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
January 2016.

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More Lessons for the Regents High School Exam, More Lessons for Algebra

### Algebra I Common Core Regents New York State Exam - January 2016

The following are questions from the past paper Regents High School Geometry January 2016 Exam (pdf). Scroll down the page for the step by step solutions.

Algebra 1 - January 2016 Regents - Questions and solutions 1 - 5

1. In the function computations. f(x) = (x - 2)^{2} + 4, the minimum value occurs
when x is

2 The graph below was created by an employee at a gas station.

Which statement can be justified by using the graph?

(1) If 10 gallons of gas was purchased, $35 was paid.

(2) For every gallon of gas purchased, $3.75 was paid.

(3) For every 2 gallons of gas purchased, $5.00 was paid.

(4) If zero gallons of gas were purchased, zero miles were driven.

3. For a recently released movie, the function y = 119.67(0.61)^{x} models
the revenue earned, y, in millions of dollars each week, x, for several
weeks after its release.

Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?

4. Given the following expressions:

Which expression(s) result in an irrational number?

5. Which inequality is represented by the graph below?
Algebra 1 - January 2016 Regents - Questions and solutions 6 - 10

6. Michael borrows money from his uncle, who is charging him simple computations. interest using the formula I = Prt. To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals

7. Which equation is equivalent to y - 34 = x(x - 12)?

8. The equation A = 1300(1.02)7 is being used to calculate the amount
of money in a savings account. What does 1.02 represent in this
equation?

9. The zeros of the function f(x) = 2x^{2} - 4x - 6 are

10 When (2x - 3)^{2} is subtracted from 5x^{2}, the result is

Algebra 1 - January 2016 Regents - Questions and solutions 11 - 15

11. Joe has a rectangular patio that measures 10 feet by 12 feet. He wants computations. to increase the area by 50% and plans to increase each dimension by equal lengths, x. Which equation could be used to determine x?

12. When factored completely, x^{3} - 13x^{2} - 30x is

13. The table below shows the cost of mailing a postcard in different years.

During which time interval did the cost increase at the greatest average rate?

14. When solving the equation x^{2} - 8x - 7 = 0 by completing the square,
which equation is a step in the process?

15. A construction company uses the function f(p), where p is the number of people working on a project, to model the amount of money it spends to complete a project. A reasonable domain for this function would be

(1) positive integers

(2) positive real numbers

(3) both positive and negative integers

(4) both positive and negative real numbers
Algebra 1 - January 2016 Regents - Questions and solutions 16 - 20

16. Which function is shown in the table below?

17. Given the functions h(x) = \(\frac{1}{2}\)x + 3 and j(x) = |x|, which value of x makes h(x) = j(x)?

18. Which recursively defined function represents the sequence 3, 7, 15, 31, …?

19. The range of the function defined as y = 5^{x} is

20. The graph of y = f(x) is shown below.

What is the graph of y = f(x + 1) - 2?

More Questions

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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More Lessons for the Regents High School Exam, More Lessons for Algebra

Algebra 1 - January 2016 Regents - Questions and solutions 1 - 5

1. In the function computations. f(x) = (x - 2)

2 The graph below was created by an employee at a gas station.

Which statement can be justified by using the graph?

(1) If 10 gallons of gas was purchased, $35 was paid.

(2) For every gallon of gas purchased, $3.75 was paid.

(3) For every 2 gallons of gas purchased, $5.00 was paid.

(4) If zero gallons of gas were purchased, zero miles were driven.

3. For a recently released movie, the function y = 119.67(0.61)

Based on the equation, how much more money, in millions of dollars, was earned in revenue for week 3 than for week 5?

4. Given the following expressions:

Which expression(s) result in an irrational number?

5. Which inequality is represented by the graph below?

6. Michael borrows money from his uncle, who is charging him simple computations. interest using the formula I = Prt. To figure out what the interest rate, r, is, Michael rearranges the formula to find r. His new formula is r equals

7. Which equation is equivalent to y - 34 = x(x - 12)?

8. The equation A = 1300(1.02)

9. The zeros of the function f(x) = 2x

10 When (2x - 3)

11. Joe has a rectangular patio that measures 10 feet by 12 feet. He wants computations. to increase the area by 50% and plans to increase each dimension by equal lengths, x. Which equation could be used to determine x?

12. When factored completely, x

13. The table below shows the cost of mailing a postcard in different years.

During which time interval did the cost increase at the greatest average rate?

14. When solving the equation x

15. A construction company uses the function f(p), where p is the number of people working on a project, to model the amount of money it spends to complete a project. A reasonable domain for this function would be

(1) positive integers

(2) positive real numbers

(3) both positive and negative integers

(4) both positive and negative real numbers

16. Which function is shown in the table below?

17. Given the functions h(x) = \(\frac{1}{2}\)x + 3 and j(x) = |x|, which value of x makes h(x) = j(x)?

18. Which recursively defined function represents the sequence 3, 7, 15, 31, …?

19. The range of the function defined as y = 5

20. The graph of y = f(x) is shown below.

What is the graph of y = f(x + 1) - 2?

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