# Algebra 17 August 2016

Algebra 17 August 2016 Questions Answer Keys

The University Of The State Of New York
Regents High School Examination
Algebra I
Wednesday, August 17, 2016 — 8:30 to 11:30 a.m., only
Student Name _________________________________________________________
School Name __________________________________________________________

1. The graph below shows the distance in miles, m, hiked from a camp in h hours. Which hourly interval had the greatest rate of change?

• (1) hour 0 to hour 1
• (2) hour 1 to hour 2
• (3) hour 2 to hour 3
• (4) hour 3 to hour 4
Answer: (1) hour 0 to hour 1

2. The solution of an equation with two variables, x and y, is

• (1) the set of all x values that make y = 0
• (2) the set of all y values that make x = 0
• (3) the set of all ordered pairs, (x,y), that make the equation true
• (4) the set of all ordered pairs, (x,y), where the graph of the equation crosses the y-axis
Answer: (3) the set of all ordered pairs, (x,y), that make the equation true

3. Which statistic can not be determined from a box plot representing the scores on a math test in Mrs. DeRidder’s algebra class?

• (1) the lowest score
• (2) the median score
• (3) the highest score
• (4) the score that occurs most frequently
Answer: (4) the score that occurs most frequently

4. Which chart could represent the function f(x) = – 2x + 6? Answer: (4)

5. If f(n) = (n – l)2 + 3n, which statement is true?

• (1) f(3) = – 2
• (2) f(– 2) = 3
• (3) f(– 2) = – 15
• (4) f(– 15) = – 2
Answer: (2) f(– 2) = 3

6. The table below shows 6 students’ overall averages and their averages in their math class. If a linear model is applied to these data, which statement best describes the correlation coefficient?

• (1) It is close to – 1.
• (2) It is close to 1.
• (3) It is close to 0.
• (4) It is close to 0.5.
Answer: (2) It is close to 1.

7. What is the solution to 2h + 8 > 3h – 6?

• (1) h < 14
• (2) h < 14/5
• (3) h < 14
• (4) h > 14
Answer: (1) h < 14

8. Which expression is equivalent to 36x2 – 100?

• (1) 4(3x – 5)(3x – 5)
• (2) 4(3x + 5)(3x – 5)
• (3) 2(9x – 25)(9x – 25)
• (4) 2(9x + 25)(9x – 25)
Answer: (2) 4(3x + 5)(3x – 5)

9. Patricia is trying to compare the average rainfall of New York to that of Arizona. A comparison between these two states for the months of July through September would be best measured in

• (1) feet per hour
• (2) inches per hour
• (3) inches per month
• (4) feet per month
Answer: (3) inches per month

10. Which function defines the sequence – 6, –10, –14, –18, …, where f(6) = –26?

• (1) f(x) = 24x – 2
• (2) f(x) = 4x – 2
• (3) f(x) = 2x + 32
• (4) f(x) = x – 26
Answer: (1) f(x) = 24x – 2

11. Which function has the greatest y-intercept?

• (1) f(x)
• (2) 2x + 3y = 12
• (3) the line that has a slope of 2 and passes through (1,24) Answer: (4)

12. What is the product of 2x + 3 and 4x2 – 5x + 6?

• (1) 8x3 – 2x2 + 3x + 18
• (2) 8x3 – 2x2 – 3x + 18
• (3) 8x3 + 2x2 – 3x + 18
• (4) 8x3 + 2x2 + 3x + 18
Answer: (3) 8x3 + 2x2 – 3x + 18

13. The height of a rocket, at selected times, is shown in the table below. Based on these data, which statement is not a valid conclusion?

• (1) The rocket was launched from a height of 180 feet.
• (2) The maximum height of the rocket occurred 3 seconds after launch.
• (3) The rocket was in the air approximately 6 seconds before hitting the ground.
• (4) The rocket was above 300 feet for approximately 2 seconds.
Answer: (3) The rocket was in the air approximately 6 seconds before hitting the ground.

14. A parking garage charges a base rate of \$3.50 for up to 2 hours, and an hourly rate for each additional hour. The sign below gives the prices for up to 5 hours of parking. Which linear equation can be used to find x, the additional hourly parking rate?

• (1) 9.00 + 3x = 20.00
• (2) 9.00 + 3.50x = 20.00
• (3) 2x + 3.50 = 14.50
• (4) 2x + 9.00 = 14.50
Answer: (3) 2x + 3.50 = 14.50

15. Which function has a constant rate of change equal to – 3? Answer: (4) 2y = – + 10

16. Kendal bought x boxes of cookies to bring to a party. Each box contains 12 cookies. She decides to keep two boxes for herself. She brings 60 cookies to the party. Which equation can be used to find the number of boxes, x, Kendal bought?

• (1) 2x – 12 5 60
• (2) 12x – 2 = 60
• (3) 12x – 24 = 60
• (4) 24 – 12x = 60
Answer: (3) 12x – 24 = 60

17. The table below shows the temperature, T(m), of a cup of hot chocolate that is allowed to chill over several minutes, m. Which expression best fits the data for T(m)?

• (1) 150(0.85) m
• (2) 150(1.15) m
• (3) 150(0.85) m – 1
• (4) 150(1.15)m – 1
Answer: (1) 150(0.85) m

18. As x increases beyond 25, which function will have the largest value?

• (1) f(x) = 1.5x
• (2) g(x) = 1.5x + 3
• (3) h(x) = 1.5x2
• (4) k(x) = 1.5x3 + 1.5x2
Answer: (1) f(x) = 1.5x

19. What are the solutions to the equation 3x2 + 10x = 8?

• (1) 2/3 and – 4
• (2) – 2/3 and – 4
• (3) 4/3 and – 2
• (4) – 4/3 and 2
Answer: (1) 2/3 and – 4

20. An online company lets you download songs for \$0.99 each after you have paid a \$5 membership fee. Which domain would be most appropriate to calculate the cost to download songs?

• (1) rational numbers greater than zero
• (2) whole numbers greater than or equal to one
• (3) integers less than or equal to zero
• (4) whole numbers less than or equal to one
Answer: (2) whole numbers greater than or equal to one

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