Algebra EOC RC 1 Review

Front

What is the process of combining like terms in an algebraic expression?

Back

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

Front

What is a factor in algebra?

Back

A factor is a number or expression that divides another number or expression evenly, without leaving a remainder.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is an algebraic expression with one term, while a polynomial is an expression with two or more terms.

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 two or more terms inside parentheses.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree and determines the end behavior of the polynomial function.