ACT Math - 10 questions

Front

What is the average of a set of numbers?

Back

The average (or mean) is calculated by adding all the numbers together and dividing by the total count of numbers.

Front

How do you find the 6th number if the average of 6 numbers is known?

Back

To find the 6th number, multiply the average by 6 and then subtract the sum of the first 5 numbers.

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you shift a function vertically?

Back

To shift a function vertically, you add or subtract a constant from the function's output (y-value).

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Front

How do you find the midpoint between two points?

Back

The midpoint M between two points (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

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

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

How do you determine if a line is increasing or decreasing?

Back

A line is increasing if its slope (m) is positive and decreasing if its slope is negative.