Math 1 Unit 3 EOC Review

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you simplify the expression -5a^6 - 5a^4?

Back

Combine like terms: -5a^6 - 5a^4 is already simplified as there are no like terms.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. Example: 2x^3 - 4x^2 + 3.

Front

How do you find the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 3x^4 + 2x^2 - 5, the degree is 4.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. Example: 2x + 3x = 5x.

Front

What is the result of (x + 3)(x + 6)?

Back

The result is x^2 + 9x + 18, obtained by using the distributive property.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to each term of the polynomial being subtracted and then combine like terms.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms. Example: 4x^3 + 2x^2 - x + 7.

Front

How many terms are in the polynomial 2x^3 - 2y^2 + 8x^2 - 16x - 5?

Back

There are 5 terms in the polynomial.

Front

What is the result of adding (3x^2 - 8x + 7) and (8x^2 + 9x - 16)?

Back

The result is 11x^2 + x - 9.