Algebra 1 Regents Review

Front

What is the result of B - A if A = 3x² - 6x and B = 12x - 6x²?

Back

B - A = -9x² + 18x.

Front

What is the equivalent expression for (-4x²)³?

Back

(-4x²)³ = -64x⁶.

Front

How do you represent the total cost C(x) of a kayak tour package for x club members if the cost is $35 per person and $245 for the tour guide?

Back

C(x) = 35x + 245.

Front

What is the value of K(-3) if K(x) = 2x² - 5x + 3?

Back

K(-3) = 36.

Front

What is the standard form of the product of (3 + x) and (2x - 5)?

Back

The product is 2x² - 11x - 15.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_nx^n + a_(n-1)x^(n-1) + ... + a_1x + a_0, where a_n, a_(n-1), ..., a_0 are constants and n is a non-negative integer.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + x - 7?

Back

The degree of the polynomial is 3.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term (e.g., 3x²), while a polynomial is a sum of two or more monomials (e.g., 3x² + 2x - 1).

Front

What is the quadratic formula used to solve ax² + bx + c = 0?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

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 variable.