Whole Group Bootcamp Mix Review

Front

What is the slope of a line that passes through two points?

Back

The slope (m) of a line that passes through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating.

Front

What defines a function in mathematics?

Back

A relation is a function if each input (x-value) has exactly one output (y-value).

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

How can you identify the slope of a graph?

Back

The slope of a graph indicates its steepness and direction. A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

What is the formula for calculating the slope between two points?

Back

The formula for slope (m) is: m = (y2 - y1) / (x2 - x1).

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as such.

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as the x-value increases, the y-value decreases.

Front

What does it mean if a graph has a slope of zero?

Back

A slope of zero means the line is horizontal, indicating that the y-value does not change as the x-value changes.