Algebra EOC Review

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = a(b^x), where 'a' is a constant, 'b' is the base (a positive real number), and 'x' is the exponent. It shows rapid growth or decay.

Front

What does the initial amount represent in an exponential growth function?

Back

The initial amount represents the value of the function when x = 0. It is the starting point before any growth occurs.

Front

How do you calculate a percentage increase?

Back

To calculate a percentage increase, use the formula: New Value = Original Value × (1 + Percentage Increase). For example, a 35% increase on $15 is calculated as $15 × (1 + 0.35) = $20.25.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What does 'no association' mean in a graph?

Back

'No association' means there is no discernible relationship between the two variables being plotted.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane, shading the region that satisfies each inequality. The solution is where the shaded regions overlap.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

What is a scatter plot?

Back

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a Cartesian plane.