8th math STAAR Review

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a set of ordered pairs.

Front

How do you write a function that represents savings over time?

Back

The function can be written as t = mn + b, where m is the amount saved per time period, n is the number of time periods, and b is the initial amount saved.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function, indicating how much the output (y) changes for a unit change in the input (x).

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers as a product of a number between 1 and 10 and a power of 10, making it easier to work with very large or very small numbers.

Front

How do you convert a number to scientific notation?

Back

To convert to scientific notation, move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y).

Front

What is the difference between a function and a relation?

Back

A relation is any set of ordered pairs, while a function is a specific type of relation where each input (x) is associated with exactly one output (y).

Front

How can you determine if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (x-value) with different second elements (y-values).

Front

What is the formula for calculating the total savings after n weeks?

Back

The formula is t = 10n + 25, where t is the total savings, n is the number of weeks, 10 is the amount saved per week, and 25 is the initial amount.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, which means it has a constant rate of change and can be expressed in the form y = mx + b.