Algebra: 15 MCQs

All 15 multiple-choice questions from this kit, free and with no sign-up.

Full kit · everything

Warm-up · 5 questions

Q1. Which of the following is the standard form of a quadratic equation?

Beginner

A $ax^3 + bx^2 + cx + d = 0$

B $ax + b = 0$

C $ax^2 + bx + c = 0$

D $a x^2 + b x + c$

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Q2. What is the degree of a quadratic equation?

Beginner

A 1

B 3

C 2

D 0

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Q3. Which of the following is a quadratic equation?

Beginner

A $x^2 + 3x + 2 = 0$

B $x^3 - 1 = 0$

C $2x + 5 = 0$

D $\frac{1}{x} + x = 2$

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Q4. Which method can be used to solve a quadratic equation?

Beginner

A Factoring

B All of the above

C Quadratic formula

D Completing the square

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Q5. A quadratic equation can have at most two real roots.

Beginner

A True

B False

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Building up · 9 questions

Q6. What is the discriminant of a quadratic equation $ax^2 + bx + c = 0$?

Intermediate

A $b^2 + 4ac$

B $4ac - b^2$

C $-b \pm \sqrt{b^2 - 4ac}$

D $b^2 - 4ac$

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Q7. If the discriminant of a quadratic equation is zero, then the roots are:

Intermediate

A Complex and distinct

B Imaginary

C Real and distinct

D Real and equal

Answers and explanations are in the Veda app.

Q8. The roots of the quadratic equation $x^2 - 5x + 6 = 0$ are:

Intermediate

A 2 and 3

B -1 and -6

C -2 and -3

D 1 and 6

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Q9. Which of the following is the quadratic formula?

Intermediate

A $x = \frac{b \pm \sqrt{b^2 - 4ac}}{2a}$

B $x = \frac{-b \pm \sqrt{4ac - b^2}}{2a}$

C $x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a}$

D $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

Answers and explanations are in the Veda app.

Q10. If a quadratic equation has discriminant $D > 0$, then the roots are:

Intermediate

A Complex

B Real and equal

C Real and distinct

D Imaginary

Answers and explanations are in the Veda app.

Q11. The sum of the roots of $ax^2 + bx + c = 0$ is:

Intermediate

A $\frac{b}{a}$

B $-\frac{b}{a}$

C $-\frac{c}{a}$

D $\frac{c}{a}$

Answers and explanations are in the Veda app.

Q12. The product of the roots of $ax^2 + bx + c = 0$ is:

Intermediate

A $\frac{b}{a}$

B $-\frac{c}{a}$

C $\frac{c}{a}$

D $-\frac{b}{a}$

Answers and explanations are in the Veda app.

Q13. The equation $x^2 + 4 = 0$ has:

Intermediate

A No real roots

B Two real roots

C One real root

D Infinitely many roots

Answers and explanations are in the Veda app.

Q14. The discriminant of $x^2 + 2x + 1 = 0$ is negative.

Intermediate

A True

B False

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Topper level · 1 questions

Q15. If the roots of a quadratic equation are 3 and -2, the equation is:

Advanced

A $x^2 - x + 6 = 0$

B $x^2 - x - 6 = 0$

C $x^2 + x - 6 = 0$

D $x^2 + x + 6 = 0$

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