Simplifying Algebraic expressions

Front

What is the distributive property in algebra?

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 set of parentheses.

Front

Simplify: 6(4x + y + 7)

Back

24x + 6y + 42

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, while 3x and 4y are not.

Front

Combine like terms: 3x - 2y + 3y + 7x

Back

10x + 1y

Front

Simplify: 2(3x + 5)

Back

6x + 10

Front

What does it mean to simplify an expression?

Back

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

Front

Simplify: 2x + 9 + 7x

Back

9x + 9

Front

What is the coefficient in the term 5x?

Back

The coefficient is the number in front of the variable. In 5x, the coefficient is 5.

Front

Simplify: 5(2 - 7n)

Back

10 - 35n

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 4 is an algebraic expression.