Unit 4B Flashcard Review
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the process of completing the square in a quadratic equation?
Back
Completing the square involves rewriting a quadratic equation in the form of (x + p)^2 = q, where p and q are constants. This helps in solving the equation and understanding its graph.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as (x + a)^2 = x^2 + 2ax + a^2.
Tags
CCSS.HSA.APR.C.4
3.
FLASHCARD QUESTION
Front
How do you find the value of 'c' to create a perfect square trinomial from x^2 - 8x + ___?
Back
To find 'c', take half of the coefficient of x (-8), square it: (-4)^2 = 16. Thus, c = 16.
Tags
CCSS.HSA-REI.B.4B
4.
FLASHCARD QUESTION
Front
What is the Square Root method for solving quadratic equations?
Back
The Square Root method involves isolating the x^2 term and taking the square root of both sides to find the values of x.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
Solve by the Square Root method: x^2 = 16. What are the solutions?
Back
The solutions are ±4, since taking the square root of both sides gives x = ±√16.
Tags
CCSS.HSA-REI.B.4B
6.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the roots of a quadratic equation in the form ax^2 + bx + c = 0, given by x = (-b ± √(b^2 - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
7.
FLASHCARD QUESTION
Front
How do you apply the quadratic formula to the equation x^2 + 9x + 9 = 0?
Back
Identify a = 1, b = 9, c = 9. Substitute into the formula: x = (-9 ± √(9^2 - 4*1*9)) / (2*1) = (-9 ± √45) / 2.
Tags
CCSS.HSA-REI.B.4B
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