Simplify Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, *, /) that represents a value.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it 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, 3g and 5g are like terms.

Front

What is the first step in simplifying the expression 7g + 5 + 6g - 3?

Back

The first step is to combine the like terms 7g and 6g.

Front

What is the simplified form of 7g + 6g?

Back

The simplified form is 13g.

Front

How do you combine constants in an expression?

Back

You add or subtract the constant numbers together. For example, 5 - 3 = 2.

Front

What is the simplified form of 5 + 6 - 3?

Back

The simplified form is 8.

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 each term inside a parenthesis.

Front

How do you apply the distributive property to 4(2f - 5)?

Back

You multiply 4 by both 2f and -5, resulting in 8f - 20.

Front

What is the simplified form of 3f + 4(2f - 5)?

Back

The simplified form is 11f - 20.