Quadratic Real Roots Quiz

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Solve quadratics in real numbers

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Rasha Teleb

Egypt

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AsterQuiz Quadratic Real Roots QuizOnline version Solve quadratics in real numbers by Rasha Teleb 1 For ax^2+bx+c=0 (a≠0), what must the discriminant be for real roots? a b^2-4ac < 0 b b^2-4ac ≥ 0 c b^2-4ac ≤ 0 2 Sum of the roots of ax^2+bx+c=0 is equal to? a −b/a b b/a c c/a 3 Product of the roots of ax^2+bx+c=0 is equal to? a c/a b −b/a c a/c 4 If the discriminant is positive, the equation has how many real roots? a No real roots b Two distinct real roots c One repeated real root 5 If the discriminant is zero, the equation has how many real roots? a No real roots b Two distinct real roots c One real repeated root 6 Solve x^2-4=0; the roots are? a −4 and 4 b −2 and 2 c 0 and 4 7 Completing the square converts ax^2+bx+c to which form? a (ax+b)^2+c b a(x+h)^2+k with h=−b/(2a) c a(x−b)^2+c 8 What must be true about a in ax^2+bx+c=0 to be a quadratic? a c ≠ 0 b a ≠ 0 c b ≠ 0 9 If a=1, b=3, c=1, how many real roots does x^2+3x+1=0 have? a No real roots b One real root c Two real roots 10 For ax^2+bx+c=0, the x-coordinate of the vertex is? a b/(2a) b −a/(2b) c −b/(2a)

AsterQuiz

Quadratic Real Roots QuizOnline version

Solve quadratics in real numbers

by Rasha Teleb

For ax^2+bx+c=0 (a≠0), what must the discriminant be for real roots?

b^2-4ac < 0

b^2-4ac ≥ 0

b^2-4ac ≤ 0

Sum of the roots of ax^2+bx+c=0 is equal to?

−b/a

b/a

c/a

Product of the roots of ax^2+bx+c=0 is equal to?

c/a

−b/a

a/c

If the discriminant is positive, the equation has how many real roots?

No real roots

Two distinct real roots

One repeated real root

If the discriminant is zero, the equation has how many real roots?

No real roots

Two distinct real roots

One real repeated root

Solve x^2-4=0; the roots are?

−4 and 4

−2 and 2

0 and 4

Completing the square converts ax^2+bx+c to which form?

(ax+b)^2+c

a(x+h)^2+k with h=−b/(2a)

a(x−b)^2+c

What must be true about a in ax^2+bx+c=0 to be a quadratic?

c ≠ 0

a ≠ 0

b ≠ 0

If a=1, b=3, c=1, how many real roots does x^2+3x+1=0 have?

No real roots

One real root

Two real roots

For ax^2+bx+c=0, the x-coordinate of the vertex is?

b/(2a)

−a/(2b)

−b/(2a)

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Quadratic Real Roots Quiz

AsterQuiz

About this activity

Created by

Download the paper version to play

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Quadratic Real Roots QuizOnline version

by Rasha Teleb

For ax^2+bx+c=0 (a≠0), what must the discriminant be for real roots?

Sum of the roots of ax^2+bx+c=0 is equal to?

Product of the roots of ax^2+bx+c=0 is equal to?

If the discriminant is positive, the equation has how many real roots?

If the discriminant is zero, the equation has how many real roots?

Solve x^2-4=0; the roots are?

Completing the square converts ax^2+bx+c to which form?

What must be true about a in ax^2+bx+c=0 to be a quadratic?

If a=1, b=3, c=1, how many real roots does x^2+3x+1=0 have?

For ax^2+bx+c=0, the x-coordinate of the vertex is?

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