TSIA2 math diagnostic

Front

What are the factors of the quadratic expression 2x²-5x-3?

Back

The factors are (x-3)(2x+1).

Front

How do you calculate the range of a set of numbers?

Back

The range is calculated by subtracting the smallest number from the largest number in the set.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If a picture frame is enlarged, how do you find the increase in area?

Back

Calculate the area of the new frame and subtract the area of the original frame.

Front

What is the value of the exponential function f(x) = 5^x at x = 3?

Back

f(3) = 125.

Front

If the area of a square is given, how do you find the length of a side?

Back

The length of a side is found by taking the square root of the area.

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0.

Front

What is the vertex of a parabola represented by a quadratic equation?

Back

The vertex is the highest or lowest point of the parabola, found using the formula x = -b/(2a).

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b in ax² + bx + c.

Front

What is the difference between the mean and median of a data set?

Back

The mean is the average, while the median is the middle value when the data is ordered.