Solving Multi-Step Equations the Easy Way

This video tutorial focuses on solving multi-step equations. It covers the use of inverse operations, the distributive property, and combining like terms to isolate the variable term. The tutorial includes several examples demonstrating these methods, with emphasis on checking solutions to ensure accuracy. The video concludes with a summary of the techniques and a preview of the next lesson on variables on both sides of the equation.

What is the primary goal when solving a multi-step equation?

• To eliminate all numbers

• To isolate the variable term

• To add more variables

• To make both sides equal zero

Which operation would you use to solve the equation 11X + 4 = 48?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 11

• Divide both sides by 4

How can you verify that your solution to an equation is correct?

• By guessing

• By checking the solution in the original equation

• By solving a different equation

• By asking a friend

What should you do when you have like terms on one side of an equation?

• Divide them by each other

• Combine them

• Ignore them

• Multiply them by zero

In the equation 8X - 6X - 3 = -17, what is the first step?

• Combine like terms

• Add 3 to both sides

• Multiply by 2

• Divide by 3

What is the inverse operation of multiplying by a coefficient?

• Multiplying by zero

• Dividing by the coefficient

• Subtracting the coefficient

• Adding the coefficient

What is the first step when solving an equation with parentheses?

• Combine all terms

• Distribute to clear the parentheses

• Subtract all variables

• Add all numbers

In the equation 4(m + 3) = -32, what should you do first?

• Divide by 4

• Subtract 4 from both sides

• Distribute the 4

• Add 3 to both sides

When solving 2X + 3X - 40 = 10, what is the first step?

• Divide by 5

• Combine 2X and 3X

• Subtract 10 from both sides

• Add 40 to both sides

What is the final step in solving a multi-step equation?

• Check the solution

• Add all terms

• Multiply by zero

• Subtract all variables