Simplifying Expressions

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 5a are like terms, while 3a and 4b 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, in 4a + 3a, you combine them to get 7a.

Front

Simplify the expression: 8a + 4b + 2c - 3b + a

Back

9a + b + 2c

Front

Simplify the expression: 5a + 2b + 6a + 4b

Back

11a + 6b

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(2x + 1) + 2(x - 4)

Back

8x - 5

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

Simplify the expression: 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

Simplify the expression: 5(2 - 7n)

Back

10 - 35n