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. For example, 3x + 5 is an algebraic expression.

Front

What does it mean to simplify an algebraic expression?

Back

To simplify an algebraic 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, 2x and 3x are like terms, while 2x and 3y are not.

Front

Simplify: 5a + 2b - 7b + 4a

Back

9a - 5b

Front

What is the coefficient in the expression 7x + 3?

Back

The coefficient is the number in front of the variable. In this case, the coefficient of x is 7.

Front

Simplify: -r - 10r

Back

-11r

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 4x + 5, the number 5 is a constant.

Front

Simplify: 2x^2 + 5x + x^2

Back

3x^2 + 5x

Front

What is the degree of the polynomial 4x^3 + 2x^2 - x + 7?

Back

The degree of the polynomial is the highest power of the variable. Here, the degree is 3.

Front

Simplify: 12x + 8x^2 - 11x^2

Back

12x - 3x^2