# Algebra I Common Core Regents Exam - August 2015, Question 21 to 37

High School Math based on the topics required for the Regents
Exam conducted by NYSED. The following are the worked solutions
for the Algebra 1 (Common Core) Regents High School Examination
August 2015.

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## Algebra I Common Core Regents New York State Exam - August 2015

Algebra 1 - August 2015 Regents - Q #21 - 24
21. Which statement about these functions is true?

22. For which value of P and W is P + W a rational number?

23. The solution of the equation (x + 3)

^{2} = 7 is

24. Which trinomial is equivalent to 3(x - 2)

^{2} - 2(x - 1)?

Algebra 1 - August 2015 Regents - Q #25 - 28
25. Each day Toni records the height of a plant for her science lab. Her data are shown in the table
below.

The plant continues to grow at a constant daily rate. Write an equation to represent h(n),
the height of the plant on the nth day.

26. On the set of axes below, graph the inequality 2x + y > 1.

27. Rachel and Marc were given the information shown below about the bacteria growing in a Petri
dish in their biology class.

Rachel wants to model this information with a linear function. Marc wants to use an exponential
function. Which model is the better choice? Explain why you chose this model.

28. A driver leaves home for a business trip and drives at a constant speed of 60 miles per hour for
2 hours. Her car gets a flat tire, and she spends 30 minutes changing the tire. She resumes driving
and drives at 30 miles per hour for the remaining one hour until she reaches her destination.
On the set of axes below, draw a graph that models the driver’s distance from home.

Algebra 1 - August 2015 Regents - Q #29 - 31
29. How many real solutions does the equation x

^{2} - 2x + 5 = 0 have? Justify your answer.

30. The number of carbon atoms in a fossil is given by the function y = 5100(0.95)

^{x}, where
x represents the number of years since being discovered.

What is the percent of change each year? Explain how you arrived at your answer.

31. A toy rocket is launched from the ground straight upward. The height of the rocket above the
ground, in feet, is given by the equation h(t) = -16t

^{2} + 64t, where t is the time in seconds.
Determine the domain for this function in the given context. Explain your reasoning.

Algebra 1 - August 2015 Regents - Q #32 - 34

Algebra 1 - August 2015 Regents - Q #35 - 37
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