Quadratic Equations Training

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Practice identifying and solving quadratics.

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Madi

Kazakhstan

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Quadratic Equations TrainingOnline version Practice identifying and solving quadratics. by Madi 1 Which equation is quadratic? a x^2 + 4 = 0 b x^3 - x = 0 c 2x^2 + 3x - 5 = 0 d 3x + 5 = 0 2 What is the discriminant formula for ax^2 + bx + c = 0? a 4ac - b b b^2 - 4ac c a^2 - bc d b^2 + 4ac 3 If discriminant > 0, how many real roots does the equation have? a Infinite roots b One real root c No real roots d Two real roots 4 If discriminant = 0, how many real roots does the equation have? a No real roots b Two real roots c One real root d Three real roots 5 If discriminant < 0, the roots are: a Complex pair b One real root c Two real roots d No roots 6 Solve: x^2 - 9 = 0. How many roots does it have? a Infinite roots b One root c No roots d Two roots 7 Which method is used to find roots of a quadratic without factoring? a Completing the square b Factoring c Quadratic formula d Synthetic division 8 What are the roots of x^2 - 4x + 4 = 0? a -4 and 0 b -2 and 2 c 0 and 4 d 2 and 2 9 Given 3x^2 + 2x + 1 = 0, what is the discriminant? a 431 - 2^2 = 8 b 2^2 - 431 = -8 c 2^2 - 431 = 8 d 2^2 - 431 = 0 10 Which form shows a parabola facing up when a>0? a Cubic equation b Quadratic with a>0 c Quadratic with a<0 d Linear equation

Quadratic Equations TrainingOnline version

Practice identifying and solving quadratics.

by Madi

Which equation is quadratic?

x^2 + 4 = 0

x^3 - x = 0

2x^2 + 3x - 5 = 0

3x + 5 = 0

What is the discriminant formula for ax^2 + bx + c = 0?

4ac - b

b^2 - 4ac

a^2 - bc

b^2 + 4ac

If discriminant > 0, how many real roots does the equation have?

Infinite roots

One real root

No real roots

Two real roots

If discriminant = 0, how many real roots does the equation have?

No real roots

Two real roots

One real root

Three real roots

If discriminant < 0, the roots are:

Complex pair

One real root

Two real roots

No roots

Solve: x^2 - 9 = 0. How many roots does it have?

Infinite roots

One root

No roots

Two roots

Which method is used to find roots of a quadratic without factoring?

Completing the square

Factoring

Quadratic formula

Synthetic division

What are the roots of x^2 - 4x + 4 = 0?

-4 and 0

-2 and 2

0 and 4

2 and 2

Given 3x^2 + 2x + 1 = 0, what is the discriminant?

4*3*1 - 2^2 = 8

2^2 - 4*3*1 = -8

2^2 - 4*3*1 = 8

2^2 - 4*3*1 = 0

Which form shows a parabola facing up when a>0?

Cubic equation

Quadratic with a>0

Quadratic with a<0

Linear equation

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Quadratic Equations Training

Quiz

About this activity

Created by

Download the paper version to play

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Quadratic Equations TrainingOnline version

by Madi

Which equation is quadratic?

What is the discriminant formula for ax^2 + bx + c = 0?

If discriminant > 0, how many real roots does the equation have?

If discriminant = 0, how many real roots does the equation have?

If discriminant < 0, the roots are:

Solve: x^2 - 9 = 0. How many roots does it have?

Which method is used to find roots of a quadratic without factoring?

What are the roots of x^2 - 4x + 4 = 0?

Given 3x^2 + 2x + 1 = 0, what is the discriminant?

Which form shows a parabola facing up when a>0?

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