Polynomials Test

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, -3x and 3x are like terms.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that have the same variable and exponent. For example, 5x + 4x = 9x.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter of a rectangle is found by adding the lengths of all sides. The formula is P = 2(length + width).

Front

What is the formula for the perimeter of a rectangle with width (2x + 3) and length (2x - 4)?

Back

The perimeter is P = 2((2x + 3) + (2x - 4)) = 8x - 2.

Front

What is the sum of (3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8)?

Back

The sum is 3y^3 + 7y^2 - 4y + 3.

Front

What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in front of the variables in a polynomial. For example, in 5x^2, 5 is the coefficient.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, 3x is a monomial, and 3x + 2 is a polynomial.

Front

How do you simplify the expression (5x + 2) + (4x + 5)?

Back

By combining like terms, the expression simplifies to 9x + 7.