Completing the Square Practice

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
What is a perfect square trinomial?
Back
A perfect square trinomial is a quadratic expression that can be expressed as the square of a binomial. It takes the form (a ± b)² = a² ± 2ab + b².
2.
FLASHCARD QUESTION
Front
Identify the perfect square trinomial from the expression: x² - 18x + 81.
Back
(x - 9)²
3.
FLASHCARD QUESTION
Front
Identify the perfect square trinomial from the expression: x² + 14x + 49.
Back
(x + 7)²
4.
FLASHCARD QUESTION
Front
What value of 'c' makes the expression x² - 8x + c a perfect square trinomial?
Back
16
5.
FLASHCARD QUESTION
Front
Complete the square for the expression: x² - 14x + ___.
Back
49
6.
FLASHCARD QUESTION
Front
What is the first step in completing the square for the equation y² + 10y = -9?
Back
Move the constant to the other side: y² + 10y + ___ = -9 + ___.
7.
FLASHCARD QUESTION
Front
What is the formula for completing the square?
Back
To complete the square for ax² + bx + c, rewrite it as a(x + b/2a)² - (b² - 4ac)/4a.
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