Solving Quadratic Equations Quiz

1. Which of these is the correct rearranged form ready to solve as a quadratic equation?

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

2. Solve $x^2-2x-15=0$ by factorisation.

• A. $x=5$ or $x=-3$
• B. $x=3$ or $x=-5$
• C. $x=5$ or $x=3$
• D. $x=-5$ or $x=-3$

3. Using the quadratic formula, what are the roots of $x^2+4x+2=0$ in surd form?

• A. $x=-2\pm\sqrt{2}$
• B. $x=2\pm\sqrt{2}$
• C. $x=-4\pm\sqrt{2}$
• D. $x=-2\pm\sqrt{6}$

4. For the equation $3x^2-5x+k=0$, the discriminant equals zero. What does this tell us about the roots?

• A. There is one repeated real root
• B. There are two distinct real roots
• C. There are no real roots
• D. There are three real roots

5. Written in completed square form, $x^2-8x+18$ equals $(x-4)^2+q$. What is $q$, and what does this reveal about the graph of $y=x^2-8x+18$?

• A. $q=2$; the minimum point is $(4,2)$
• B. $q=-2$; the minimum point is $(4,-2)$
• C. $q=2$; the minimum point is $(-4,2)$
• D. $q=16$; the minimum point is $(4,16)$