Mastering the Distributive Property and Like Terms

This video tutorial covers the distributive property and combining like terms in algebra. It begins with a basic introduction to the distributive property, followed by simple examples to illustrate the concept. The tutorial then progresses to more complex scenarios involving negative numbers. The second part of the video focuses on combining like terms, providing examples and practice problems to reinforce the concepts. The tutorial concludes with advanced examples that integrate both the distributive property and combining like terms, offering a comprehensive understanding of these algebraic techniques.

What is the first step when solving problems that involve the distributive property?

• Distribute the outside number

• Factor the equation

• Simplify the equation

• Combine like terms

What does a negative sign in front of parentheses indicate in terms of distribution?

• Multiply by positive one

• No distribution needed

• Multiply by negative one

• Ignore the negative sign

In the expression 3(x + 2), what is the result of distributing the 3?

• 3x + 6

• 3x + 2

• 6x + 6

• x + 5

How do you handle terms inside and outside the parentheses before combining them?

• Subtract them

• Combine them directly

• Distribute then combine

• None of the above

What is the result of distributing -4 in the expression -4(2y + 5)?

• -6y - 10

• -8y + 20

• -8y - 20

• 8y - 20

When combining like terms, what should you consider about the terms?

• Their variables only

• Their signs and coefficients

• Their coefficients only

• Their constant values only

In the expression 4x + 2(3x + 5), what is the combined form of the x terms after distribution?

• 12x

• 10x

• 9x

• 7x

What is the final result for the constants in the expression 4x + 2(3x + 5) - 6 after combining like terms?

• 4

• 9

• -1

• 0

How do you treat a subtraction sign in front of parentheses in terms of distribution?

• Distribute as positive one

• Distribute as negative one

• Ignore the subtraction sign

• Add one to each term inside

What is the result of distributing 9 and -3 in the expression 9(x + 2) - 3(2x + 5)?

• 5x + 10

• 7x + 7

• 6x + 13

• 3x + 3