Distributive Property and Solving Equations

The video tutorial introduces the distributive property of multiplication over addition, explaining that the sum of two numbers multiplied by a factor equals the sum of each number multiplied by the factor. It provides a numerical example and then extends the concept to include variables, demonstrating how to solve for a variable using the distributive property. The tutorial concludes with a recap of the key points covered.

What mathematical property is being discussed in the video?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

Which of the following best describes the distributive property of multiplication over addition?

• The product of a number and the difference of two numbers is equal to the difference of the products of the number and each number.

• The sum of a number and the difference of two numbers is equal to the difference of the sum and each number.

• The sum of a number and the product of two numbers is equal to the product of the sum and each number.

• The product of a number and the sum of two numbers is equal to the sum of the products of the number and each addend.

In the example 3 multiplied by (2 + 4), what is the result of 3 x 2 + 3 x 4?

• 20

• 18

• 14

• 12

What is the result of 3 multiplied by (2 + 4)?

• 20

• 12

• 18

• 14

In the variable example, what does 3a - 6 equal?

• 6

• 12

• 18

• 24

If 3a - 6 equals 12, what is the value of a?

• 6

• 8

• 4

• 2

What is the first step to solve for a in the equation 3a - 6 = 12?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 3

• Divide both sides by 3

After adding 6 to both sides of the equation 3a - 6 = 12, what is the next step?

• Subtract 6

• Add 6 again

• Multiply by 3

• Divide by 3

What is the final value of a in the equation 3a - 6 = 12?

• 8

• 6

• 2

• 4

What is the result of 3 multiplied by (6 - 2)?

• 12

• 18

• 6

• 9