Factor/Distribute/Combine Review

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

Use the distributive property to simplify: 5(2f + 4)

Back

10f + 20

Front

True or False: The expressions 4(n + 3) - (3 + n) and 3n + 9 are equivalent.

Back

True

Front

Which expression is NOT equivalent to 8x - 24? 4(2x - 24), 2x + 6(x - 4), 8(x - 3), -4(-2x) - 4(6)

Back

4(2x - 24) is NOT equivalent.

Front

Identify which expressions are equivalent to -3(2x - 4): a. 2(-x + 6), b. -6x + 8 + 4, c. 3(-2x + 1 + 3)

Back

b and c are equivalent.

Front

Simplify the expression using factoring: 4x + 12 + 2x

Back

6(x + 2)

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value for all values of the variable(s) involved.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the result of distributing 3 over (x + 5)?

Back

3(x + 5) = 3x + 15.