Algebra 17 June 2015 Questions Answer Keys

**The University of the State of New York**

REGENTS HIGH SCHOOL EXAMINATION

ALGEBRA I (Common Core)

Wednesday, June 17, 2015 — 1:15 to 4:15 p.m., only

Student Name:________________________________________________________

School Name: _________________________________________________________

**1. The cost of airing a commercial on television is modeled by the computations. function C(n) = 110n + 900, where n is the number of times the commercial is aired. Based on this model, which statement is true?**

- (1) The commercial costs $0 to produce and $110 per airing up to $900.
- (2) The commercial costs $110 to produce and $900 each time it is aired.
- (3) The commercial costs $900 to produce and $110 each time it is aired.
- (4) The commercial costs $1010 to produce and can air an unlimited number of times.

**2. The graph below represents a jogger’s speed during her 20-minute jog around her neighborhood.**

Which statement best describes what the jogger was doing during the 9–12 minute interval of her jog?

- (1) She was standing still.
- (2) She was increasing her speed.
- (3) She was decreasing her speed.
- (4) She was jogging at a constant rate.

**3. If the area of a rectangle is expressed as x ^{4} – 9y^{2} , then the product of the length and the width of the rectangle could be expressed as**

- (1) (x – 3y)(x + 3y)
- (2) (x
– 3y)(x^{2}+ 3y)^{2} - (3) (x
– 3y)(x^{2}– 3y)^{2} - (4) (x
+ y)(x – 9y)^{4}

**4. Which table represents a function?**

**5. Which inequality is represented in the graph below?**

- (1) y ≥ -3x + 4
- (2) y ≤ – 3x + 4
- (3) y ≥ – 4x – 3
- (4) y ≤ – 4x – 3

**6. Mo’s farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell?**

- (1) 11
- (2) 18
- (3) 65
- (4) 100

**7. Morgan can start wrestling at age 5 in Division 1. He remains in that division until his next odd birthday when he is required to move up to the next division level. Which graph correctly represents this information?**

**8. Which statement is not always true?**

- (1) The sum of two rational numbers is rational.
- (2) The product of two irrational numbers is rational.
- (3) The sum of a rational number and an irrational number is irrational.
- (4) The product of a nonzero rational number and an irrational number is irrational.

**9. The graph of the function fx = √x + 4 is shown below.**

The domain of the function is

- (1) { x | x > 0}
- (2) { x | x ≥ 0}
- (3) { x | x > – 4}
- (4) { x | x ≥ -4}

**10. What are the zeros of the function f(x) = x ^{2} – 13x – 30?**

- (1) – 10 and 3
- (2) 10 and – 3
- (3) – 15 and 2
- (4) 15 and – 2

**11. Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below shows the area of the photograph after each enlargement.**

What is the average rate of change of the area from the original photograph to the fourth enlargement, to the nearest tenth?

- (1) 4.3
- (2) 4.5
- (3) 5.4
- (4) 6.0

**12. Which equation(s) represent the graph below?**

I y = (x + 2)(x^{2} – 4x – 12)

II y = (x – 3)(x^{2} + x – 2)

III y = (x – 1)(x^{2} – 5x – 6)

- (1) I, only
- (2) II, only
- (3) I and II
- (4) II and III

**13. A laboratory technician studied the population growth of a colony of bacteria. He recorded the number of bacteria every other day, as shown in the partial table below.**

Which function would accurately model the technician’s data?

- (1) f(t) = 25
^{t} - (2) f(t) = 25
^{t1} - (3) f(t) = 25
_{t} - (4) f(t) = 25
_{(t + 1)}

**14. Which quadratic function has the largest maximum?**

(1) h(x) = (3 – x)(2 + x) (3) k(x) = – 5x^{2} – 12x + 4

**15. If f(x) = 3 ^{x} and g(x) = 2x + 5, at which value of x is f(x) < g(x)?**

- (1) -1
- (2) 2
- (3) -3
- (4) 4

**16. Beverly did a study this past spring using data she collected from a cafeteria. She recorded data weekly for ice cream sales and soda sales. Beverly found the line of best fit and the correlation coefficient, as shown in the diagram below.**

Given this information, which statement(s) can correctly be concluded?

I. Eating more ice cream causes a person to become thirsty.

II. Drinking more soda causes a person to become hungry.

III. There is a strong correlation between ice cream sales and soda sales.

- (1) I, only
- (2) III, only
- (3) I and III
- (4) II and III

**17. The function V(t) = 1350(1.017) ^{t} represents the value V(t), in dollars, of a comic book t years after its purchase. The yearly rate of appreciation of the comic book is**

- (1) 17%
- (2) 1.7%
- (3) 1.017%
- (4) 0.017%

- (1) x
^{2}+ 5x + 7 = 0 - (2) x
^{2}+ 5x + 3 = 0 - (3) x
^{2}– 5x + 7 = 0 - (4) x
^{2}– 5x + 3 = 0

**20. The table below shows the annual salaries for the 24 members of a professional sports team in terms of millions of dollars.**

The team signs an additional player to a contract worth 10 million dollars per year. Which statement about the median and mean is true?

- (1) Both will increase.
- (2) Only the median will increase.
- (3) Only the mean will increase.
- (4) Neither will change.

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