TSIA Practice Test

Front

What is the probability of selecting a student taking pre-calculus but not algebra if there are 80 students, 60 in algebra, and 15 in both?

Back

The probability is 1/4.

Front

How do you find the median of a set of ratings?

Back

To find the median, arrange the ratings in order and select the middle value.

Front

What is the equation of a line that passes through the point (-1, 2)?

Back

Any line that passes through (-1, 2) can be represented by the equation y - 2 = m(x + 1), where m is the slope.

Front

How do you calculate the slope of a line given two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the factored form of x^4 - 16?

Back

The factored form is (x + 2)(x - 2)(x^2 + 4).

Front

What is the definition of median in statistics?

Back

The median is the middle value in a list of numbers sorted in ascending order.

Front

What does it mean for a line to have a slope of -2?

Back

A slope of -2 means that for every 1 unit increase in x, y decreases by 2 units.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you determine if a point lies on a given line?

Back

Substitute the x-value of the point into the line's equation and check if the resulting y-value matches.

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.