Quadratic Equations
8 minFull explanation, worked examples & memory tricks in the app
Kit Library / Mathematics / Algebra
⚡ Topic Learning KitAlgebra
English 15 leveled MCQs Free
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All 15 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.
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
$a x^2 + b x + c$
Answers and explanations are in the Veda app.
Q2. What is the degree of a quadratic equation?
Beginner
A
1
B
3
C
2
D
0
Answers and explanations are in the Veda app.
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
$\frac{1}{x} + x = 2$
Answers and explanations are in the Veda app.
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
Answers and explanations are in the Veda app.
Q5. A quadratic equation can have at most two real roots.
Beginner
A
True
B
False
Answers and explanations are in the Veda app.
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
$b^2 - 4ac$
Answers and explanations are in the Veda app.
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
Answers and explanations are in the Veda app.
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
Answers and explanations are in the Veda app.
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
$x^2 + x + 6 = 0$
Answers and explanations are in the Veda app.
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