Simplifying Expressions

Front

What is the process of simplifying expressions?

Back

The process of simplifying expressions involves combining like terms and performing operations to reduce the 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: 4x + 3 + 7x

Back

11x + 3

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

Simplify: 6x + 1 + 7x

Back

13x + 1

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: 6(7 + x) + 5x

Back

11x + 42

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract coefficients of terms that have the same variable.

Front

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

Back

3x - 10

Front

What is a coefficient?

Back

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