Practice Resource

Here is an equation that represents a function: 72x+12y=60.Select all the different equations that describe the same function:

1. 120y+720x=600
2. y=5−6x
3. 2y+12x=10
4. y=5+6x
5. x=56−y6
6. 7x+2y=6
7. x=56+y6

1. Graph a system of linear equations with no solutions.
2. Write an equation for each line you graph.

Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.

1. Write an equation relating the two variables.
2. Rearrange the equation so b is the independent variable.
3. Rearrange the equation so r is the independent variable.

The amount Lin’s sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour.

1. Write an equation in the form y=kx to describe this situation, where xrepresents the hours she works and y represents the dollars she earns.
2. Is y a function of x? Explain how you know.
3. Write an equation describing x as a function of y.