Solving Multi Step Equations Challenge

This video tutorial covers solving multi-step equations by using inverse operations and the order of operations. It explains how to combine like terms, apply the distributive property, and simplify equations. The tutorial also addresses handling fractions in equations by using common denominators to eliminate them. The goal is to simplify and solve equations effectively.

What is the first step in solving multi-step equations?

• Perform inverse operations

• Combine like terms

• Solve for the variable directly

• Apply the distributive property

Why is it important to follow the reverse order of operations when solving equations?

• To ensure the equation remains balanced

• To apply the distributive property correctly

• To simplify the equation as much as possible before solving

• To directly solve for the variable without simplification

What are like terms?

• Terms with different coefficients

• Terms on opposite sides of the equation

• Terms with the same variables and exponents

• Terms with different variables

How does the distributive property work?

• It divides terms within parentheses

• It subtracts terms outside parentheses

• It combines like terms automatically

• It multiplies the term outside the parentheses with each term inside

What is the purpose of combining like terms in an equation?

• To simplify the equation

• To make the equation more complex

• To introduce new variables

• To eliminate all variables

What does the distributive property allow you to do?

• Combine unlike terms

• Subtract terms across an equation

• Multiply a term across terms inside parentheses

• Divide terms within parentheses

What is the result of applying the distributive property to 3(x + 4)?

• 3x + 4

• 3x + 12

• 12x

• x + 7

What is the correct order to solve equations involving both the distributive property and combining like terms?

• Apply the distributive property, then combine like terms

• Combine like terms only

• Combine like terms, then apply the distributive property

• Apply the distributive property only

How can fractions be eliminated from an equation?

• By dividing each side by the common denominator

• By subtracting the common denominator

• By multiplying each side by the common denominator

• By adding the common denominator

When solving equations with fractions, what is the first step?

• Divide each side by the common denominator

• Multiply each side by the common denominator

• Apply the distributive property

• Combine like terms