Semester Exam Math Plus

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure. In dilation, it determines how much larger or smaller the image will be compared to the original figure.

Front

How do you determine if a relation is a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). If any x-value is repeated with different y-values, it is not a function.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small in a compact form, using powers of ten. For example, 7.652 x 10^5.

Front

Convert 352,300,000 to scientific notation.

Back

3.523 x 10^8.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each x-value corresponds to only one y-value. If an x-value is repeated with different y-values, it does not represent a function.

Front

What is the result of dilating the point (8, 12) by a scale factor of ¼?

Back

The new point after dilation would be (2, 3).

Front

What is the value of 7.652 x 10^5?

Back

765,200.

Front

Is the expression -2x - 40 a function?

Back

Yes, it is a function because it can be expressed as a linear equation with one output for each input.

Front

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

Back

A function has a unique output for each input, while a non-function has at least one input that corresponds to multiple outputs.

Front

How do you find the scale factor between two points?

Back

To find the scale factor, divide the coordinates of the dilated point by the coordinates of the original point.