Flashcard Review: Simplify Expressions

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

Simplify the expression: 4(3m + 5) + 5

Back

12m + 25

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

Simplify the expression: 6n + 2(3 - 5n)

Back

6 - 4n

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable. For example, 3x + 4x = 7x.

Front

Simplify the expression: 3 + 12c - 4c

Back

8c + 3

Front

Use the distributive property to simplify: 4(b + 6n)

Back

4b + 24n

Front

What is the result of applying the distributive property to -4(k - 7)?

Back

-4k + 28

Front

What is an equivalent expression?

Back

An equivalent expression is one that has the same value as another expression, even though it may look different.

Front

Simplify the expression: 2(3x + 4) - 5

Back

6x + 3