Simplify Algebraic Expressions

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2m and 3m are like terms, while 2m and 3n are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable. For example, 2m + 3m = 5m.

Front

Simplify: m + n + n + m + n

Back

2m + 3n

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 parenthesis.

Front

Simplify the expression: 3(4 + 7y)

Back

12 + 21y

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

Front

Simplify: 7v + 2 + 12 + 2v

Back

9v + 14

Front

What is a coefficient in algebra?

Back

A coefficient is a numerical factor in a term. For example, in 5x, 5 is the coefficient.

Front

Combine like terms: 4a + a + 3b

Back

5a + 3b

Front

Simplify the expression: 7b - 2b + 9

Back

5b + 9