Exploring Equivalent Expressions and the Distributive Property

What distinguishes an expression from an equation?

• Equations can only be simplified.

• Expressions include an equal sign.

• Expressions cannot be solved because they lack an equal sign.

• Expressions can be solved.

What does 5x represent?

• 5 plus x

• 5 divided by x

• 5 times x

• The sum of 5 and x

How does the distributive property work?

• By multiplying the term outside the parentheses by each term inside.

• By adding the term outside the parentheses to each term inside.

• By dividing terms inside the parentheses.

• By subtracting each term inside the parentheses from the term outside.

What is the result of applying the distributive property to 3(3x + 4)?

• 9x + 12

• 9x + 7

• 12x + 7

• 6x + 4

What does a negative sign outside the parentheses indicate when using the distributive property?

• Add a negative to each term inside.

• Divide each term inside by -1.

• Multiply each term inside by -1.

• Subtract each term inside the parentheses.

How do you handle a negative times a negative within the distributive property?

• It cancels out the terms.

• It results in a positive.

• It results in a negative.

• It doubles the negative value.

What is the outcome of -2(3n - 5)?

• 6n - 10

• -6n + 10

• -6n - 10

• 6n + 10

What does the 'invisible one' refer to in the context of the distributive property?

• A term that is not visible in the expression.

• A one added to each term inside the parentheses.

• A coefficient of 1 that is not written but implied.

• A one subtracted from each term inside the parentheses.

How can calculators be used when working with negative numbers in expressions?

• To divide negative numbers.

• To add negative numbers.

• To subtract negative numbers.

• To check multiplication of negative numbers.

What is the expanded form of 10(n + 2)?

• 10n + 2

• 12n

• 20n

• 10n + 20