Fall benchmark 8th grade math

Front

What is a function?

Back

A function is a relationship between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

Which of the following is NOT a function?

Back

A relation where an input corresponds to multiple outputs is NOT a function.

Front

How do you represent a linear relationship between two variables?

Back

A linear relationship can be represented by a function in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula to calculate the cost of truffles per pound if 5 pounds cost $89.95?

Back

The cost per pound is calculated as y = (89.95/5)x.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and shows a constant ratio between the variables.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not pass through the origin and has a varying ratio between the variables.

Front

How can you approximate the time it takes to run a distance based on a scatter plot?

Back

You can use the trend of the data points in the scatter plot to estimate the time for a specific distance.

Front

What is the solution to the equation 0.25y + 0.05 = 0.15y + 0.01?

Back

The solution is y = 0.4.

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 y divided by the change in x (rise/run).

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.