Aisha used squares to make the pattern of figures below.

Complete the following in the Answer Book:

• Using the pattern, draw Figure 5 and Figure 6 in the Answer Book.
• Complete the table in the Answer Book to determine the perimeter of each figure.
• Write an expression that can be used to determine the perimeter of the nth figure in this pattern.
• If this pattern continues, which figure will have a perimeter of 140 centimeters? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.

A fish tank empties at a constant rate. The table below shows the volume of water left in the fish tank after each minute.

Which of these equations describes the volume of water in the tank as a function of time?

Wind makes the air feel colder than the actual temperature. This is called wind chill. The table below shows the effect that a 20-mile-per-hour wind has on the actual air temperature.

Which of these equations represents the relationship between the actual temperature (t) and the wind-chill temperature (w)?

The table below shows a relationship between x and y.

Which of these equations represents this relationship?

Stephanie must complete class projects for history and mathematics. Each project is worth a maximum of 100 points if she turns it in on time. Each teacher uses a different method to calculate the maximum number of points that a student can earn for a late paper. The tables below show the two methods.

Complete the following in the Answer Book:

• Complete the tables to show the number of possible points for projects that are 4 and 5 days late.
• How many days late can Stephanie turn in each project and still possibly receive a score of 65 or better on each project? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
• Stephanie can complete only one project on time. The second project will be only one day late. To receive the maximum total number of possible points, which project should she complete first? Use mathematics to justify your answer.
• Describe the method that each teacher uses to determine the maximum possible points that a student can earn for a late paper.

Look at the graph below.

Which of these tables corresponds to the line that is graphed?

Certain ice crystals have six sides. Flakes are formed when these six-sided ice crystals connect. One pattern is shown below.

Complete the following in the Answer Book:

• Complete the table to show the total number of crystals in each of the first 6 stages of flake growth.

• Based on the drawing at Stage 3, draw the pattern for the same flake at Stage 4.
• Draw a scatter plot using the data in the completed table.
• Write an equation that represents the total number of crystals (c), at each stage number (n). Use mathematics to explain how you determined your equation. Use words, symbols, or both in your explanation.

Tommy used building blocks to create the designs below.

The table below shows the number of blocks in each design.

Which of these equations shows the relationship between the design number (d) and the number of blocks (b) in the design?

A library is trying to decrease the number of overdue books by increasing the fines. They plan to charge $0.25 for the first day a book is late and $0.10 for each additional day. Which of these tables represents the fines for the first five days a book is late?

The table below shows a relationship between x and y.

Which of these equations represents this relationship?

Park rangers determined that the current deer population in a park is 78. Ranger Jones predicted that the deer population will increase by 6 deer each year. Ranger Percy predicted that the deer population will increase by 8 deer each year.

Complete the following in the Answer Book:

• Complete the tables in the Answer Book for Ranger Jones and Ranger Percy.
• For each ranger's prediction, write an expression that can be used to determine the deer population in the park n years from now.
• What is the difference in the number of deer that Ranger Percy predicted will be in the park 10 years from now compared to Ranger Jones' 10-year prediction? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.

Harry works cleaning houses. He charges $15 per hour plus a $10 travel fee to clean each house. Which of these tables shows the total amount (c) charged, in dollars, to clean a house for h hours?

The table below shows a relationship between x and y.

Which of these equations represents this relationship?

The table below shows a linear relationship between x and y.

Which of these graphs shows this relationship?

The table below shows a relationship between x and y.

Which of these equations represents this relationship?

The table below shows a relationship between x and y.

Complete the following in the Answer Book:

• What are the values of y when x is 10 and x is 11?
• What is the relationship between the x-values and the y-values? Use mathematics to explain the relationship. Use words, symbols, or both in your explanation.
• Fill in the boxes to the right of the table in the Answer Book by finding the difference between the y-values of each of the successive terms. Describe the pattern that exists between the differences that you found.

  

• What is the difference between the y-values when x is 10 and when x is 11? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.

Toy blocks are used to build a tower. The surface area and volume of the tower built with these blocks is shown in the table below.

Complete the following in the Answer Book:

• Complete the table in the Answer Book to determine the surface area and the volume for 5 and 6 blocks.
• Write an algebraic expression to represent the relationship between the number of blocks and the surface area of the tower. Use mathematics to justify your answer.
• If 10 blocks are used, what is the surface area and the volume of the tower? Use mathematics to explain how you determined your answers. Use words, symbols, or both in your explanation.

The table below shows a relationship between x and y.

Which of these equations describes this relationship?

A pattern of numbers is determined by the rule shown below.

To find y multiply x by -2. Then add 3.

Which of these graphs represents this pattern?

A triangle, a quadrilateral, a pentagon, and a hexagon are shown below. By drawing a diagonal from 1 vertex, the quadrilateral is divided into 2 non-overlapping triangles. Since the sum of the angle measures of a triangle is 180°, the sum of the measures of the quadrilateral is 360°. By drawing the diagonals from 1 vertex, the pentagon is divided into 3 non-overlapping triangles.

Complete the following in the Answer Book:

• In the Answer Book, draw the diagonals from 1 vertex of the hexagon so that the hexagon is divided into non-overlapping triangles.
• Use the polygons above to complete the table in the Answer Book.

  Polygon	Number of Sides	Number of Non-Overlapping Triangles	Sum of Angle Measures
  Triangle	3	1	180°
  Quadrilateral	4	2	360°
  Pentagon	5	3	?
  Hexagon	?	?	?

• Describe how the number of sides of each polygon is related to the number of non-overlapping triangles. Use mathematics to justify your answer.
• Describe how the number of non-overlapping triangles in a polygon is related to the sum of its angle measures. Use mathematics to justify your answer.

Mr. Smith’s pool is filled with water to a height of 48 inches. It has developed a slow leak. At the end of the first day, after the leak started, the height of the water decreased by 0.5 inches. If this rate continues, which of these tables represents the height of the water at the end of the second, fifth, and seventh day?

Jared wants to rent a carpet cleaner. The table below shows the cost of renting a carpet cleaner.

Complete the following in the Answer Book:

• Complete the table to show the cost of renting a carpet cleaner for 5 and 6 hours if this pattern continues.
• Write an equation to represent the relationship between the cost of renting a carpet cleaner and the number of hours that a carpet cleaner is rented.
• If Jared has $60, can he rent the carpet cleaner for 9 hours? Use mathematics to explain how you determined your answer. Use words, symbols, or both in your explanation.
• The store also sells the same carpet cleaner for $165, including tax. What is the maximum number of hours that the cost of renting the carpet cleaner is less than the cost of buying the carpet cleaner? Use mathematics to justify your answer.

The table below shows a relationship between x and y.

Which of these equations represents this relationship?

Look at the table below.

Which of these equations describes the relationship between the x-values and the y-values?

The table below shows a relationship between x and y.

Which equation represents this relationship?

In a recipe for spice cake, the ratio of flour to milk is 3 to 1. Which of these tables shows the correct amount of flour and milk needed to make more than one spice cake?