Simplifying Expressions by Distributing and Combining Like Terms

This video tutorial explains how to simplify complex expressions using the distributive property and combining like terms. It provides step-by-step examples, highlighting the importance of distributing first and correctly handling negative terms. The tutorial concludes with practice problems for viewers to try on their own.

What is the first step when simplifying an expression using the distributive property?

• Factor the expression

• Add all constants

• Distribute the coefficients

• Combine like terms

In the expression 6(3m - 1), what is the result of distributing the 6?

• 6m - 6

• 18m - 1

• 18m - 6

• 3m - 6

When combining like terms, what should you always remember to include?

• The variable

• The constant

• The coefficient

• The sign in front of the term

What is the result of distributing 4 in the expression 4(m + 7)?

• 4m - 28

• 4m + 7

• 4m + 28

• m + 28

In the expression 6(3m - 1) + 4(m + 7), what is the result of combining the like terms?

• 22m + 22

• 22m - 22

• 22m - 28

• 22m + 28

In the expression 7(2f + 5) - 5(6f - 8), what is the result of distributing the -5?

• -30f - 40

• 30f + 40

• -30f + 40

• 30f - 40

What is the simplified form of 14f - 30f + 35 + 40?

• 16f + 75

• 16f - 75

• -16f - 75

• -16f + 75

What is the result of combining the like terms in the expression -8(8) - 8(-5v) + 6(3v) - 6(5)?

• 58v - 94

• 58v + 94

• -58v - 94

• -58v + 94

In the expression -10(n) - 10(-8) - 3(10n) - 3(-1), what is the result of distributing the -3?

• 30n - 3

• 30n + 3

• -30n - 3

• -30n + 3

What is the simplified form of -10n - 30n + 80 + 3?

• -40n + 83

• 40n + 83

• -40n - 83

• 40n - 83