Complete the Square
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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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 (x - p)² = q, where p and q are constants. This allows for easier solving and graphing.
Tags
CCSS.HSA-REI.B.4B
2.
FLASHCARD QUESTION
Front
What is the standard form of a quadratic equation?
Back
The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
How do you simplify √800?
Back
√800 = √(16 * 50) = √16 * √50 = 4√50 = 4√(25 * 2) = 4 * 5√2 = 20√2.
4.
FLASHCARD QUESTION
Front
When do you use the plus or minus symbol (±) in solving equations?
Back
The plus or minus symbol (±) is used after taking the square root of both sides of an equation, indicating that there are two possible solutions.
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What does the x-intercept of a function represent?
Back
The x-intercept of a function is the point where the graph intersects the x-axis, meaning the value of f(x) is zero.
6.
FLASHCARD QUESTION
Front
If f(x) = (x - 2)², what is the x-intercept?
Back
The x-intercept is at x = 2, since f(2) = (2 - 2)² = 0.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
7.
FLASHCARD QUESTION
Front
What are the solutions for f(x) = (x + 3)² when f(x) = 4?
Back
The solutions are x = -1 and x = -5, since (x + 3)² = 4 leads to x + 3 = ±2.
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
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