Square Root Property Worksheet
Practice solving quadratic equations using the square root property for Grade 10 math students.
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Square Root Property Practice
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Solve each equation using the square root property. Show all your work. Simplify all radicals.
1. Solve for x: x² = 81
2. Solve for y: y² - 49 = 0
3. Solve for a: 2a² = 50
4. To solve an equation of the form x² = k, we take the of both sides.
5. When solving x² = k, there are typically solutions: a positive and a negative one.
6. Which of the following is the correct first step to solve (x - 3)² = 16?
Add 3 to both sides
Take the square root of both sides
Subtract 16 from both sides
Expand (x - 3)²
7. Solve for z: (z + 5)² = 36
8. Solve for m: (m - 1)² = 20
9. The equation x² = -9 has real solutions.
True
False
10. Solve for p: 3(p + 2)² - 75 = 0