2.7 Quadratic equations, inequalities and the discriminant Quiz

1. Solve $x^{2} + 2x - 15 = 0$.

• A. $x = 3$ or $x = -5$
• B. $x = -3$ or $x = 5$
• C. $x = 15$ or $x = -1$
• D. $x = -2$ or $x = 15$

2. How many real roots does $4x^{2} - 12x + 9 = 0$ have?

• A. None
• B. One repeated (two equal) root
• C. Two distinct
• D. Three

3. Solve $x^{2} - x - 6 < 0$.

• A. $x < -2$ or $x > 3$
• B. $-3 < x < 2$
• C. $-2 < x < 3$
• D. $x > 3$

4. For which values of $p$ does $x^{2} + 4x + p = 0$ have two distinct real roots?

• A. $p > 4$
• B. $p < 4$
• C. $p = 4$
• D. $p < -4$

5. Using the quadratic formula, solve $x^{2} - 2x - 2 = 0$.

• A. $x = 2 \pm \sqrt{3}$
• B. $x = -1 \pm \sqrt{3}$
• C. $x = 1 \pm \sqrt{3}$
• D. $x = 1 \pm \sqrt{12}$