Solving Multi-Step Equations

Mr. Buffington teaches how to solve multi-step equations, including those with fractions and negatives. He demonstrates the process of identifying the variable, understanding the operations applied to it, and using inverse operations to isolate the variable. The lesson includes three example equations, each increasing in complexity, and emphasizes the importance of checking solutions by substituting back into the original equation.

What is the first step in solving multi-step equations with fractions?

• Divide all terms by the largest coefficient

• Multiply all terms by zero

• Find the variable and perform inverse operations

• Add all terms together

When solving an equation, what should you do after identifying the variable?

• Perform the same operation on both sides

• Add a constant to both sides

• Multiply by the variable's coefficient

• Perform inverse operations

In the first example, what operation is performed to eliminate the fraction?

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 3 from both sides

What is the final value of X in the first example equation?

• X = 1

• X = 4

• X = 3

• X = 2

What is the final step in solving the first example equation?

• Multiply both sides by 4

• Add 4 to both sides

• Divide both sides by 4

• Subtract 4 from both sides

What is the first operation performed in the first example equation?

• Multiply both sides by 3

• Subtract 1 from both sides

• Divide both sides by 3

• Add 1 to both sides

What is the result of subtracting 1 from both sides in the first example?

• 10

• 7

• 9

• 8

What is the final operation performed in the first example equation?

• Subtract 4 from both sides

• Multiply both sides by 4

• Add 4 to both sides

• Divide both sides by 4

In the second example, what is the first operation performed to simplify the equation?

• Add 6 to both sides

• Divide both sides by 12

• Subtract 6 from both sides

• Multiply both sides by 12

What is the final value of X in the second example equation?

• X = 8

• X = 7

• X = 6

• X = 5