Solving Equations and Distributive Property

The video tutorial explains how to solve a math problem from page 149 of the homework, focusing on problem number 12. It begins with applying the distributive property to simplify the expression, followed by combining like terms on the same side of the equation. The instructor then demonstrates how to move variables to one side, specifically the left side, and finally solves the equation to find the value of R.

What is the first step when you see parentheses in an equation?

• Add the numbers inside the parentheses.

• Apply the distributive property.

• Move the parentheses to the other side.

• Ignore the parentheses.

What operation is performed when applying the distributive property to 7(R + 7)?

• 7 + R + 7

• 7 * R + 7

• 7 * R + 7 * 7

• 7 + R * 7

After applying the distributive property, what should you do next?

• Divide by the coefficient.

• Move all terms to one side.

• Add all terms together.

• Combine like terms on the same side.

When combining like terms, which terms should you focus on first?

• Constants on both sides.

• Variables on different sides.

• Variables on the same side.

• All terms at once.

What is the purpose of moving variables to one side of the equation?

• To add more variables.

• To simplify the equation.

• To make the equation longer.

• To eliminate constants.

If you move 5R to the left side, what operation do you perform?

• Subtract 5R from both sides.

• Add 5R to both sides.

• Multiply 5R on both sides.

• Divide 5R on both sides.

What should you do with constants when variables are on one side?

• Move them to the same side as variables.

• Add them to the variables.

• Move them to the opposite side.

• Ignore them.

What operation is performed to isolate the variable R in 2R = 10?

• Add 2 to both sides.

• Subtract 2 from both sides.

• Divide by 2 on both sides.

• Multiply by 2 on both sides.

What is the result of dividing 10 by 2 in the equation 2R = 10?

• R = 5

• R = 2

• R = 20

• R = 10

Why is it important to perform the same operation on both sides of an equation?

• To make the equation more complex.

• To eliminate variables.

• To add more constants.

• To keep the equation balanced.