Solving Multi-Step Equations

This tutorial covers solving multi-step equations with variables on one side. It provides a step-by-step approach to solving equations, including handling fractions and parentheses. The video includes four examples, each demonstrating different scenarios such as equations without fractions or parentheses, using distribution, and dealing with fractions. The tutorial emphasizes verifying solutions using the substitution property.

What is the primary goal when solving multi-step equations?

• To simplify the equation to a single number

• To make both sides of the equation identical

• To eliminate all numbers

• To find the value of the variable

In Example 1, what is the first step taken to solve the equation?

• Distribute parentheses

• Combine like terms

• Remove fractions

• Add numbers to both sides

How do you verify the solution of an equation?

• By checking if the variable equals zero

• By substituting the solution back into the original equation

• By comparing it to another equation

• By solving the equation again

In Example 2, what operation is used to remove parentheses?

• Subtraction

• Addition

• Division

• Multiplication

What is the result of verifying the solution in Example 2?

• The solution needs adjustment

• The solution is correct

• The solution is partially correct

• The solution is incorrect

In Example 3, what is the first step when dealing with fractions?

• Subtract fractions from both sides

• Add fractions to both sides

• Multiply both sides by the denominator

• Divide both sides by the numerator

What is the final solution for x in Example 3?

• x = 6

• x = 3

• x = -3

• x = -6

In Example 4, how is the equation simplified after removing fractions?

• By adding terms

• By distributing and combining like terms

• By dividing terms

• By subtracting terms

What is the final solution for x in Example 4?

• x = -3

• x = 3

• x = -6

• x = 6

What is the purpose of verifying solutions in multi-step equations?

• To compare with other equations

• To simplify the equation further

• To find alternative solutions

• To ensure the solution is correct