Completing the Square Concepts

Completing the Square Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains the process of completing the square, starting with factoring out the leading coefficient to make it one. It then guides through creating a perfect square trinomial by taking half of the b value, squaring it, and adjusting the equation accordingly. The tutorial further explains how to factor the trinomial into a binomial square and simplify the expression. Finally, it demonstrates how to find the vertex and axis of symmetry of the quadratic equation.

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in completing the square when 'a' is not equal to 1?

Subtract a constant from both sides

Factor out the coefficient of x²

Multiply the equation by 2

Add a constant to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we factor out the coefficient of x² in the process of completing the square?

To find the vertex

To simplify the equation

To make 'a' equal to 1

To eliminate x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after factoring out the coefficient of x²?

Divide the equation by 2

Multiply the equation by 3

Add a constant to both sides

Create a perfect square trinomial

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you create a perfect square trinomial?

Multiply by a constant

Add and subtract the same constant

Divide by a constant

Add a constant to one side only

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the equation when you add and subtract the same constant?

It becomes a perfect square trinomial

It becomes a quadratic equation

It becomes a linear equation

It becomes a constant

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of subtracting the constant outside the parentheses?

To find the y-intercept

To eliminate x

To simplify the equation

To balance the equation

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying the added constant by the factored coefficient?

A new variable

A new coefficient

A new equation

A new constant

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