NC Math 4 Final Exam REVIEW

Front

What is the composition of functions g(a) = 4a + 1 and h(a) = -3a + 2? Find g(h(1)).

Back

g(h(1)) = g(-3(1) + 2) = g(-1) = 4(-1) + 1 = -3.

Front

In a matrix R, how do you identify the element r23?

Back

The element r23 is located in the second row and third column of the matrix.

Front

Simplify the expression: 5y - 8z - (z + 3y) + 5(y - 2z).

Back

The simplified expression is 7y - 19z.

Front

What is the Law of Cosines formula?

Back

The Law of Cosines is given by c² = a² + b² - 2abcosC.

Front

What does log₅25 equal?

Back

log₅25 = 2.

Front

Define a function. What are its key components?

Back

A function is a relation that assigns exactly one output for each input. Key components include the domain (set of inputs) and range (set of outputs).

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has the form f(x) = mx + b, while a quadratic function has the form f(x) = ax² + bx + c.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you solve a system of equations using substitution?

Back

To solve using substitution, solve one equation for one variable and substitute that expression into the other equation.

Front

What is the quadratic formula?

Back

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