8th Math Summer Enrichment 2025

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you calculate the diameter of a sphere if you know the radius?

Back

Diameter = 2 × Radius.

Front

What is a function in mathematics?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How do you determine if a mapping represents a function?

Back

Check if each x-value corresponds to exactly one y-value.

Front

What is a scatterplot?

Back

A graph that shows the relationship between two variables using dots to represent data points.

Front

How do you find the total cost of an item with additional purchases?

Back

Use the equation: Total Cost = Initial Cost + (Cost per item × Number of items).

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What does it mean for two quantities to be proportional?

Back

They maintain a constant ratio to each other.

Front

What is the purpose of using variables in equations?

Back

Variables represent unknown values that can change.