:

x = -2a/b

the same value, x = -b/(2a)

x = -b/(a)

If a = 0 in ax^2 + bx + c = 0, the equation becomes what?

a quadratic still with a = 0

a constant equation c = 0

a linear equation bx + c = 0

The x-coordinate of the vertex of the parabola is:

-b/(2a)

b/(2a)

-2a/b

If the discriminant is negative, how many real roots exist?

One real root

No real roots (two complex roots)

Two real roots

Solve 2x^2 + 3x - 2 = 0 using the quadratic formula. One root is x = 0.5. What is the other root?

x = 2

x = 1

x = -2

The axis of symmetry of the parabola y = ax^2 + bx + c is:

x = b/(2a)

x = -2a/b

x = -b/(2a)

For a = 1, b = 0, c = -4, what are the roots?

x = 2 and x = -2

x = 0 and x = -4

x = 4 and x = -0

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Quadratic Formula Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Quadratic Formula ChallengeOnline version

by joylloyd arante

What is the quadratic formula used to solve ax^2 + bx + c = 0?

What is the discriminant in the quadratic formula?

Two distinct real roots occur when the discriminant is:

If the discriminant equals zero, the roots are:

If a = 0 in ax^2 + bx + c = 0, the equation becomes what?

The x-coordinate of the vertex of the parabola is:

If the discriminant is negative, how many real roots exist?

Solve 2x^2 + 3x - 2 = 0 using the quadratic formula. One root is x = 0.5. What is the other root?

The axis of symmetry of the parabola y = ax^2 + bx + c is:

For a = 1, b = 0, c = -4, what are the roots?

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