Simplifying Expressions

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

Simplify: 9(x + 2) - 4(x - 3)

Back

5x + 30

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 performing any operations.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

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.

Front

Simplify: r + 10r

Back

11r

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

Simplify: 3(p + 4) + 5(2p + 1)

Back

13p + 17

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

Simplify: 9z - 21 - 3z + 10

Back

6z - 11