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 +, -, *, /). For example, 3x + 2 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, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 2x = 5x.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the total length of all its sides. It can be found by adding the lengths of each side.

Front

If a triangle has sides of length x, x, and 4, what is the expression for its perimeter?

Back

The perimeter is 2x + 4.

Front

What is the result of -r - 10r?

Back

The result is -11r.

Front

How do you simplify the expression n - 10 + 9n - 3?

Back

Combine like terms to get 10n - 13.

Front

What is the simplified form of 5a + 2b - 3a + 4?

Back

The simplified form is 2a + 2b + 4.

Front

How do you combine the terms in the expression 3x + 2x + 3y - 7y?

Back

Combine like terms to get 5x - 4y.