8th Grade 1st Semester Review

Front

What is the cost structure for Company A's movie streaming service?

Back

Company A charges a $15 sign-up fee plus $1.50 per movie.

Front

What is the cost structure for Company B's movie streaming service?

Back

Company B has no sign-up fee but charges $2.25 per movie.

Front

How do you determine the number of movies at which both companies cost the same?

Back

Set the total costs equal: 15 + 1.50x = 2.25x, solve for x.

Front

In the equation y=mx+b, what does 'b' represent?

Back

'b' is the Y-intercept, the point where the line crosses the Y-axis.

Front

Convert the standard number 6,267,000 into scientific notation.

Back

6.267 x 10^6.

Front

What does it mean for an equation to show a proportional relationship?

Back

A proportional relationship means that the ratio between two quantities is constant.

Front

Does the equation y = 2x + 3 show a proportional relationship? Why or why not?

Back

No, because it has a constant term (3) which means it does not pass through the origin.

Front

What is a function in mathematical terms?

Back

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

Front

What is the definition of a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs.

Front

If an x-value has two y-values in a mapping diagram, what does that indicate?

Back

It indicates that the relation is not a function.