Algebra Keystone Review (Module 1)

Front

What is the least common multiple (LCM) of the monomials: 9xy^4 and 5x^2y^2?

Back

The least common multiple is 45x^2y^4.

Front

Write an inequality to describe the number of yards (n) a swimmer must swim to join the school swim team.

Back

n ≥ 500

Front

Factor the polynomial expression: x^2 - 10x + 25.

Back

(x - 5)^2

Front

What is the factored form of the expression x^4 - 1?

Back

(x - 1)(x + 1)(x^2 + 1)

Front

Define a monomial.

Back

A monomial is a polynomial with only one term.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables, coefficients, and non-negative integer exponents.

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 does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression.

Front

What is the difference between a monomial and a binomial?

Back

A monomial has one term, while a binomial has two terms.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.