Simplifying Expressions and Distributive Property

The video tutorial explains the distributive property, which involves multiplying a single term across terms inside parentheses. It demonstrates this property with three examples, showing how to rewrite expressions as sums or differences of products and then simplify them by combining like terms. The tutorial emphasizes using the distributive property instead of the order of operations to simplify expressions.

What is the distributive property often referred to as?

• Addition across multiplication

• Multiplication across addition or subtraction

• Division across subtraction

• Subtraction across division

How do you apply the distributive property to x times (5 + 12)?

• x times 5 minus x times 12

• x times 5 plus x times 12

• x plus 5 times 12

• 5 times x plus 12

What is the simplified form of 5x + 12x?

• 7x

• 60x

• 15x

• 17x

What is the result of simplifying the expression inside the parentheses for x times (5 + 12)?

• 15

• 7

• 17

• 60

What is the result of applying the distributive property to x times (6 - 9)?

• x plus 6 minus 9

• x times 6 minus x times 9

• x times 6 plus x times 9

• 6 times x plus 9

What is the simplified form of 6x - 9x?

• -3x

• 15x

• 3x

• 0

What is the result of simplifying the expression inside the parentheses for x times (6 - 9)?

• 0

• -3

• 3

• 15

How do you apply the distributive property to x times (12 - 4)?

• 12 times x plus 4

• x times 12 plus x times 4

• x plus 12 minus 4

• x times 12 minus x times 4

What is the simplified form of 12x - 4x?

• 4x

• 16x

• 0

• 8x

What is the result of simplifying the expression inside the parentheses for x times (12 - 4)?

• 0

• 8

• 16

• 4