2. Algebra

Quadratics — Quiz

Test your understanding of quadratics with 5 practice questions.

Practice Questions

Question 1

Given the quadratic equation $ax^2 + bx + c = 0$, under what conditions will the equation have exactly one real solution?

Question 2

If the vertex of a parabola is at $(h, k)$, and the equation of the parabola is given by $y = a(x - h)^2 + k$, what is the axis of symmetry for this parabola?

Question 3

Consider the quadratic equation $x^2 - 10x + 24 = 0$. What are the values of $x$ that satisfy this equation?

Question 4

A ball is thrown upwards from a height of $2$ meters with an initial velocity of $10$ m/s. Its height $h$ (in meters) after $t$ seconds is given by the equation $h(t) = -5t^2 + 10t + 2$. At what time does the ball reach its maximum height?

Question 5

When completing the square for the expression $x^2 + Bx$, what term must be added to make it a perfect square trinomial?