High school math quiz: Solving quadratics by taking square roots

📚 Quick Study Guide

➕ When solving quadratics by taking square roots, isolate the squared term on one side of the equation. ➗ Take the square root of both sides of the equation. Remember to consider both positive and negative roots. 📝 For an equation in the form $x^2 = a$, the solutions are $x = \sqrt{a}$ and $x = -\sqrt{a}$. 💡 If $a$ is negative, there are no real solutions. 📏 Simplify the square roots where possible.

Practice Quiz

Question 1: Solve for $x$: $x^2 = 25$ A) 5 B) -5 C) 5 and -5 D) 12.5 Question 2: Solve for $x$: $x^2 - 9 = 0$ A) 3 B) -3 C) 3 and -3 D) 9 Question 3: Solve for $x$: $2x^2 = 50$ A) 5 B) -5 C) 5 and -5 D) 25 Question 4: Solve for $x$: $(x + 1)^2 = 16$ A) 3 B) -5 C) 3 and -5 D) 15 Question 5: Solve for $x$: $4x^2 - 36 = 0$ A) 3 B) -3 C) 3 and -3 D) 9 Question 6: Solve for $x$: $3x^2 = 0$ A) 3 B) -3 C) 0 D) 1 Question 7: Solve for $x$: $x^2 + 4 = 0$ A) 2 B) -2 C) 2 and -2 D) No real solutions

Click to see Answers

1. C
2. C
3. C
4. C
5. C
6. C
7. D