Area and Perimeter With Polynomials

Front

What is the definition of area in relation to polygons?

Back

Area is the measure of the space inside a polygon, typically expressed in square units.

Front

What is the definition of perimeter in relation to polygons?

Back

Perimeter is the total distance around the outside of a polygon, calculated by adding the lengths of all its sides.

Front

How do you find the area of a rectangle with length 'l' and width 'w'?

Back

Area = l × w.

Front

How do you find the perimeter of a rectangle with length 'l' and width 'w'?

Back

Perimeter = 2(l + w).

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the process of combining like terms in a polynomial?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Front

What is the result of (3x + 4y - 3z) - (2x - 6y + 7z)?

Back

x + 10y - 10z.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you simplify the expression 5(x + 2) - 3(x - 1)?

Back

5x + 10 - 3x + 3 = 2x + 13.