Solving Two Step Equations with the Distributive Property

This video tutorial covers the use of the distributive property in solving two-step equations. It begins with an introduction to the distributive property, explaining the difference between expressions with and without parentheses. The tutorial then demonstrates how to apply the distributive property in equations, providing step-by-step examples. It also explores alternative methods for using the distributive property, highlighting shortcuts and efficiencies. The video concludes with complex examples involving fractions and decimals, ensuring a comprehensive understanding of the topic.

What does the distributive property allow you to do in an algebraic expression?

• Subtract each term inside the parentheses from a number outside

• Add a number outside the parentheses to each term inside

• Multiply a number outside the parentheses by each term inside the parentheses

• Divide a number outside the parentheses by each term inside

What is the result of applying the distributive property to 2(x + 5) when x = 3?

• 11

• 18

• 16

• 15

How do you visually represent the distributive property when solving equations?

• Using subtraction symbols

• Using division lines

• Using arrows to indicate multiplication

• Using plus signs between every term

What does the expression 4(a + b) simplify to using the distributive property?

• 4a + 4b

• 8ab

• 4ab

• 4a - 4b

How do you handle negative numbers when using the distributive property?

• Multiply each term inside the parentheses by the negative number

• Add the numbers instead of multiplying

• Ignore the negative sign

• Only multiply the first term by the negative number

What is the result of -2(x + 4) when x = 1?

• 6

• -6

• -10

• -8

How do you solve equations involving fractions using the distributive property?

• Add the fraction to each term inside the parentheses

• Subtract the fraction from each term inside the parentheses

• Divide the fraction across terms inside the parentheses

• Multiply the fraction across terms inside the parentheses

What is the simplified form of 0.5(x + 10) when x = 20?

• 20

• 10

• 15

• 25

If the perimeter of an equilateral triangle is increased by 15 inches to 60 inches, what was the original length of one side?

• 10 inches

• 20 inches

• 25 inches

• 15 inches

Using the distributive property, how would you solve 3(x + 5) = 60?

• x = 20

• x = 10

• x = 25

• x = 15