NC Math 3 EOC Review -- Equivalent Expressions and Inverses

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function, such that if f(x) = y, then f^(-1)(y) = x.

Front

If a linear function passes through the point (2, 3), what point does its inverse pass through?

Back

(3, 2) because the coordinates are swapped in the inverse.

Front

What is the first step in factoring any polynomial?

Back

Look for the Greatest Common Factor (GCF) and factor it out.

Front

What does GCF stand for in polynomial factoring?

Back

Greatest Common Factor, the largest factor that divides all terms in a polynomial.

Front

How do you factor the expression 3x^3 + 24?

Back

First, factor out the GCF, which is 3, resulting in 3(x^3 + 8), then apply the sum of cubes formula.

Front

What is the area of a rectangle if its length is represented by a polynomial?

Back

The area is calculated by multiplying the length by the width, both represented as polynomials.

Front

What is the factored form of the trinomial x^2 + 12x - 64?

Back

(x - 4)(x + 16) after finding two numbers that multiply to -64 and add to 12.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the significance of factoring in algebra?

Back

Factoring simplifies expressions and helps solve equations by finding roots.

Front

What is a binomial?

Back

A polynomial with exactly two terms.