Exploring the Complete the Square Method in Algebra

This video tutorial covers the algebraic method of completing the square to solve quadratic equations. It begins with an introduction to the necessary materials, followed by an overview of the completing the square method. The instructor provides step-by-step examples, demonstrating how to transform quadratic equations into perfect square trinomials. The video also includes solving quadratics in standard form and highlights the importance of balancing equations. Students are encouraged to practice with additional problems and round their answers to the hundredths place when necessary.

What materials are required for this lesson on completing the square?

• Calculator, graph paper, and a textbook

• Notebook, highlighter, and a protractor

• Notebook, one pen, and a ruler

• Notebook, three different colored pens, and a calculator

What is the goal when completing the square?

• To get a perfect square trinomial

• To find the roots of a linear equation

• To simplify a polynomial

• To graph a quadratic function

What is the first step in completing the square?

• Subtract the constant term from both sides

• Divide the coefficient of x by 2 and square it

• Multiply the coefficient of x by 2

• Add the constant term to both sides

In the example, what is the value of c when b is 18?

• 18

• 9

• 36

• 81

What do you do after completing the square on one side of the equation?

• Divide both sides by the same value

• Subtract the same value from the other side

• Add the same value to the other side

• Multiply both sides by the same value

What is the next step after factoring the trinomial in the equation?

• Add the constant term to both sides

• Take the square root of both sides

• Multiply both sides by the same value

• Subtract the constant term from both sides

When solving for x, what must you remember about the square root of a number?

• It has only one positive solution

• It has only one negative solution

• It has both positive and negative solutions

• It has no real solutions

What is the first step when solving quadratics in standard form by completing the square?

• Multiply the coefficient of x by 2

• Divide the coefficient of x by 2

• Move the constant term to the other side

• Add the constant term to both sides

In the example, what is the value of x when solving x^2 - 16x + 64 = 81?

• x = 9 or x = -9

• x = 16 or x = -16

• x = 17 or x = -1

• x = 8 or x = -8

When rounding solutions to the hundredths place, how many decimal places should you use?

• One

• Four

• Two

• Three