TSI Math Practice Questions

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(l + w), where l is the length and w is the width.

Front

If the length of a rectangle is 18 feet longer than its width, how can we express this relationship mathematically?

Back

If w is the width, then the length l can be expressed as l = w + 18.

Front

How do you calculate the area of a rectangle?

Back

The area A of a rectangle is calculated using the formula A = l * w, where l is the length and w is the width.

Front

What does it mean for two variables to be directly proportional?

Back

Two variables x and y are directly proportional if there exists a constant k such that y = kx.

Front

If y = 2 when x = 3, what is the constant of proportionality k?

Back

To find k, use the equation 2 = k(3). Thus, k = 2/3.

Front

What is the median in a set of numbers?

Back

The median is the middle value when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

Front

How can you determine if a number could NOT be the median of a data set?

Back

A number cannot be the median if it is greater than the largest or less than the smallest number in the data set.

Front

What is a quadratic equation?

Back

Front

Back

The solutions can be found using factoring, completing the square, or the quadratic formula. The solutions are x = 3 and x = -1.

Front

What is the significance of the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero, representing the x-intercepts of the graph of the equation.