Algebra I- Simplifying Square Roots/Review
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Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of simplifying square roots?
Back
To simplify a square root, factor the number under the root into its prime factors, and then take out pairs of factors as whole numbers.
2.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.
3.
FLASHCARD QUESTION
Front
How do you factor a quadratic expression of the form x² + bx + c?
Back
To factor, find two numbers that multiply to c and add to b, then express the quadratic as (x + m)(x + n) where m and n are those two numbers.
4.
FLASHCARD QUESTION
Front
What are the roots of the equation x² + 2x - 24 = 0?
Back
The roots are x = -6 and x = 4.
5.
FLASHCARD QUESTION
Front
What is the factored form of n² + 16n + 63?
Back
The factored form is (n + 7)(n + 9).
6.
FLASHCARD QUESTION
Front
How do you solve a quadratic equation by factoring?
Back
Set the equation to zero, factor the quadratic, and then set each factor equal to zero to solve for x.
7.
FLASHCARD QUESTION
Front
What is the factored form of x² + 9x - 36?
Back
The factored form is (x + 12)(x - 3).
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