Multi-Step Equations

The video tutorial explains how to solve multi-step equations using the distributive property. It begins with an introduction to the distributive property, followed by examples demonstrating its application in solving equations. The tutorial provides step-by-step solutions to equations, emphasizing the importance of simplifying expressions, combining like terms, and isolating the variable. The video concludes with a summary of the key steps involved in solving equations using the distributive property.

What does the distributive property allow you to do with a number and a sum inside parentheses?

• Multiply the number by each term inside the parentheses

• Add the number to each term inside the parentheses

• Subtract the number from each term inside the parentheses

• Divide the number by each term inside the parentheses

In the equation 4(X + 5) + 3X = 27, what is the first step to simplify it using the distributive property?

• Subtract 3X from 27

• Divide 27 by 4

• Add 5 to 3X

• Multiply 4 by X and 5

After using the distributive property on 4(X + 5) + 3X = 27, what is the next step?

• Combine like terms

• Subtract 5 from both sides

• Multiply both sides by 4

• Add 3X to both sides

In the equation 5X + 7(2X + 3) = 78, what is the result of applying the distributive property to 7(2X + 3)?

• 14X + 3

• 7X + 6

• 5X + 21

• 14X + 21

What is the final step to solve the equation 19X + 21 = 78?

• Divide both sides by 19

• Multiply both sides by 19

• Subtract 21 from both sides

• Add 21 to both sides