Solving Linear Equations with Algebra Tiles

This video tutorial by Mr. Leech covers solving linear equations using algebra tiles. It begins with an introduction to algebra tiles and their setup. The tutorial then walks through solving several equations, including 3x + 7 = 2x + 11, 5x + 2 = 3x - 8, and -3x + 5 = 8x - 6, using a step-by-step approach. The video concludes with a more advanced problem involving distribution, reinforcing the concepts learned.

What is the first step Mr. Leech suggests when setting up an equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Draw a line down the middle of the page

• Move all terms to one side

Why is it helpful to move the smaller term first when solving equations?

• It ensures the terms will be positive

• It makes the equation more complex

• It eliminates the need for addition

• It ensures the terms will be negative

What operation is used to eliminate a term from one side of the equation?

• Addition

• Subtraction

• Multiplication

• Division

In the second equation, what is the purpose of subtracting 3x from both sides?

• To add a constant to both sides

• To eliminate the x term from one side

• To make the equation more complex

• To multiply both sides by a constant

What is the result of dividing both sides of the equation by 2 in the second equation?

• x = 10

• x = -10

• x = 5

• x = -5

When solving the third equation, why is it important to move the smaller term first?

• To avoid dealing with negative terms

• To make the equation more complex

• To add a constant to both sides

• To multiply both sides by a constant

What is the final value of x in the third equation?

• x = 1

• x = -1

• x = 11

• x = -11

In the final complex equation, what is the first step to simplify the equation?

• Add a constant to both sides

• Multiply both sides by a constant

• Distribute the terms

• Move all terms to one side

What is the result of combining like terms in the final complex equation?

• 6x - 8 = 3x - 13

• 6x + 8 = 3x + 13

• 6x + 8 = 3x - 13

• 6x - 8 = 3x + 13

What is the final value of x in the final complex equation?

• x = -21

• x = 7

• x = -7

• x = 21