Understanding Equations and Operations

This video tutorial covers solving algebra word problems with variables on both sides of the equation. It explains the process of moving variables to one side, combining like terms, and balancing equations. A practical word problem involving savings is solved step-by-step, demonstrating how to set up and solve equations. The tutorial emphasizes the importance of maintaining balance in equations and changing the sign when moving terms across the equal sign.

What is the first step when solving algebra word problems with variables on both sides?

• Divide the variables

• Add the variables together

• Multiply the variables

• Move the variables to one side

When moving a variable to the other side of the equation, what must you remember to do?

• Add a coefficient

• Multiply by two

• Change its sign

• Divide by two

What happens when you combine a positive 2x and a negative 3x?

• You get a positive x

• You get a negative x

• You get zero

• You get 5x

What is the equivalent of negative x in terms of positive x?

• 0

• 5

• -x

• x

In the word problem, what does 'm' represent?

• The interest rate

• The number of months

• The amount of money Tala will have in the future

• The amount of money Tala has now

How much money does Tala add to her account each month?

• $100

• $50

• $200

• $150

What is the total amount Tala adds to her account over six months?

• $300

• $600

• $150

• $450

What operation is used to isolate 'm' in the equation 2m = 300?

• Addition

• Subtraction

• Multiplication

• Division

What is the final amount of money Tala has in her account?

• $250

• $150

• $200

• $100

Why is it important to change the sign when moving a variable across the equal sign?

• To increase the value of the variable

• To make the equation easier

• To decrease the value of the variable

• To keep the equation balanced