NC Math 3 Partial Check-Up

Front

What is the process to combine fractions with the same denominator?

Back

Front

What is the formula for finding the speed of a boat in still water given its speed upstream and the speed of the current?

Back

The speed of the boat in still water can be calculated using the formula: Speed of boat = Speed upstream + Speed of current.

Front

Back

This expression represents exponential growth, where a bee hive starts with an initial population of 50 and increases by 0.4% per year.

Front

How do you find the roots of a quadratic function?

Back

Front

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

Back

Front

Back

Front

What is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and are represented by a straight line, while quadratic functions have a variable rate of change and are represented by a parabola.

Front

What is the formula for the distance between two points on a number line?

Back

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values increase, the output values also increase. This is often observed in the graph of the function sloping upwards.

Front

How do you determine if a function has a maximum or minimum value?

Back

To determine if a function has a maximum or minimum value, analyze the vertex of the parabola for quadratic functions or use calculus for more complex functions.