Checkpoint: Complete The Square

Checkpoint: Complete The Square

Assessment

Flashcard

Mathematics

8th 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 a perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, typically in the form (a + b)² = a² + 2ab + b².

2.

FLASHCARD QUESTION

Front

How do you find the value of c to make x² + 8x + c a perfect square trinomial?

Back

To find c, take half of the coefficient of x (which is 8), square it: (8/2)² = 16. Thus, c = 16.

3.

FLASHCARD QUESTION

Front

Factor the perfect square trinomial x² + 16x + 64.

Back

(x + 8)².

4.

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.

5.

FLASHCARD QUESTION

Front

Factor the expression x² - 4x + 4.

Back

(x - 2)².

6.

FLASHCARD QUESTION

Front

What is the missing value to complete the square for x² - 14x + ____?

Back

49.

7.

FLASHCARD QUESTION

Front

Complete the square for x² + 12x + ____.

Back

x² + 12x + 36.

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