Simplifying Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

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 in an algebraic expression 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, you add or subtract the coefficients (the numbers in front) of the terms that are alike. For example, 3x + 5x = 8x.

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 parentheses.

Front

Simplify: 2(3x - 1) + 10

Back

6x + 8

Front

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

Back

2a + 2b + 4

Front

Simplify the expression: -5(x + 4)

Back

-5x - 20

Front

Simplify the Expression: 5(x + 2) + 2x

Back

7x + 10

Front

Simplify: 5(2 - 7n)

Back

10 - 35n