Completing the Square Problems

Completing the Square Problems

Assessment

Flashcard

Mathematics

9th 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 first step to solving the equation a² + 10a + 21 = 0 by completing the square?

Back

Subtract 21 from both sides.

2.

FLASHCARD QUESTION

Front

What do you need to add to both sides to complete the square for the expression x² - 12x?

Back

Add 36 to both sides.

3.

FLASHCARD QUESTION

Front

When factoring x² - 4x + 4 = 20, what goes in the blank? (x - __ )² = 20

Back

2

4.

FLASHCARD QUESTION

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

5.

FLASHCARD QUESTION

Front

Solve by completing the square: y² + 10y = -9

Back

y = -1 and y = -9.

6.

FLASHCARD QUESTION

Front

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

Back

(x + b/2a)² - (b² - 4ac)/4a.

7.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

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

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