Multiplying Fractions and Expressions

The video tutorial explains how to expand linear expressions using the distributive property. It begins by introducing the concept and then demonstrates the process with both numerical values and variables. The tutorial highlights the importance of multiplying each term inside the parentheses by the term outside. It also addresses the handling of negative numbers in the expansion process. The final expanded expression is presented as 6 - 3x.

What is the first step in expanding a linear expression using the distributive property?

• Add the numbers inside the parentheses.

• Divide the number outside the parentheses by each term inside.

• Multiply the number outside the parentheses with each term inside.

• Subtract the numbers inside the parentheses.

How do you multiply a fraction by a whole number?

• Multiply the whole number by the denominator.

• Multiply the numerator by the whole number and keep the denominator the same.

• Add the fraction to the whole number.

• Divide the whole number by the fraction.

What is the result of multiplying 3/5 by 10?

• 8

• 2

• 6

• 5

When multiplying 3/5 by 5x, what is the simplified result?

• x

• 5x

• 3x

• 15x

What is the final expanded form of the expression 3/5 * (10 - 5x)?

• 3x - 6

• 6 + 3x

• 6 - 3x

• 6x - 3