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 2022.

**Related Pages**

Regents Exam Past Papers

Algebra I Regents New York State Exam Questions June 2022 (pdf)

Algebra I Regents New York State Exam June 2022 Rating Guide (pdf)

Solutions for Questions 1 - 24

- Which correlation shows a causal relationship?
- Given f(x) = 3x - 5, which statement is true?
- At Benny’s Café, a mixed-greens salad costs $5.75. Additional toppings can be added for $0.75 each. Which function could be used to determine the cost, c(s), in dollars, of a salad with s additional toppings?
- Which expression is equivalent to x
^{2}= 5x - 6? - Peter has $100 to spend on drinks for his party. Bottles of lemonade cost $2 each, and juice boxes cost $0.50 each. If x is the number of bottles of lemonade and y is the number of juice boxes, which inequality models this situation?
- Which domain is most appropriate for a function that represents the number of items, f(x), placed into a laundry basket each day, x, for the month of January?
- What is the solution to 3/2 b + 5 < 17?
- Which table of values represents an exponential relationship?
- Which expression is not equivalent to (5
^{2x})^{3}? - Which relation is a function?
- The formula Ax + By = C represents the equation of a line in standard form. Which expression represents y in terms of A, B, C, and x?
- What are the zeros of f(x) = (2x - 4)(3x + 4)?
- Joe has dimes and nickels in his piggy bank totaling $1.45. The number of nickels he has is 5 more than twice the number of dimes, d. Which equation could be used to find the number of dimes he has?
- Donna and Andrew compared their math final exam scores from grade 8 through grade 12. Their scores are shown below.
- The first term in a sequence is 5 and the fifth term is 17. What is the common difference?
- A quadratic function and a linear function are graphed on the same set of axes. Which situation is not possible?
- The expression (m - 3)
^{2}is equivalent to - Mrs. Rossano asked her students to explain why (3,-4) is a solution to 2y + 3x = 1. Three student responses are given below.
- Four quadratic functions are shown below
- An example of a sixth-degree polynomial with a leading coefficient of seven and a constant term of four is
- In the equation A P(1 ± r)
^{t}, A is the total amount, P is the principal amount, r is the annual interest rate, and t is the time in years. Which statement correctly relates information regarding the annual interest rate for each given equation? - It takes Tim 4.5 hours to run 50 kilometers. Which expression will allow him to change this rate to minutes per mile?
- When the equation
- If a sequence is defined recursively
- Is the product of
- Describe the transformations performed on the graph of
- The total profit earned at a garage sale during the first five hours is modeled by the graph shown below
- Subtract
- A function is graphed on the set of axes below.
- Solve
- Factor
- Determine the exact values of x for x
^{2}- 8x - 5 = 0 by completing the square. - The graph below models the height of Sam’s kite over a period of time.
- On the set of axes below
- An insurance agent is looking at records to determine if there is a relationship between a driver’s age and percentage of accidents caused by speeding. The table below shows his data.
- Solve the system of inequalities graphically on the set of axes below.
- At an amusement park, the cost for an adult admission is a, and for a child the cost is c. For a group of six that included two children, the cost was $325.94. For a group of five that included three children, the cost was $256.95. All ticket prices include tax. Write a system of equations, in terms of a and c, that models this situation. Use your system of equations to determine the exact cost of each type of ticket algebraically.

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