Here is a linear equation in two variables: .

Solve the equation, first for and then for .

A chef bought $17.01 worth of ribs and chicken. Ribs cost $1.89 per pound and chicken costs $0.90 per pound. The equation represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to . Then, explain when it might be helpful to write the equation in these forms.

A car traveled 180 miles at a constant rate.

Bananas cost $0.50 each, and apples cost $1.00 each.

Select all the combinations of bananas and apples that Elena could buy for exactly $3.50.

A group of 280 elementary school students and 40 adults are going on a field trip. They are planning to use two different types of buses to get to the destination. The first type of bus holds 50 people, and the second type of bus holds 56 people.

Andre says that 3 of the first type of bus and 3 of the second type of bus will hold all of the students and adults going on the field trip. Is Andre correct? Explain your reasoning.

Elena says that equations A and B are not equivalent.

• Equation A:
• Equation B:

Write a convincing explanation as to why this is true.

To grow properly, each tomato plant needs 1.5 square feet of soil and each broccoli plant needs 2.25 square feet of soil. The graph shows the different combinations of broccoli and tomato plants in an 18 square foot plot of soil.

Match each point to the statement that describes it.

Select all the equations that are equivalent to the equation .

Han is solving an equation. He took steps that are acceptable but ended up with equations that are clearly not true.

What can Han conclude as a result of these acceptable steps?