Understanding Distributive Property and Factoring

The video tutorial explains how to rewrite mathematical expressions using the distributive property and factoring. It begins with a problem requiring the expression of a sum using the distributive property, demonstrating the process step-by-step. The tutorial then moves on to another problem involving factoring an expression to match a specific form, highlighting the use of the greatest common divisor. The video emphasizes understanding these mathematical concepts through practical examples.

What is the main goal of the problem introduced in the first section?

• To solve an equation.

• To find the product of two numbers.

• To rewrite an expression using the distributive property.

• To calculate the sum of two numbers.

What is the result of applying the distributive property to 7 times (5 + 11)?

• 7 times 16

• 35 plus 77

• 112

• 5 plus 11

What is the sum of 35 and another whole number in the expression 7 times (5 + 11)?

• 112

• 77

• 42

• 35

What is the purpose of the verification step in the third section?

• To solve a different equation.

• To explain the distributive property.

• To introduce a new problem.

• To check if the calculation is correct.

What is the main task in the second problem introduced in the fourth section?

• To calculate the sum of two numbers.

• To factor an expression.

• To apply the distributive property.

• To solve an equation.

What is the greatest common divisor of 12 and 75?

• 4

• 5

• 3

• 6

How is the expression 12 + 75 rewritten using factoring?

• 3 times (4 + 25)

• 4 times (3 + 25)

• 3 times (12 + 75)

• 12 times (3 + 25)

What does the variable 'a' represent in the expression a times 4 + c?

• 25

• 12

• 3

• 4

What does the variable 'c' represent in the expression a times 4 + c?

• 25

• 12

• 3

• 4

What is the final form of the expression 12 + 75 after factoring?

• 3 times (4 + 25)

• 4 times (3 + 25)

• 3 times (12 + 75)

• 12 times (3 + 25)