8th Grade Math 1st Semester Exam

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise over run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation of a line y = mx + b.

Front

How do you express a number in scientific notation?

Back

To express a number in scientific notation, write it as a product of a number between 1 and 10 and a power of 10. For example, 0.0000457 = 4.57 x 10^-5.

Front

What does it mean for a relation to be a function?

Back

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

Front

What is proportionality in mathematics?

Back

Proportionality means that two quantities maintain a constant ratio. A graph representing proportionality will pass through the origin.

Front

How do you determine the slope from a graph?

Back

The slope can be determined by selecting two points on the line, calculating the rise (change in y) and run (change in x), and using the formula slope = rise/run.

Front

What is the formula for slope-intercept form of a line?

Back

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

Front

What is the significance of the origin in a graph?

Back

The origin (0,0) is the point where the x-axis and y-axis intersect. It is significant in determining proportionality and the behavior of functions.

Front

How do you identify a function from a table of values?

Back

To identify a function from a table, check if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

Front

What is scientific notation?

Back

Scientific notation is a way of expressing very large or very small numbers using powers of ten, making them easier to read and work with.