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, 3x and 5x are like terms.

Front

What is the perimeter of a shape?

Back

The perimeter is the total distance around the outside of a shape. It is calculated by adding the lengths of all the sides.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle can be found using the formula P = 2(length + width).

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is found by adding the lengths of all three sides: P = side1 + side2 + side3.

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 parenthesis.

Front

How do you combine like terms in the expression 7x^2 - 5x + 3 - 2x^2 - 2x - 1?

Back

Combine like terms: (7x^2 - 2x^2) + (-5x - 2x) + (3 - 1) = 5x^2 - 7x + 2.

Front

What is the simplest form of the expression c + 0.15c?

Back

The simplest form is 1.15c, which combines the terms.

Front

What is the expression for the perimeter of a triangle with sides x, x, and 6?

Back

The expression for the perimeter is 2x + 6.