Solving Linear Equations and Variables

The video tutorial explains how to solve linear equations by isolating the variable. It covers four examples: solving for m in 6m = -30, for z in 8 = -2z, for w in w/6 = 5, and for x in -2 = x/-4. Each example includes a step-by-step solution and verification process to ensure the solution is correct.

What is the first step in solving an equation?

• Add a constant to both sides

• Isolate the variable

• Multiply both sides by zero

• Subtract the variable from both sides

What operation is used to solve 6m = -30?

• Division

• Addition

• Subtraction

• Multiplication

What is the value of m in the equation 6m = -30?

• -5

• -30

• 30

• 5

How do you solve the equation 8 = -2z?

• Add 2 to both sides

• Multiply both sides by 2

• Divide both sides by -2

• Subtract 2 from both sides

What is the value of z in the equation 8 = -2z?

• 4

• -4

• 8

• -8

What operation is used to solve w/6 = 5?

• Division

• Multiplication

• Addition

• Subtraction

What is the value of w in the equation w/6 = 5?

• 6

• 30

• 1

• 5

How do you solve the equation -2 = x/-4?

• Add 4 to both sides

• Divide both sides by -4

• Subtract 4 from both sides

• Multiply both sides by -4

What is the value of x in the equation -2 = x/-4?

• -2

• 8

• 2

• -8

What is the purpose of verifying a solution?

• To simplify the equation

• To change the equation

• To find a new solution

• To check if the solution is correct