Simplifying Expressions

Front

What is simplifying expressions?

Back

Simplifying expressions involves combining like terms and performing operations to reduce an expression to its simplest form.

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: 3(5 + 3x) - 4x

Back

5x + 15

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a term by a sum.

Front

Simplify: 6b + 7b - 10

Back

13b - 10

Front

What does it mean to combine like terms?

Back

Combining like terms means adding or subtracting coefficients of terms that have the same variable.

Front

Simplify the expression: 6 + 2(7x - 3)

Back

14x

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term. For example, in 4x, 4 is the coefficient.

Front

Simplify: 4a + 9 + a

Back

5a + 9

Front

What is the purpose of simplifying expressions?

Back

The purpose is to make expressions easier to work with and understand, especially in solving equations.