Distributive Property ORTIZ VERSION

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

Simplify the expression: -q^2 + 7q - 10 + 4q^2 - 6q + 8.

Back

3q^2 + q - 2.

Front

How do you apply the Distributive Property to the expression (2v + 5) * 8?

Back

You distribute 8 to both terms: 8 * 2v + 8 * 5 = 16v + 40.

Front

What is the first step in simplifying an expression using the Distributive Property?

Back

Identify the term outside the parentheses and multiply it by each term inside the parentheses.

Front

Simplify the expression: -2(10 - 5h^2) + 6(h^2 - 1).

Back

16h^2 - 26.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

What is a like term? Give an example.

Back

Like terms are terms that have the same variable and exponent. For example, 3q and 5q are like terms.

Front

What is the result of applying the Distributive Property to the expression 3(x + 4)?

Back

3x + 12.

Front

How can you check your work after simplifying an expression?

Back

You can substitute a value for the variable and see if both the original and simplified expressions yield the same result.

Front

What is the significance of the constant term in a polynomial expression?

Back

The constant term is the value of the polynomial when all variable terms are set to zero.