Math 3 EOC Review

Front

What is the value of x that satisfies the equation if the solution is 32?

Back

x = 32

Front

If the multiplicity of a root is 2, what will the graph do at that root?

Back

The graph will bounce off the root.

Front

Identify the function represented by the graph that oscillates between -1 and 1.

Back

y = sin x

Front

What is the formula for the area of a sector in a circle?

Back

Area = \frac{1}{2} r^2 \theta, where r is the radius and θ is the angle in radians.

Front

Calculate the area of a minor sector with a radius of 5 cm and an angle of 60 degrees.

Back

Area = \frac{1}{2} \times 5^2 \times \frac{\pi}{3} = \frac{25\pi}{6} \approx 13.09 cm^2.

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify the rational expression \frac{x^2 - 1}{x - 1}?

Back

Factor the numerator: \frac{(x - 1)(x + 1)}{(x - 1)} = x + 1, for x ≠ 1.

Front

What is the Pythagorean theorem?

Back

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: a^2 + b^2 = c^2.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.

Front

What does it mean for a function to be increasing?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).