Understanding Expressions and Operations

The video tutorial explains how to determine the equivalent expression for 4 * n + 6. It begins by describing the multiplication of a number outside parentheses, then demonstrates solving the expression by writing n + 6 four times. The distributive property is introduced as an alternative method, multiplying each term inside the parentheses by the factor outside. Finally, the solution is verified by substituting a value for n in both the original and derived expressions, confirming the correctness of the solution.

What does it mean when a number is written outside of parentheses with no sign directly after it?

• It indicates division.

• It indicates multiplication.

• It indicates subtraction.

• It indicates addition.

How can you interpret the expression 4 * (n + 6)?

• As four groups of n / 6.

• As four groups of n * 6.

• As four groups of n - 6.

• As four groups of n + 6.

What is the result of adding four n's together?

• 2n

• n

• 4n

• 3n

What is the sum of four sixes?

• 12

• 18

• 30

• 24

Which choice correctly represents the expression 4 * (n + 6)?

• 4n + 6

• 4n + 12

• 4n + 18

• 4n + 24

What does the distributive property allow you to do?

• Divide the factor outside the parentheses by each term inside.

• Add terms inside the parentheses.

• Multiply the factor outside the parentheses by each term inside.

• Subtract terms inside the parentheses.

What is the result of 4 * n using the distributive property?

• n

• 2n

• 4n

• 3n

What is the result of 4 * 6 using the distributive property?

• 30

• 24

• 18

• 12

How can you verify the solution to the expression 4 * (n + 6)?

• By substituting any value for n in both the original and simplified expressions.

• By only substituting a value for n in the original expression.

• By only substituting a value for n in the simplified expression.

• By not substituting any value for n.

What is the result when substituting n = 1 in the expression 4 * (n + 6)?

• 32

• 28

• 24

• 20