Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

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 reduce it to its simplest form.

Front

What are like terms in algebra?

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 the expression: 2(x + 3) - 4(x - 2)

Back

-2x + 14

Front

Simplify the expression: 3x + 2y - 5x + 4y

Back

-2x + 6y

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 the expression: 5(a - b) + 3(a + b)

Back

8a + 2b

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

Front

Simplify the expression: 4x - 2y + 3x - 5y

Back

7x - 7y

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation.