Which number is a solution of the inequality?

1. 10.6 < b

(1 point)

–18

–9

7

14

2.

(1 point)

1

–1

–9

–5

3. 8 < x(7 – x) (1 point)

2

8

–1

0

4. A new comedian is building a fan base. The table shows the number of people who attended his shows in the first, second, third, and fourth month of his career. Which graph could represent the data shown in the table?

(1 point)

5. The table shows the amount of money made by a summer blockbuster in each of the first four weeks of its theater release. Which graph could represent the data shown in the table?

(1 point)

6. In the diagram below, what is the relationship between the number of triangles and the perimeter of the figure they form?

Which of the following represents the relationship above? (1 point)

The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus the length of another side. The equation for the perimeter is P = 5n + 7.

The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus the length of the base. The equation for the perimeter is P = 7n + 5.

The perimeter, P, is equal to the length of a side of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of the base. The equation for the perimeter is P = 7n + 10.

The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of another side. The equation for the perimeter is P = 5n + 14.

7. The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week.

Is the above relationship a linear function?

(1 point)

yes

no

8. The ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. What is a rule that represents this function?

(1 point)

y = x8

y = 8x

y = (x + 8)2

y = 8x

9. The ordered pairs (1, 6), (2, 36), (3, 216), (4, 1296), and (5, 7776) represent a function. What is a rule that represents this function?

(1 point)

y = 6x

y = (x + 6)2

y = x6

y = 6x

10. Write a function rule for the area, A, of a triangle whose base, b, is 2 cm less than seven times the height, h. What is the area of the triangle when the height is 14 cm?

(1 point)

11. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

(1 point)

12. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

(1 point)

13. The function b(n) = 6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many lightbulbs are needed for 15 chandeliers?

(1 point)

90 lightbulbs

2 lightbulbs

96 lightbulbs

80 lightbulbs

Tell whether the sequence is arithmetic. If it is, what is the common difference?

14. 2, 7, 13, 20, . . . (1 point)

yes; 5

yes; 6

yes; 2

no

15.

(1 point)

16. Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write a rule to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 13 days?

(1 point)

A(n) = 130 + (n – 1)13; 286 inches

A(n) = 130 + (n – 1)13; 299 inches

A(n) = 130 + 13n; 286 inches

A(n) = 130 + 13n; 299 inches

17. Crystal earns $5.50 per hour mowing lawns.

a. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns.

b. How much does Crystal earn if she works 3 hours and 45 minutes?

(1 point)

18. A taxi company charges passengers $1.00 for a ride, and an additional $0.30 for each mile traveled. The function rule C = 0.30m + 1.00 describes the relationship between the number of miles m and the total cost of the ride c. If the taxi company will only go a maximum of 40 miles, what is a reasonable graph of the function rule? (1 point)

19. What is the graph of the function rule?

y= |3 x | – 1

(1 point)

20. In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they form?

Which of the following tables represent the relationship in the diagram above? (1 point)

Short Answer

Note: Your teacher will grade your response to the following questions to ensure that you receive proper credit for your answers.

21. Use the vertical line test to determine whether the relation is a function. Explain your response.

22. The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how the variables are related at various points on the