Algebra 1 review

Front

What is the definition of exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase.

Front

What is the definition of exponential decay?

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease.

Front

What does it mean for a quadratic equation to open upwards?

Back

A quadratic equation opens upwards if the coefficient of the x² term is positive, resulting in a U-shaped graph.

Front

What does it mean for a quadratic equation to open downwards?

Back

A quadratic equation opens downwards if the coefficient of the x² term is negative, resulting in an upside-down U-shaped graph.

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) for the quadratic equation ax² + bx + c.

Front

What is a stem-and-leaf plot?

Back

A stem-and-leaf plot is a method of displaying quantitative data in a graphical format, similar to a histogram, to retain the original data values.

Front

How do you determine the minimum value in a data set?

Back

The minimum value is the smallest number in the data set.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the point(s) where the equations intersect, representing the values of the variables that satisfy all equations.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and can graph as a curve.

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.