Algebra Support Final Exam Review

Front

What is a Rational Number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

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

Back

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

Front

How do you find the midpoint of a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is calculated using the formula M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does a positive association in a scatterplot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

Front

What is function notation?

Back

Function notation is a way to denote a function using symbols, typically written as f(x) to represent the output of the function f for the input x.

Front

What is the definition of a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the variable that is manipulated or changed, while the dependent variable is the variable that is measured or affected.

Front

How do you determine if a number is rational or irrational?

Back

A number is rational if it can be expressed as a fraction of two integers; it is irrational if it cannot be expressed in this way.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean for two variables to have a negative association?

Back

A negative association means that as one variable increases, the other variable tends to decrease.