Adding and Subtracting Monomials with Geometric Application

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

Front

How do you add monomials?

Back

To add monomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What are like terms?

Back

Like terms are terms that have the same variable(s) raised to the same power(s). For example, 3x^2 and 5x^2 are like terms.

Front

What is the process of subtracting monomials?

Back

To subtract monomials, subtract the coefficients of like terms while keeping the variable part the same.

Front

Simplify: 10m^2n + 7mn^2 - m^2n

Back

9m^2n + 7mn^2

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If the length is represented by 3x and the width by 2x, what is the perimeter?

Back

P = 2(3x + 2x) = 10x.

Front

What is the perimeter of triangle ABC if it is given as 7x + 2y units?

Back

The perimeter is the sum of all sides, so if one side is missing, you can express it as the total perimeter minus the sum of the other two sides.

Front

Simplify: 2x^2 + 3y - 2x + 5y + 2x

Back

2x^2 + 8y

Front

What is the perimeter of a shape represented by the expression 6x^2 + 4x + 4?

Back

The perimeter is the total distance around the shape, represented by the expression.