Distribution and Combining Like Terms Review

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you apply the Distributive Property to the expression -9(x - 3)?

Back

To apply the Distributive Property, multiply -9 by each term inside the parentheses: -9 * x + (-9) * (-3) = -9x + 27.

Front

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

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify the expression 3 + 5x + 8 - 2x. What is the result?

Back

The result is 11 + 3x, obtained by combining the constant terms (3 + 8) and the like terms (5x - 2x).

Front

How do you combine like terms in the expression 3m + 4 + 5m - 1?

Back

Combine the like terms 3m and 5m to get 8m, and combine the constants 4 and -1 to get +3, resulting in 8m + 3.

Front

What is the result of distributing and combining like terms in -4t - (t + 6)?

Back

Distributing the negative sign gives -4t - t - 6, which simplifies to -5t - 6.

Front

How do you distribute in the expression 2(y - 5) + 2y?

Back

Distributing gives 2y - 10 + 2y, which combines to 4y - 10.

Front

What is a like term?

Back

A like term is a term that has the same variable raised to the same power, allowing them to be combined.

Front

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

Back

The first step is to multiply the term outside the parentheses by each term inside the parentheses.

Front

What is the result of combining the like terms 7x + 2x - 3x?

Back

The result is 6x, obtained by adding the coefficients of the like terms.