Systems of Equations Word Problems

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 is the point(s) where the equations intersect.

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 'S' represent in the context of ticket sales?

Back

In the ticket sales problem, 'S' represents the number of student tickets sold.

Front

What does 'A' represent in the context of ticket sales?

Back

In the ticket sales problem, 'A' represents the number of adult tickets sold.

Front

How do you set up an equation for total receipts from ticket sales?

Back

Multiply the number of each type of ticket sold by its price and sum them to equal the total receipts.

Front

What is the first equation to set up for the animal problem involving horses and chickens?

Back

x + y = 15, where x is the number of horses and y is the number of chickens.

Front

What is the second equation for the animal problem involving legs?

Back

4x + 2y = 44, where x is the number of horses and y is the number of chickens.

Front

How do you represent the cost of squash and zucchini in equations?

Back

5q + 2z = 1.32 for the first purchase, and 3q + 1z = 0.75 for the second purchase.

Front

What do 'q' and 'z' represent in the vegetable cost problem?

Back

'q' represents the cost of one squash, and 'z' represents the cost of one zucchini.

Front

How do you set up the equations for Nancy's grocery purchases?

Back

4x + 6y = 13 for Monday's purchase, and 3x + 7y = 13.5 for Wednesday's purchase.