Algebra 26 January 2017 Questions Answer Keys

**The University Of The State Of New York**

Regents High School Examination

Algebra I

Thursday, January 26, 2017 — 1:15 to 4:15 p.m., only

Student Name _________________________________________________________

School Name __________________________________________________________

**1. Which expression is equivalent to 16x ^{2} – 36?**

- (1) 4(2x – 3)(2x – 3)
- (2) 4(2x + 3)(2x – 3)
- (3) (4x – 6)(4x – 6)
- (4) (4x + 6)(4x + 6)

**2. What is the solution set of the equation (x–2)(x – a) = 0?**

- (1) – 2 and a
- (2) – 2 and – a
- (3) 2 and a
- (4) 2 and – a

**3. Analysis of data from a statistical study shows a linear relationship in the data with a correlation coeffi cient of – 0.524. Which statement best summarizes this result?**

- (1) There is a strong positive correlation between the variables.
- (2) There is a strong negative correlation between the variables.
- (3) There is a moderate positive correlation between the variables.
- (4) There is a moderate negative correlation between the variables.

**4. Boyle’s Law involves the pressure and volume of gas in a container. It can be represented by the formula P _{1}V_{1} = P_{2}V_{2} When the formula is solved for P_{2}, the result is**

**5. A radio station did a survey to determine what kind of music to play by taking a sample of middle school, high school, and college students. They were asked which of three different types of music they prefer on the radio: hip-hop, alternative, or classic rock. The results are summarized in the table below.**

What percentage of college students prefer classic rock?

- (1) 14%
- (2) 28%
- (3) 33%
- (4) 58%

**6. Which function has zeros of – 4 and 2?**

**7. Which expression is equivalent to 2(3g – 4) – (8g + 3)?**

- (1) – 2g – 1
- (2) – 2g – 5
- (3) – 2g – 7
- (4) – 2g – 11

**8. In 2014, the cost to mail a letter was 49¢ for up to one ounce. Every additional ounce cost 21¢. Which recursive function could be used to determine the cost of a 3-ounce letter, in cents?**

- (1) a
_{1}= 49; a_{n}= a_{n – 1}+ 21 - (2) a
_{1}= 0; a_{n}= 49a_{n – 1}+ 21 - (3) a
_{1}= 21; a_{n}= a_{n – 1}+ 49 - (4) a
_{1}= 0; a_{n}= 21a_{n – 1}+ 49

**9. A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D = 280 – 59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the**

- (1) car’s distance from Albany
- (2) speed of the car
- (3) distance between Buffalo and Albany
- (4) number of hours driving

**10. Faith wants to use the formula C (f) = 5/9 (f – 32) to convert degrees Fahrenheit f, to degrees Celsius, C (f). If Faith calculated C(68), what would her result be?**

- (1) 20° Celsius
- (2) 20° Fahrenheit
- (3) 154° Celsius
- (4) 154° Fahrenheit

**11. Which scenario represents exponential growth?**

- (1) A water tank is fi lled at a rate of 2 gallons/minute.
- (2) A vine grows 6 inches every week.
- (3) A species of fl y doubles its population every month during the summer.
- (4) A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.

**12. What is the minimum value of the function y = x + 3| – 2?**

- (1) – 2
- (2) 2
- (3) 3
- (4) – 3

**13. What type of relationship exists between the number of pages printed on a printer and the amount of ink used by that printer?**

- (1) positive correlation, but not causal
- (2) positive correlation, and causal
- (3) negative correlation, but not causal
- (4) negative correlation, and causal

**14. A computer application generates a sequence of musical notes using the function f(n) = 6(16) ^{n}, where n is the number of the note in the sequence and f(n) is the note frequency in hertz. Which function will generate the same note sequence as f(n)?**

- (1) g(n) = 12(2)
^{4n} - (2) h(n) = 6(2)
^{4n} - (3) p(n) = 12(4)
^{2n} - (4) k(n) = 6(8)
^{2n}

**15. Which value of x is a solution to the equation 13 – 36x ^{2} = – 12?**

- (1) 36/25
- (2) 25/36
- (3) – 6/5
- (4) – 5/6

**16. Which point is a solution to the system below?**

2y < – 12x + 4

y < – 6x + 4

- (1) (1, 1/2)
- (2) (0,6)
- (3) (– 1/2, 5)
- (4) (– 3,2)

**17. When the function f(x) = x ^{2} is multiplied by the value a, where a > 1, the graph of the new function, g(x) = ax^{2}**

- (1) opens upward and is wider
- (2) opens upward and is narrower
- (3) opens downward and is wider
- (4) opens downward and is narrower

**18. Andy has $310 in his account. Each week, w, he withdraws $30 for his expenses. Which expression could be used if he wanted to fi nd out how much money he had left after 8 weeks?**

- (1) 310 – 8w
- (2) 280 + 30(w – 1)
- (3) 310w – 30
- (4) 280 – 30(w – 1)

**19. The daily cost of production in a factory is calculated using c(x) = 200 + where x is the number of complete products manufactured. Which set of numbers best defi nes the domain of c(x)?**

- (1) integers
- (2) positive real numbers
- (3) positive rational numbers
- (4) whole numbers

**20. Noah conducted a survey on sports participation. He created the following two dot plots to represent the number of students participating, by age, in soccer and basketball.**

Which statement about the given data sets is correct?

- (1) The data for soccer players are skewed right.
- (2) The data for soccer players have less spread than the data for basketball players.
- (3) The data for basketball players have the same median as the data for soccer players.
- (4) The data for basketball players have a greater mean than the data for soccer players.

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