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Square Root Property

Square Root Property

Assessment

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

Student preview

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15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the Square Root Property?

Back

The Square Root Property states that if x2=ax^2 = a , then x=±ax = \text{±}\sqrt{a} , where a is a non-negative number.

2.

FLASHCARD QUESTION

Front

How do you solve the equation x2=36x^2 = 36 ?

Back

Using the Square Root Property, the solutions are x=±6x = \text{±}6 .

3.

FLASHCARD QUESTION

Front

What is the first step in solving 3+9r2=123 + 9r^2 = 12 ?

Back

Subtract 3 from both sides to isolate the term with r: 9r2=99r^2 = 9 .

4.

FLASHCARD QUESTION

Front

What do you do after isolating r2r^2 in the equation 9r2=99r^2 = 9 ?

Back

Divide both sides by 9 to get r2=1r^2 = 1 .

5.

FLASHCARD QUESTION

Front

What are the solutions for r2=1r^2 = 1 ?

Back

The solutions are r=±1r = \text{±}1 .

6.

FLASHCARD QUESTION

Front

What is the significance of the Square Root Property in solving quadratic equations?

Back

It allows for finding solutions by taking the square root of both sides of an equation.

7.

FLASHCARD QUESTION

Front

If x2=0x^2 = 0 , what is the solution for x?

Back

The solution is x=0x = 0 .

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