Writing Systems of Equations

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution to the system is the set of values that satisfy all equations simultaneously.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Front

What does the variable 'b' represent in the context of a print shop problem?

Back

In the print shop problem, 'b' represents the number of black-and-white copies purchased.

Front

What does the variable 'c' represent in the context of a print shop problem?

Back

In the print shop problem, 'c' represents the number of color copies purchased.

Front

What is the equation for the total number of copies in the print shop problem?

Back

b + c = 68, where b is the number of black-and-white copies and c is the number of color copies.

Front

What is the equation for the total cost in the print shop problem?

Back

0.08b + 0.15c = 6.00, where 0.08 is the cost of each black-and-white copy and 0.15 is the cost of each color copy.

Front

How do you set up a system of equations for ticket sales?

Back

Identify the number of tickets sold and their prices, then create equations based on total sales for each day.

Front

What do 's' and 'c' represent in the ticket sales problem?

Back

In the ticket sales problem, 's' represents the price of a senior citizen ticket and 'c' represents the price of a child ticket.

Front

What is the equation for the total sales on the first day of ticket sales?

Back

3s + 1c = 38, where 3 is the number of senior tickets and 1 is the number of child tickets.

Front

What is the equation for the total sales on the second day of ticket sales?

Back

3s + 2c = 52, where 3 is the number of senior tickets and 2 is the number of child tickets.