Combining Like Terms and Distributive Property Mastery

This video tutorial explains how to simplify expressions using combining like terms and the distributive property. It provides examples and practice problems to help understand the process of identifying like terms, combining them, and applying the distributive property to simplify expressions. The tutorial emphasizes the importance of signs in front of terms and offers step-by-step guidance through various examples.

What is the first step in simplifying the expression 5m + 8 - 15 + m?

• Factor the expression

• Combine the constants

• Combine the like terms

• Distribute the coefficients

What do you get when you combine 5m and m?

• 4m

• 5m

• 7m

• 6m

Which of the following are like terms in the expression 6p - 6p^2 - 12w + p - 8w + 9p?

• 6p and -6p^2

• p and 9p

• -12w and -8w

• Both b and c

What is the simplified form of the expression 1x + 7x - 7?

• 8x - 7

• 7x + 7

• 8x + 7

• 7x - 7

What happens to the terms with 'b' in the expression 12b - 12b?

• They remain unchanged

• They add up to 24b

• They cancel each other out

• They become -24b

What is the result of combining 4x^4 and -x^4?

• 5x^4

• 0

• 3x^4

• x^4

What is the distributive property used for?

• Solving equations

• Factoring expressions

• Distributing a single term across a sum or difference

• Combining like terms

What is the simplified form of 5(2m + 8)?

• 5m + 40

• 2m + 40

• 10m + 8

• 10m + 40

What is the simplified form of -5(2m - 8)?

• -10m - 40

• 10m + 40

• -10m + 40

• 10m - 40

What is the opposite of 3n - 10?

• -3n + 10

• 3n + 10

• -3n - 10

• 3n - 10