Chapter 6 Review

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships into equations, and ensure the equations reflect the conditions given in the problem.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect, indicating that there are no values for the variables that satisfy all equations.

Front

What is the power of a power property in exponents?

Back

Front

Back

Front

What is an exponential function?

Back

Front

How do you determine the function from a table of values?

Back

Look for patterns in the values, identify the type of function (linear, exponential, etc.), and use the values to derive the function's equation.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to faster growth over time.

Front

What does the term 'base' refer to in an exponential function?

Back

The base is the constant value that is raised to a power in an exponential function, determining the rate of growth or decay.

Front

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

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.