S24 A1 Benchmark - Part 2 AMAZING RACE

14. 14.

15. If f(n, p) = 2n - 3p ), what is the value of f(4, 1)? )

• -10

• -4

• 1

• 5

15. 15.

16. A coffee shop owner decides to sell branded items as an additional way to make money. There are 70 stickers and 45 mugs available for purchase initially, and 10 stickers and 5 mugs are sold per day. Which statement is true?

• The point (5, 20) represents there being 20 stickers and 20 mugs available for purchase after 5 days.

• The point (5, 20) represents there being a total of 20 stickers and mugs available for purchase after 5 days.

• The point (20, 5) represents there being 20 stickers and 20 mugs available for purchase after 5 days.

• The point (20, 5) represents there being a total of 20 stickers and mugs available for purchase after 5 days.

16. 16.

Consider the graph of the linear equation.

Which statement is true?

• The point (-8, -10) is a solution to the linear equation.

• The point (-3, 0) is a solution to the linear equation.

• The point (0, 6) is a solution to the linear equation.

• The point (8, 1) is a solution to the linear equation.

17. 17.

The expression 64(1 − 0.1)^t represents the number of hammers in a store t weeks after the hammers are delivered to the store. What does (1 − 0.1) represent?

• the factor by which the number of hammers decreases 10 times each week

• the factor by which the number of hammers decreases each week

• the factor by which the number of hammers increases 10 times each week

• the factor by which the number of hammers increases each week

18. 18.

Consider the table of values for the function f(x). For which value of g would f(x) remain a function?

• A) -3

• B) -1

• C) 1

• D) 4

19. 19.

20. What is the value of x in the equation 3x² - 42x + 147 = 0?

• A) 7

• B) 3/7

• C) -3/7

• D) -7

20. 20.

21. Which function, h(x), represents the graph of the function g(x) = (x - 4)² + 3 with a vertical shift 2 units down and a horizontal shift 5 units to the left?

• A) h(x) = (x - 9)² + 5

• B) h(x) = (x - 6)² - 2

• C) h(x) = (x - 2)² + 8

• D) h(x) = (x + 1)² + 1

20. 21.

A performer is selling tickets to a show. The graph shows how many tickets are available, y, after x hours on sale, where 0 ≤ x ≤ 10. Which statement is true?

• The function is increasing, and the minimum of the function is located at (0, 450).

• The function is increasing, and the maximum of the function is located at (0, 450).

• The function is decreasing, and the minimum of the function is located at (0, 450).

• The function is decreasing, and the maximum of the function is located at (0, 450).

22. 22.

Which expression is equivalent to 21y² - ½y(-6 - 12y) + 14?

• 15y² + 3y + 8

• 21y² + 6y + 17

• 24y² + 3y + 10

• 27y² + 3y + 14

23. 23.

24. A landscaper uses a rope to support a tree as it grows.

25. - The rope is attached to the centermost point of the tree's trunk 9 feet above the base of the tree's trunk.

26. - Each end of the rope is attached to the ground on either side of the base of the tree's trunk.

The landscaper graphs the path of the rope on a coordinate plane.

Which equation best represents the graph?

• y = -4x² - 9

• y = -4x² + 9

• y = 4x² - 9

• y = 4x² + 9