Alg Quarter 2 Study Guide (final)

Front

What is the formula for exponential growth?

Back

The formula for exponential growth is f(t) = a(1 + r)^t, where 'a' is the initial amount, 'r' is the growth rate, and 't' is time.

Front

What does a 15% increase in value mean?

Back

A 15% increase means that the value grows by 15% of its current value each year.

Front

How do you represent a system of inequalities graphically?

Back

A system of inequalities is represented by shading the regions of the graph that satisfy all inequalities.

Front

What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

Front

What does the variable 'b' represent in the function f(x) = a⋅b^x?

Back

In the function f(x) = a⋅b^x, 'b' represents the growth (if b > 1) or decay (if 0 < b < 1) factor.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How do you determine the best method for solving a system of equations?

Back

The best method depends on the specific equations; for example, use elimination for equations that are easily manipulated.

Front

What is the initial value in an exponential function?

Back

The initial value is the starting amount before any growth or decay occurs, represented by 'a' in the function f(x) = a⋅b^x.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if its output values rise as the input values increase.