The area of a rectangle is represented by the formula where is the length and is the width. The length of the rectangle is 5.

Write an equation that makes it easy to find the width of the rectangle if we know the area and the length.

Noah is helping to collect the entry fees at his school's sports game. Student entry costs $2.75 each and adult entry costs $5.25 each. At the end of the game, Diego collected $281.25.

Select all equations that could represent the relationship between the number of students, , the number of adults, , and the dollar amount received at the game.

 is an equation to calculate the volume of a cylinder, , where represents the radius of the cylinder and represents its height.

Which equation allows us to easily find the height of the cylinder because it is solved for ?

The data represents the number of hours 10 students slept on Sunday night.

• 6
• 6
• 7
• 7
• 7
• 8
• 8
• 8
• 8
• 9

Are there any outliers? Explain your reasoning.

A catering company is setting up for a high school graduation party. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat 10 people.

1. Find a combination of small and large tables that seats exactly 150 people.
2. Let represent the number of small tables and represent the number of large tables. Write an equation to represent the relationship between and .
3. Explain what the point means in this situation.
4. Is the point a solution to the equation you wrote? Explain your reasoning.

Which equation has the same solution as ?

Noah is solving an equation and one of his moves is unacceptable. Here are the moves he made.

Which answer best explains why the “divide each side by step” is unacceptable?

Lin says that a solution to the equation  must also be a solution to the equation .

Write a convincing explanation about why this is true.