NC Math 4 Final Exam REVIEW

Front

Find the length of side AC in a triangle where the other sides are known.

Back

Use the Pythagorean theorem if it's a right triangle: a^2 + b^2 = c^2, where c is the hypotenuse.

Front

What is the relationship between radians and degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π).

Front

Given g(a) = 4a + 1 and h(a) = -3a + 2, how do you find g(h(1))?

Back

First, calculate h(1) = -3(1) + 2 = -1. Then, substitute -1 into g: g(-1) = 4(-1) + 1 = -3.

Front

What does the logarithmic equation ln(x) = 4 represent in exponential form?

Back

The equivalent exponential form is x = e^4.

Front

How do you simplify the expression (10 + 15i) - (48 - 30i)?

Back

Combine like terms: (10 - 48) + (15i + 30i) = -38 + 45i.

Front

What is the formula for the area of a circle?

Back

Area = πr^2, where r is the radius.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula used for?

Back

To find the roots of a quadratic equation ax^2 + bx + c = 0, use x = (-b ± √(b^2 - 4ac)) / (2a).

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction a/b, where a and b are integers. An irrational number cannot be expressed as a simple fraction.

Front

What is the definition of a function?

Back

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