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Step by Step Worksheet Completing the Square a not 1

Step by Step Worksheet Completing the Square a not 1

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve quadratic equations by completing the square. It begins with ensuring the equation is in standard form, then divides by the coefficient of x squared if necessary. The process of completing the square is detailed, including handling fractions. The tutorial covers factoring the equation into a perfect square trinomial and solving for x by taking square roots. Finally, it provides solutions and encourages further learning.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving a quadratic equation by completing the square?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite a quadratic equation in standard form.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What should you do if the coefficient of the quadratic term is not equal to 1?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you isolate the quadratic term when completing the square?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of adding the square of half the coefficient of x to both sides of the equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of factoring a perfect square trinomial.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the final steps to solve for x after completing the square?

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