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 2018.

**Related Pages**

Regents Exam Past Papers

Algebra I Regents New York State Exam Questions June 2018 (pdf)

Solutions for Questions 1 - 37

- The solution to 4p + 2 < 2(p + 5) is
- If k(x) = 2
- The expression 3(x
^{2}+ 2x - 3) - 4(4x^{2}- 7x + 5) is equivalent to Which expression did he write? - The zeros of the function p(x) = x
^{2}- 2x - 24 are - The box plot below summarizes the data for the average monthly high temperatures in degrees Fahrenheit for Orlando, Florida
- Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
- Which ordered pair below is not a solution to f(x) = x
^{2}- 3x + 4? - Students were asked to name their favorite sport from a list of basketball, soccer, or tennis. The results are shown in the table below.
- The trinomial x
^{2}- 14x + 49 can be expressed as - A function is defined as {(0,1), (2,3), (5,8), (7,2)}. Isaac is asked to create one more ordered pair for the function. Which ordered pair can he add to the set to keep it a function?
- The quadratic equation x
^{2}- 6x = 12 is rewritten in the form (x + p)^{2}= q, where q is a constant. What is the value of p? - Which of the quadratic functions below has the smallest minimum computations. value?
- Which situation is not a linear function?
- The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
- If f(x) = x
^{2}+ 2, which interval describes the range of this function? - The amount Mike gets paid weekly can be represented by the expression 2.50a + 290, where a is the number of cell phone accessories he sells that week. What is the constant term in this expression and what does it represent?
- A cubic function is graphed on the set of axes below.
- Mrs. Allard asked her students to identify which of the polynomials below are in standard form and explain why.
- Which graph does not represent a function that is always increasing over the entire interval -2 < x < 2?
- At an ice cream shop, the profit, P(c), is modeled by the function computations. P(c) = 0.87c, where c represents the number of ice cream cones sold. An appropriate domain for this function is
- How many real-number solutions does 4x
^{2}+ 2x + 5 = 0 have? - Students were asked to write a formula for the length of a rectangle by using the formula for its perimeter, p = 2 + 2w. Three of their responses are shown below.
- If a
_{n}= n(a_{n-1}) and a_{1}= 1, what is the value of a_{5}? - Graph f(x)
- Caleb claims that the ordered pairs shown in the table below are from a nonlinear function.
- Solve for x to the nearest tenth: x
^{2}+ x - 5 = 0. - The graph of the function p(x) is represented below. On the same set of axes, sketch the function p(x + 2).
- When an apple is dropped from a tower 256 feet high, the function h(t) = -16t
^{2}+ 256 models the height of the apple, in feet, after t seconds. Determine, algebraically, the number of seconds it takes the apple to hit the ground. - Solve the equation below algebraically for the exact value of x.
- Is the product of
- On the set of axes below, graph the piecewise function:
- A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)
^{x}, where x represents the number of days since the population was first counted. Explain what 20 and 1.014 represent in the context of the problem. - There are two parking garages in Beacon Falls. Garage A charges $7.00 to park for the first 2 hours, and each additional hour costs $3.00. Garage B charges $3.25 per hour to park. When a person parks for at least 2 hours, write equations to model the cost of parking for a total of x hours in Garage A and Garage B. Determine algebraically the number of hours when the cost of parking at both garages will be the same.
- On the set of axes below, graph the following system of inequalities:
- The percentage of students scoring 85 or better on a mathematics final exam and an English final
exam during a recent school year for seven schools is shown in the table below.

Write the linear regression equation for these data, rounding all values to the nearest hundredth.

State the correlation coefficient of the linear regression equation, to the nearest hundredth.

Explain the meaning of this value in the context of these data. - Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total
number of coins inside as well as the total value of these coins. The panel shows 90 coins with a
value of $17.55 inside of the bank.

If Dylan only collects dimes and quarters, write a system of equations in two variables or an equation in one variable that could be used to model this situation.

Using your equation or system of equations, algebraically determine the number of quarters Dylan has in his bank.

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