Exploring the Distributive Property in Depth

This video tutorial covers the distributive property and combining like terms. It begins with an introduction to the distributive property using simple numerical examples, then progresses to more complex examples involving variables. The tutorial emphasizes the importance of distributing first and then combining like terms, providing step-by-step examples to illustrate these concepts. The video also highlights the handling of negative numbers and the importance of integer operations in these processes.

What is the result of distributing 3 in the expression 3(2 + 4)?

• 6 + 4

• 6 + 12

• 3 + 4

• 2 + 12

If you distribute 2 in the expression 2(6 + 5), what do you get?

• 12 + 5

• 2 + 10

• 12 + 10

• 6 + 10

What is the result of distributing -4 in the expression -4(3 + 1)?

• -12 - 4

• 12 + 4

• 12 - 4

• -12 + 4

Distribute -2 in the expression -2(6 - 3). What is the result?

• 12 + 6

• -12 + 6

• -12 - 6

• 12 - 6

What is the result of distributing 4 in the expression 4(x + 2)?

• 4 + 2x

• 4x + 2

• 4x + 8

• x + 8

Distribute -3 in the expression -3(w + 5). What do you get?

• 3w + 15

• 3w - 15

• -3w + 5

• -3w - 15

Combine like terms in the expression 2x + 3x + 10.

• 5x + 10

• 2x + 3 + 10

• 5 + 3x + 10

• 2x + 3x

What is the result of combining like terms in 4x + 3x + 6?

• 4x + 3x

• 7x + 6

• 4x + 3 + 6

• 7 + 3x + 6

Distribute 3 in the expression 3(x - 4) and combine like terms with -2x + 10.

• x + 2

• x - 2

• 3x - 12

• 3x + 2

Distribute -5 in the expression -5(y - 2) and combine like terms with -4 + y.

• -5y + 10

• -5y + 6

• -4y + 10

• -4y + 6