Square Root Property Practice
Grade 12 Math worksheet focusing on solving quadratic equations using the square root property.
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Square Root Property Practice
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Solve each quadratic equation using the square root property. Show all your work. Remember to include both positive and negative roots where applicable.
1. Solve for x: x² = 81
2. Solve for y: y² - 49 = 0
3. Solve for z: 3z² = 75
4. To solve (x - 3)² = 25, the first step is to take the of both sides.
5. The square root property can be used to solve quadratic equations in the form x² = k or .
6. Solve for a: (a + 5)² = 100
7. Solve for b: 2(b - 1)² = 72
8. Which of the following equations can be solved directly using the square root property?
x² + 2x + 1 = 0
x² - 5x = 0
(x + 4)² = 16
x² + 3x - 10 = 0
9. Solve for x: (x - 2)² - 18 = 0. Express your answers in simplest radical form.