Simplify Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols (like +, -, *, /).

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic expression means to combine like terms and perform any operations to make the expression as simple as possible.

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

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

What is the value of 9 + 2(5 - 3) - 6?

Back

7

Front

How do you subtract algebraic expressions?

Back

To subtract algebraic expressions, distribute the negative sign and then combine like terms.

Front

What is the result of subtracting (3x + 5) - (x + 2)?

Back

2x + 3

Front

What is the simplest form of (3x - 2) - (4x + 1)?

Back

-x - 3

Front

How do you combine like terms in an expression?

Back

Combine the coefficients of like terms. For example, in -2y + 2y + 10 - 8, -2y and 2y cancel out, leaving 10 - 8.

Front

What is the simplified form of -2y + 10 + 2y - 8?

Back

2