# Algebra I Regents Exam - June 2021

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 June 2021.

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Regents Exam Past Papers

### Algebra I Regents New York State Exam - June 2021

1. A high school club is researching a tour package offered by the Island Kayak Company. The company charges \$35 per person and \$245 for the tour guide. Which function represents the total cost, C(x), of this kayak tour package for x club members?
2. The expression 3(x + 4) - (2x + 7) is equivalent to
3. A function is defined as K(x) = 2x2 - 5x + 3. The value of K(-3) is
4. Which relation is not a function?
5. The value of Tony’s investment was \$1140 on January 1st. On this date three years later, his investment was worth \$1824. The average rate of change for this investment was \$19 per
6. The solution to 3(x - 8) + 4x = 8x + 4 is
7. An ice cream shop sells ice cream cones, c, and milkshakes, m. Each ice cream cone costs \$1.50 and each milkshake costs \$2.00. Donna has \$19.00 to spend on ice cream cones and milkshakes. If she must buy 5 ice cream cones, which inequality could be used to determine the maximum number of milkshakes she can buy?
8. When written in standard form, the product of (3 + x) and (2x - 5) is
9. If x = 2, y = 3√2, and w = 2√8, which expression results in a rational number?
10. Which product is equivalent to 4x2 - 3x - 27?
11. Given:
12. Which sketch represents the polynomial function
13. If the parent function of f(x) is p(x) = x2, then the graph of the function
14. Which expression is equivalent to (-4x2)3?
15. Which function has the smallest y-intercept?
16. Which domain would be the most appropriate to use for a function that compares the number of emails sent (x) to the amount of data used for a cell phone plan (y)?
17. Eric deposits \$500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
18. Given: the sequence 4, 7, 10, 13,…
19. Below are two representations of data.
20. Which system has the same solution as the system below?
21. Given the pattern below, which recursive formula represents the number of triangles in this sequence?
22. Students were asked to write an expression which had a leading coefficient of 3 and a constant term of -4. Which response is correct?
23. Sarah travels on her bicycle at a speed of 22.7 miles per hour. What is Sarah’s approximate speed, in kilometers per minute? 24.Which ordered pair does not fall on the line formed by the other three?

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