Distributive Property and Factoring Concepts

This video tutorial covers the distributive property and factoring. It begins with an introduction to the distributive property, providing basic examples of distributing numbers across terms within parentheses. The tutorial progresses to more advanced examples involving multiple terms. It then introduces factoring, explaining how to factor expressions by identifying common factors. The video concludes with examples of factoring and a homework assignment to reinforce learning.

What is the result of distributing 5 into the expression (3x + 2)?

• 15x + 10

• 8x + 2

• 3x + 10

• 5x + 7

After distributing 6 into (a - b), what expression do we get?

• 12a - 12b

• 6a - 6b

• 6a + 6b

• a - b

What is the outcome when 4 is distributed into (3x - 2y)?

• 12x - 8y

• 7x - 6y

• 12x - 2y

• 4x - 2y

How do you simplify the expression 4(2x + y - 3a)?

• 6x + 4y - 7a

• 8x + 4y - 12a

• 4x + 2y - 12a

• 8x + y - 3a

What common factor is used to factor the expression 16a + 8?

• 8

• 16

• 4

• 2

After factoring 15x + 25y by their common factor, what expression do we get?

• 5(3x + 5y)

• 25(15x + y)

• 15(x + y)

• 3(5x + 25y)

What is the simplified form of 7a + 21b - 14c after factoring?

• 21(a + b - c)

• 14(a + b - c)

• 7(7a + 21b - 14c)

• 7(a + 3b - 2c)

What is the first step in solving the expression 5(3a - 6c) using the distributive property?

• Add 5 to both 3a and -6c

• Multiply 5 by both 3a and -6c

• Divide both 3a and -6c by 5

• Subtract 5 from 3a and -6c

How do you apply the distributive property to 10(a + 13)?

• 10a + 130

• 10a + 23

• 20(a + 13)

• 5(a + 13)

What is the correct factored form of 12x + 8?

• 2(6x + 4)

• 4(3x + 2)

• 8(1.5x + 1)

• 12(x + 8)