Simplifying Algebraic Expressions with the Distributive Property

This video tutorial covers the concept of the distributive property in mathematics, explaining how to simplify expressions by distributing multiplication over addition or subtraction within parentheses. It includes examples with both positive and negative numbers, demonstrates how to calculate the perimeter of a triangle using the distributive property, and shows how to combine like terms for further simplification. The tutorial also addresses more complex scenarios involving multiple distributive operations.

What does the distributive property involve in mathematical expressions?

• Multiplying numbers inside the parentheses by the number outside

• Dividing numbers inside the parentheses by the number outside

• Subtracting numbers inside the parentheses by the number outside

• Adding numbers inside the parentheses by the number outside

What is the result of applying the distributive property to 3(9x + 14)?

• 12x + 42

• 27x + 42

• 12x + 28

• 27x + 28

How does the sign of the numbers affect the result when using the distributive property?

• Positive times positive always results in a negative

• Negative times negative always results in a negative

• Negative times negative always results in a positive

• Positive times negative always results in a positive

What is the simplified form of -12(0.5x - 9)?

• -6x + 108

• -6x - 108

• 6x + 108

• 6x - 108

How do you calculate the perimeter of an equilateral triangle with sides 1.5x - 2 using the distributive property?

• 4.5x - 6

• 4.5x + 6

• 1.5x - 6

• 1.5x + 6

What is the result of distributing 6 to the expression inside the parentheses in 6(x - 4) + 2x - 3?

• 6x - 24 + 2x - 3

• 8x - 27

• 8x - 21

• 6x - 21

What is the final simplified expression for the equation 6(x - 4) + 2x - 3?

• 6x - 27

• 8x - 24

• 8x - 27

• 6x - 24

What is the simplified result of the expression 12 + 2/5(6x - 15)?

• 12 fifths x - 6

• 12 fifths x + 6

• 12x - 6

• 12x + 6

What is the final expression after distributing and combining like terms in -2/3 - (9.1x + 1 - 3.5x)?

• 12.6x + 3.3

• -12.6x - 3.3

• -12.6x + 3.3

• 12.6x - 3.3

What is the final simplified form of the expression 3 - 2(x + 1) + 1/4(12x - 6)?

• -x - 0.5

• -x + 0.5

• x + 0.5

• x - 0.5