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.

**Related Pages**

Regents Exam Past Papers

Algebra I Regents New York State Exam Questions June 2021 (pdf)

Algebra I Regents New York State Exam June 2021 Rating Guide (pdf)

- 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?
- The expression 3(x + 4) - (2x + 7) is equivalent to
- A function is defined as K(x) = 2x
^{2}- 5x + 3. The value of K(-3) is - Which relation is not a function?
- 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
- The solution to 3(x - 8) + 4x = 8x + 4 is
- 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?
- When written in standard form, the product of (3 + x) and (2x - 5) is
- If x = 2, y = 3√2, and w = 2√8, which expression results in a rational number?
- Which product is equivalent to 4x2 - 3x - 27?
- Given:
- Which sketch represents the polynomial function
- If the parent function of f(x) is p(x) = x
^{2}, then the graph of the function - Which expression is equivalent to (-4x
^{2})^{3}? - Which function has the smallest y-intercept?
- 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)?
- 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?
- Given: the sequence 4, 7, 10, 13,…
- Below are two representations of data.
- Which system has the same solution as the system below?
- Given the pattern below, which recursive formula represents the number of triangles in this sequence?
- Students were asked to write an expression which had a leading coefficient of 3 and a constant term of -4. Which response is correct?
- 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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