Quadratic Equations MCQs with Answers

Past Paper MCQ

If a number is multiplied by three-fourths of itself, the result is 10700. What is the number?

• A.$60$
• B.$80$
• C.$70$
• D.$90$

Solve by factoring: $x^2 - 3x - 4 = 0$

• A.$-4$
• B.$1$
• C.$4$
• D.$-1$

The sum of the squares of two numbers is $100$. One number is $2$ more than the other. Find the larger number.

• A.$6$
• B.$8$
• C.$10$
• D.$12$

What is the standard form of a quadratic equation?

• A.$a^2x + bx + c = 0$
• B.$ax + b = 0$
• C.$ax^3 + bx^2 + cx + d = 0$
• D.$ax^2 + bx + c = 0$

Graph of a quadratic function is?

• A.Straight line
• B.Parabola
• C.Circle
• D.Hyperbola

If $\frac{1}{3}$ of a number is 3 times its reciprocal, what is the number?

• A.$9$ only
• B.$\pm 9$
• C.$3$ only
• D.$\pm 3$

If the roots of $ax^2 + bx + c = 0$ (where $a > 0$) are greater than unity, then which of the following is true?

• A.$a + b + c > 0$
• B.$a + b + c < 0$
• C.$a - b + c > 0$
• D.$a + b + c = 0$

What are the factors of $x^2 - 9x + 20$?

• A.$(x - 5)(x - 4)$
• B.$(x + 5)(x + 4)$
• C.$(x - 5)(x + 4)$
• D.$(x + 5)(x - 4)$

If $\alpha$, $\beta$ are the roots of $x^2 - 5x + k = 0$, find $k$ such that $3\alpha + 2\beta = 16$.

• A.$4$
• B.$6$
• C.$-4$
• D.$-6$

By solving $x^2 + 2x - 2 = 0$, we get _?

• A.$x = 1 \pm \sqrt{2}$
• B.$x = 1 \pm \sqrt{3}$
• C.$x = -1 \pm \sqrt{2}$
• D.$x = -1 \pm \sqrt{3}$