Math Semester Exam Practice

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship in a graph?

Back

A graph shows a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

Which graph does NOT show a proportional relationship?

Back

Graph C does not show a proportional relationship.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as 'k' in the equation y = kx.

Front

If y = 2x, what is the value of y when x = 5?

Back

y = 10 when x = 5.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear function where 'm' is the slope and 'b' is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y = 4x - 1?

Back

The y-intercept is -1.

Front

If Rob sells 5 whistles and the equation is y = 2x, what is his revenue?

Back

Rob's revenue is $10.