Solving Equations and Operations

The video tutorial demonstrates how to solve an equation with variables in parentheses. It begins by rewriting the equation without parentheses, then combines like terms to simplify it. The instructor explains how to solve the resulting two-step equation to find the value of x, emphasizing the importance of isolating the variable and performing operations to both sides of the equation.

What is the first step in solving an equation with variables in parentheses?

• Combine like terms

• Rewrite the equation without parentheses

• Isolate the variable

• Add numbers on both sides

When rewriting an equation without parentheses, what should you ensure?

• Parentheses are removed correctly

• Variables are isolated

• The equation is balanced

• All terms are multiplied

What does the equation become after removing parentheses?

• 8x + 1 = 32

• 8x + 1 + 3x - 2 = 32

• 8x + 3x = 32

• 8x - 2 = 32

What is the purpose of rewriting the equation without parentheses?

• To remove constants

• To add more variables

• To simplify solving

• To make it more complex

What does combining like terms involve?

• Adding all numbers together

• Grouping similar variables and constants

• Subtracting variables from constants

• Multiplying terms

What is the result of combining 8x and 3x?

• 10x

• 15x

• 11x

• 5x

Why is it important to combine like terms?

• To remove constants

• To make the equation longer

• To simplify the equation

• To add more variables

What is the result of 1 minus 2 in the equation?

• 2

• 1

• 0

• -1

After combining like terms, what is the next step?

• Rewrite the equation

• Add constants on both sides

• Divide by the coefficient of x

• Isolate the variable

What operation is used to eliminate subtraction in the equation?

• Addition

• Division

• Multiplication

• Subtraction