Solving Multi-Step Equations Challenge

This video tutorial covers solving multi-step equations, emphasizing the process of isolating variables and using inverse operations. It explains the steps involved, such as drawing a line through the equal sign, simplifying each side, and moving terms. The tutorial includes example problems and addresses special cases like equations with no solution or infinite solutions.

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

• Draw a line through the equal sign

• Move the terms

• Label the sides

• Simplify each side

What does it mean to simplify each side of an equation?

• Combine like terms

• Move the variable to one side

• Multiply or divide terms

• Add or subtract terms

In the example problem, what operation is used to move -3x to the other side?

• Multiply by 3

• Divide by 3

• Add 3x

• Subtract 3x

What is the coefficient in the term 2x?

• 0

• 1

• 2

• x

How do you check the solution of an equation?

• By dividing both sides by the coefficient

• By plugging the solution back into the original equation

• By moving terms to one side

• By simplifying the equation

What should you do if you have variables and numbers on both sides of the equation?

• Add the variables together

• Subtract the numbers from both sides

• Simplify each side separately

• Move all variables to one side and all numbers to the other

What does it mean if you end up with a statement like 0 = 0?

• The equation is incorrect

• There is one solution

• There are infinitely many solutions

• There is no solution

What does it mean if you end up with a statement like 0 = -8?

• The equation is incorrect

• There is no solution

• There is one solution

• There are infinitely many solutions

In problem number 7, what is the first step after drawing the line through the equal sign?

• Simplify each side

• Move the variables to one side

• Distribute the 2

• Combine like terms

In problem number 8, what does it mean if both sides of the equation are equal after moving terms?

• There is no solution

• There are infinitely many solutions

• The equation is incorrect

• There is one solution