Algebraic Expressions and Properties

Mr. Woolley introduces a math lesson focused on the distributive property, factoring, and solving area problems. The video includes examples of distributing terms in equations, working backwards to factor, and applying these concepts to word problems. Students are reminded of the importance of not sharing the video outside the classroom. The lesson concludes with advanced examples and a focus on distributing negative signs.

What is the result of applying the distributive property to 2(x + 5)?

• x + 10

• 2x + 5

• 2x + 10

• 2x + 5x

If 5x = 30, what is the factored form of the expression?

• 5(x + 5)

• 5(x + 1)

• 5(x + 6)

• 5(x - 6)

Which number is the greatest common factor of 72t and 8?

• 1

• 72

• 9

• 8

What is the factored form of 48j + 60k + 24?

• 24(2j + 2.5k + 1)

• 6(8j + 10k + 4)

• 12(4j + 5k + 2)

• 3(16j + 20k + 8)

In a scenario where each person buys a ticket and two boxes of popcorn, how would you express the total cost for five people?

• t + 10p

• t + 2p

• 5(t + 2p)

• 5t + 2p

How would you express the total cost for six friends buying a package of two rounds of golf and 20 arcade tokens?

• 12g + 120t - 18

• 6(2g + 20t + 3)

• 6(2g + 20t - 3)

• 12g + 120t + 18

What is the opposite of the expression 3(x + 4)?

• -3(x + 4)

• 3(-x - 4)

• -3x - 4

• -3x + 4

How do you simplify the expression 5a - a + 3b?

• 4a + 3b

• 5a + 3b

• 4a - 3b

• 5a - 3b

What is the simplified form of the expression -a - (a - b)?

• -2a + b

• -2a - b

• -a + b

• a - b

Which expression represents the product of two factors for 1(3) + 7(3)?

• 7(1 + 3)

• 1(3 + 7)

• 3(1 + 3)

• 3(1 + 7)