Semester 1 Final Exam Part 1

Front

What is the value of g(5) if g(x) = 3x - 2?

Back

g(5) = 3(5) - 2 = 15 - 2 = 13.

Front

What does the Zero Product Property state?

Back

If the product of two factors is 0, then at least one of the factors must be 0.

Front

In the function notation f(2) = 5, what does 2 represent?

Back

2 is the input of the function.

Front

Evaluate the expression 1^2 + 4^2.

Back

1^2 + 4^2 = 1 + 16 = 17.

Front

Factor the expression x^2 - 5x.

Back

x^2 - 5x = x(x - 5).

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What is the degree of the polynomial 3x^4 - 2x^2 + 5?

Back

The degree of the polynomial is 4, which is the highest power of x.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation ax^2 + bx + c = 0.