EOC Review 4

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

Given the function f(x) = -1.5x - 1, what is f(-2)?

Back

f(-2) = 2, so the coordinate point is (-2, 2).

Front

What is the formula for exponential decay?

Back

The formula is y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

If y = 100(0.78)^x, what does the base 0.78 represent?

Back

The base 0.78 represents the remaining percentage of the liquid after each week, which is 78%.

Front

What is the definition of an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

How do 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).

Front

In the equation y = mx + b, what does 'b' represent?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width (A = l * w).