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

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

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: -5(y - 6) + 4

Back

-5y + 34

Front

Simplify: 6x + 1 + 7x

Back

13x + 1

Front

Simplify: 4x + 3 + 7x

Back

11x + 3

Front

Simplify: 3(2 + x) + 6x - 4

Back

9x + 2

Front

Combine like terms: 3x + 2x + 3y - 7y

Back

5x - 4y

Front

What is a coefficient?

Back

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