Understanding the Distributive Property

What does the 'P' in PEMDAS stand for?

• Polynomials

• Parentheses

• Powers

• Products

In the expression 4 * (2 + x), what is the result after applying the distributive property?

• 4 + 2x

• 4x + 2

• 8x + 2

• 8 + 4x

What is the main advantage of using the distributive property?

• It simplifies calculations by avoiding parentheses.

• It guarantees a different final value.

• It changes the order of operations.

• It allows for division before multiplication.

Which of the following is NOT a correct application of the distributive property?

• 6 * (5 + 3) = 6 * 5 + 6 * 3

• 4 * (x + y) = 4x + 4y

• 3 * (a - b) = 3a - 3b

• 5 * (2 + 3) = 5 * 2 + 3

How would you distribute 5P across the terms in the expression (3G - Z + 2)?

• 5P(3G - Z + 2)

• 15P + 3G - 5PZ + 2

• 5P + 3G - Z + 2

• 15PG - 5PZ + 10P

What is the result of applying the distributive property to -2f * (7a - 2)?

• 14af - 4f

• 14af + 4f

• -14af - 4f

• -14af + 4f

What is a common mistake when using the distributive property?

• Applying it to exponents

• Using it with division

• Adding terms instead of multiplying

• Distributing multiplication to each term incorrectly

When using the distributive property, what should you be careful about with negative signs?

• They should be ignored.

• They should be converted to positive signs.

• They should be added to the result.

• They should be distributed along with the multiplication.

Why can't you distribute 6 across 5pqr in the expression 6 * 5pqr?

• 5pqr is a single term.

• 6 is not a factor.

• pqr cannot be multiplied.

• The expression is already simplified.

What is the simplified result of -5T * (2/T + T)?

• -10 - 5T^2

• -10T + 5T^2

• -10T - 5T^2

• 10T - 5T^2