Solving Equations with Square Roots

Flashcard
•
Mathematics
•
6th - 8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of a square root?
Back
A square root of a number x is a number y such that y² = x. For example, the square root of 16 is 4, since 4² = 16.
Tags
CCSS.8.EE.A.2
2.
FLASHCARD QUESTION
Front
What is the principal square root?
Back
The principal square root of a non-negative number is the non-negative value that, when squared, gives the original number. For example, the principal square root of 25 is 5.
Tags
CCSS.8.EE.A.2
3.
FLASHCARD QUESTION
Front
How do you solve the equation x² = a?
Back
To solve the equation x² = a, take the square root of both sides, resulting in x = ±√a.
Tags
CCSS.8.EE.A.2
4.
FLASHCARD QUESTION
Front
What is the solution to the equation √x = 4?
Back
To solve √x = 4, square both sides to get x = 4², which simplifies to x = 16.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation √x = 9?
Back
To solve √x = 9, square both sides to get x = 9², which simplifies to x = 81.
6.
FLASHCARD QUESTION
Front
What are the steps to isolate x in the equation √(x + 3) = 5?
Back
To isolate x, square both sides to get x + 3 = 25, then subtract 3 from both sides to find x = 22.
Tags
CCSS.HSA.REI.A.2
7.
FLASHCARD QUESTION
Front
What is the relationship between squaring and square roots?
Back
Squaring a number and taking the square root are inverse operations. If y = √x, then y² = x.
Tags
CCSS.HSA-REI.B.4B
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