Completing The Square Practice

Completing The Square Practice

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

Student preview

quiz-placeholder

15 questions

Show all answers

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 an expression of the form (a + b)² = a² + 2ab + b² or (a - b)² = a² - 2ab + b².

3.

FLASHCARD QUESTION

Front

How do you complete the square for the equation x² + 6x = 5?

Back

Add (6/2)² = 9 to both sides: x² + 6x + 9 = 14, which factors to (x + 3)² = 14.

4.

FLASHCARD QUESTION

Front

What value of 'c' completes the square in x² + 8x + c?

Back

c = (8/2)² = 16.

5.

FLASHCARD QUESTION

Front

Solve the equation x² + 12x + 36 = 0 by completing the square.

Back

(x + 6)² = 0, so x = -6.

6.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

7.

FLASHCARD QUESTION

Front

How do you find the roots of a quadratic equation using completing the square?

Back

Rearrange the equation to the form x² + bx = c, complete the square, and then solve for x.

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?