Algebra I Regents Exam - June 2023 (videos, solutions, questions) (2024)

Algebra I Regents New York State Exam - June 2023

Algebra I Regents New York State Exam Questions June 2023 (pdf)

Solutions for Questions 1 - 24

Solutions for Questions 25 - 37

The expression 9m² - 100 is equivalent to
Which expression represents an irrational number?
Which linear equation represents a line that passes through the point (-3,-8)?
The expression (5x² - x + 4) - 3(x² - x - 2) is equivalent to
The 24th term of the sequence 25, 211, 217, 223, … is
When completing the square for x² - 18x + 77 = 0, which equation is a correct step in this process?
Which function will have the greatest value when x > 1?
Mike uses the equation b = 1300(2.65)^x to determine the growth of bacteria in a laboratory setting. The exponent represents
A company ships an average of 30,000 items each week. The approximate number of items shipped each minute is calculatedusing the conversion
A function is graphed below.
If g(x) = -x² - x + 5, then g(24) is equal to
A movie theater’s popcorn box is a rectangular prism with a base thatmeasures 6 inches by 4 inches and has a height of 8 inches. To createa larger box, both the length and the width will be increased byx inches. The height will remain the same. Which function representsthe volume, V(x), of the larger box?
The expression 300(4)^{x + 3} is equivalent to
Ashley only has 7 quarters and some dimes in her purse. She needsat least $3.00 to pay for lunch. Which inequality could be used todetermine the number of dimes, d, she needs in her purse to be ableto pay for lunch?
The formula for the area of a trapezoid is A = 1/2(b1 + b2)h.The height, h, of the trapezoid may be expressed as
The function f(x) = |x| is multiplied by k to create the new functiong(x) = k|x|. Which statement is true about the graphs of f(x) and g(x) if k = 1/2?
Some adults were surveyed to find out if they would prefer to buy asports utility vehicle (SUV) or a sports car. The results of the surveyare summarized in the table below
The solution to 2x² = 72 is
Three quadratic functions are given below
The domain of the function f(x) = x² 1 x 2 12 is
A father makes a deal with his son regarding his weekly allowance.The first year, he agrees to pay his son a weekly allowance of $10.Every subsequent year, the allowance is recalculated by doublingthe previous year’s weekly allowance and then subtracting 8. Whichrecursive formula could be used to calculate the son’s weekly allowancein future years?
What is the solution to the inequality below?
Which statement is correct about the polynomial 3x² + 5x - 2?
A store manager is trying to determine if they should continue to sella particular brand of nails. To model their profit, they use the functionp(n), where n is the number of boxes of these nails sold in a day. Areasonable domain for this function would be
Solve the equation algebraically for x:
The function f(x) is graphed on the set of axes below.
Breanna creates the pattern of blocks below in her art class.
The data set 20, 36, 52, 56, 24, 16, 40, 4, 28 represents the number of books purchased bynine book club members in a year.
Given: A = x + 5, B = x² - 18. Express A² + B in standard form.
The two relations shown below are not functions.
Factor 2x² + 16x - 18 completely
Solve 3d² - 8d + 3 = 0 algebraically for all values of d, rounding to the nearest tenth.
Graph f(x) = |x| + 1 and g(x) = -x² + 6x + 1 on the set of axes below.
Jean recorded temperatures over a 24-hour period one day in August in Syracuse, NY. Her resultsare shown in the table below.
Solve the following system of inequalities graphically on the set of axes below.
Suzanna collected information about a group of ponies and horses. She made a table showingthe height, measured in hands (hh), and the weight, measured in pounds (lbs), of each pony andhorse.
Dana went shopping for plants to put in her garden. She bought three roses and two daisiesfor $31.88. Later that day, she went back and bought two roses and one daisy for $18.92.If r represents the cost of one rose and d represents the cost of one daisy, write a system ofequations that models this situation.Use your system of equations to algebraically determine both the cost of one rose and the cost ofone daisy.
If Dana had waited until the plants were on sale, she would have paid $4.50 for each rose and$6.50 for each daisy. Determine the total amount of money she would have saved by buying all ofher flowers during the sale.

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