Simplify Algebraic Expressions

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and perform any operations to make the expression as concise as possible.

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

Simplify the expression: 3(4 + 7y)

Back

12 + 21y

Front

Simplify: 2(4k + 7)

Back

8k + 14

Front

Back

Front

Simplify -- look for like terms: m + n + n + m + n

Back

2m + 3n

Front

Combine like terms: 4a + a + 3b

Back

5a + 3b

Front

What is the distributive property in algebra?

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

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 5x, 5 is the coefficient.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.