Math III EOC Review #2

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is the range of the function f(x) = -|x + 3| + 2?

Back

The range is y ≤ 2.

Front

If you start on the unit circle at (0, -1) and move 300° counterclockwise, what angle will you end up on the unit circle?

Back

You will end up at 210°.

Front

How is the function y = 2^x transformed to make y = 2^(x - 5) + 3?

Back

It is translated right 5 units and up 3 units.

Front

What is the coordinate on the unit circle at 30°?

Back

The coordinate is (√3/2, 1/2).

Front

What does the unit circle represent in trigonometry?

Back

The unit circle represents all the angles and their corresponding coordinates (cosine, sine) in a circle with a radius of 1 centered at the origin.

Front

What is the definition of a function?

Back

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

Front

What is the vertex form of a quadratic function?

Back

The vertex form is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

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

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.