8th Grade Math STAAR Review 1-19

Front

What is the relationship between energy and light output in lightbulbs?

Back

The relationship can be described as a direct association; as energy increases, light output typically increases.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a transformation in mathematics?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

How do you solve the equation 12x - 15 = 6 - 3x?

Back

To solve for x, combine like terms: 12x + 3x = 6 + 15, resulting in 15x = 21, so x = 21/15 or x = 7/5.

Front

What defines a function in mathematics?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

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 purpose of graphing a function?

Back

Graphing a function visually represents the relationship between variables, making it easier to analyze and interpret.

Front

What does it mean for a graph to represent y as a function of x?

Back

It means that for every x-value, there is exactly one corresponding y-value, which can be verified using the vertical line test.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.