Mathematics Expression Equivalence Flashcard

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities, often represented as 'r' in the equation y = rx.

Front

How do you calculate the total time taken to solve multiple math problems?

Back

Multiply the time taken to solve one problem by the number of problems.

Front

What is the equation form for a proportional relationship?

Back

The equation form for a proportional relationship is y = rx, where 'r' is the constant of proportionality.

Front

How do you find the value of an expression with parentheses?

Back

Use the order of operations: first solve the expression inside the parentheses, then multiply by any factors outside.

Front

What does the graph of a proportional relationship look like?

Back

The graph of a proportional relationship is a straight line that passes through the origin.

Front

What is the meaning of 'commission' in a sales context?

Back

Commission is a fee paid to an employee based on the sales they generate.

Front

How do you determine the number of items produced in a given time?

Back

Multiply the rate of production by the time period.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope represents the constant of proportionality, indicating how much y changes for a unit change in x.

Front

What is the result of multiplying a number by a sum?

Back

You can use the distributive property: a(b + c) = ab + ac.

Front

How do you express a relationship between two variables?

Back

You can express it using an equation, such as y = mx + b, where m is the slope and b is the y-intercept.