Bell Ringer - ACT Question 55 and 56

Front

What is the area of a square if the side length is \( s \)?

Back

The area of a square is given by the formula \( A = s^2 \).

Front

If the area of square ABGF is \( \frac{1}{4} \) the area of square ACDE, what is the relationship between their side lengths?

Back

If the area of square ABGF is \( \frac{1}{4} \) the area of square ACDE, then the side length of ABGF is \( \frac{1}{2} \) the side length of ACDE.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees).

Front

How do you calculate the percentage of an area compared to a larger area?

Back

To calculate the percentage of an area compared to a larger area, use the formula: \( \text{Percentage} = \left( \frac{\text{Area of smaller region}}{\text{Area of larger region}} \right) \times 100 \% \).

Front

What is the mean of a data set?

Back

The mean is the average of a set of values, calculated by dividing the sum of all values by the number of values.

Front

What is the median of a data set?

Back

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

Front

What happens to the mean when the largest value in a data set is replaced with a much greater value?

Back

The mean will increase because the sum of the values increases while the number of values remains the same.

Front

What happens to the median when the largest value in a data set is replaced with a much greater value?

Back

The median will stay the same if the largest value is replaced, as long as the new value does not affect the middle position of the ordered data set.

Front

What is the formula for calculating the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: \( A = \text{length} \times \text{width} \).

Front

What is the significance of distinct values in a data set?

Back

Distinct values mean that all values in the data set are unique and no value is repeated.