patterns & coordinate grids summative

Mrs. Marston determined how many tubes of paint she would need for the students in her art classes to complete their projects. How many tubes of paint will she need for the class with 20 students? Complete the table and write the equation that represents the relationship between students (S) and tubes (T) of paint needed.

Suppose Jawan works 36 hours. Using the rule that relates the hours worked (H) to the amount earned (A), predict how much money he will earn in all.

• $648

• 324

• $300

• $270

Edward and Maria each make a pattern. The first five terms in each pattern are shown below. Circle the corresponding pairs and identify the relationship between Edward's pattern (E) and Maria's pattern (M). Hint: This is a 2-rule pattern.

Edward’s pattern: 0, 1, 2, 3, 4

Maria’s pattern: 1, 4, 7, 10, 13

• A. The difference between any term in Maria’s pattern and the corresponding term in Edward’s pattern is always an odd number.

• B. Each term in Edward’s pattern is double the corresponding term in Maria’s pattern.

• C. The difference between any term in Edward’s pattern and the corresponding term in Maria’s pattern is always a multiple of 2.

• D. Each term in Edward’s pattern is 3 less than the corresponding term in Maria’s pattern.

Nate is making a pattern of square tiles, as shown below. The side lengths of the tiles are 2 cm. Suppose Nate continues the pattern. What will be the perimeter of Figure 7?

• A. 14 centimeters

• B. 49 centimeters

• C. 56 centimeters

• D. 98 centimeters

Use the coordinate grid shows of the attractions in an amusement park. Which attraction is located at (4, 2)?

• a. ​ferris wheel

• b. swimming pool

• c. roller coaster

• d. water slide

The map shows the location of the attractions in an amusement park. In the map of the amusement park, how many units apart are the Petting Zoo and the Swimming Pool?

• a. 4 units

• b. 2 units

• c. 3 units

• d.​ 1 unit

Meredith made a table to show how much she read over four days. If Meredith reads 21 more pages on the 5th day, what will be the ordered pair she graphs? Highlight or circle the ordered pair that best represents the trend of the line on the coordinate grid.

• A. (5, 21)

• B. (21, 5)

• C. (5, 106)

• D. (106, 5)​

A cyclist rides at a constant speed of 30 kilometers per hour. The table shows the distance he travels after 0, 1, 2, and 3 hours of riding. Highlight or circle the graph that represents the data shown in the table.

• graph a

• graph b

• graph c

The graph shows the heights, in feet, of two helicopters as they lift off from the ground. Which describes a relationship shown in the graph? Highlight or circle the best description.

• A. The lines for the two heights will eventually intersect at a point other than (0, 0). ​

• B. The heights of both helicopters increase at the same rate.

• C. The height of helicopter A increases faster than the height of helicopter B.

• D. The difference in the heights of the helicopters decreases over time.