Solving Linear Equations: A Step-by-Step Approach

This video tutorial reviews solving linear equations in one variable, building on previous lessons about the addition and multiplication properties of equality. It introduces a four-step method to solve any linear equation of the form ax + B = C, where a is not zero. The method involves simplifying each side, moving variable terms to one side and constants to the other, isolating the variable, and checking the result. The tutorial includes three examples demonstrating the method in action, ensuring students understand how to apply the steps to solve equations accurately.

What properties of equality were reviewed in the previous lessons?

• Addition and Multiplication

• Addition and Subtraction

• Multiplication and Division

• Subtraction and Division

What is the first step in the four-step method to solve linear equations?

• Move all variable terms to one side

• Simplify each side separately

• Isolate the variable

• Check the result

In the four-step method, what do you do after simplifying each side separately?

• Combine like terms

• Move all variable terms to one side and constants to the other

• Check the result

• Isolate the variable

In the first example, what is the simplified form of the right side of the equation after clearing parentheses?

• 32x - 48 + 28x - 16

• 32x + 48 - 28x - 16

• 32x + 48 + 28x + 16

• 32x - 48 - 28x + 16

What is the solution to the first example equation?

• x = 20

• x = -2

• x = -20

• x = 2

In the second example, what is the simplified form of the left side of the equation after distributing 11?

• 22x + 33

• 22x - 33

• 11x + 33

• 11x - 33

What is the solution to the second example equation?

• x = 12

• x = -12

• x = -24

• x = 24

In the third example, what is the simplified form of the left side of the equation after distributing 8?

• 48x - 72

• 48x + 72

• 56x - 72

• 56x + 72

What is the solution to the third example equation?

• x = 0

• x = 1

• x = -1

• x = 2

What is the final step in the four-step method to solve linear equations?

• Simplify each side separately

• Check the result

• Move all variable terms to one side

• Isolate the variable