NC Math I EOC Review

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(length + width).

Front

If the width of a rectangle is 3/4 its length, how can you express the width in terms of the length?

Back

Width = (3/4) * Length.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be modeled linearly?

Back

It means that the relationship between the variables can be represented by a straight line, indicating a constant rate of change.

Front

How do you calculate the total cost using a formula with multiple variables?

Back

You substitute the values of the variables into the formula and perform the arithmetic operations as indicated.

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations in the data set, often due to variability or measurement error.

Front

How does removing an outlier affect the mean and median of a data set?

Back

Removing a high outlier typically decreases the mean more than the median because the mean is sensitive to extreme values.

Front

What is the relationship between the depth of water in a tank and time if the water is being pumped in at a constant rate?

Back

The depth of the water increases linearly over time.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

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

Back

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