Completing the square.

Completing the square.

Assessment

Flashcard

Mathematics

9th - 11th Grade

Practice Problem

Hard

Created by

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?

Back

Completing the square is a method used to convert a quadratic equation into a perfect square trinomial, making it easier to solve or analyze.

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 = x² + 2ax + a².

3.

FLASHCARD QUESTION

Front

How do you find the value to complete the square for x² - 10x?

Back

Take half of the coefficient of x (which is -10), square it (25), and add it to the expression: x² - 10x + 25.

4.

FLASHCARD QUESTION

Front

What is the value needed to complete the square for x² - 14x?

Back

The value is 49, since (-14/2)² = 49.

5.

FLASHCARD QUESTION

Front

Complete the square for x² + 6x + ___.

Back

The missing value is 9, because (6/2)² = 9.

6.

FLASHCARD QUESTION

Front

Find the missing value 'c' for x² + 26x + ___.

Back

The missing value is 169, since (26/2)² = 169.

7.

FLASHCARD QUESTION

Front

What is the formula to complete the square for a quadratic equation ax² + bx + c?

Back

The formula is x = -b/(2a) ± √(b² - 4ac)/(2a).

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