NYS Algebra 1 Regents

Classify the following expression as rational or irrational. Explain your reasoning. It is ​ (a)   because ​ (b)  

• Rational

• Irrational

• it can be written as an ending/repeating decimal

• it has radicals

Bryan said that the piecewise function graphed below has a domain of all real numbers. State two reasons why Bryan is incorrect.

The formula above is used to calculate the distance, z, covered by an object in a given period of time, t. Solve the formula for y, the final velocity, in terms of z, t, and x, the initial velocity.

Mathematical Equivalence

ON

Determine the common difference of the arithmetic sequence in which a₁ = 5 and a₅ = 17, then determine the 21^st term of this sequence.

Common difference = ​ (a)  

21^st term = ​ ​ (b)  

• 3

• 12

• 4

• 65

• 69

• 61

Factor 18x² - 2 completely.

Mathematical Equivalence

ON

The senior class at Hills High School is purchasing sports drinks and bottled water to sell at the school field day. At the local discount store, a case of sports drinks costs $15.79, and a case of bottled water costs $5.69. The senior class has $125 to spend on the drinks. If x represents the number of cases of sports drinks and y represents the number of cases of bottled water purchased, write an inequality that models this situation.

Mathematical Equivalence

ON

The senior class at Hills High School is purchasing sports drinks and bottled water to sell at the school field day. At the local discount store, a case of sports drinks costs $15.79, and a case of bottled water costs $5.69. The senior class has $125 to spend on the drinks. Let x represents the number of cases of sports drinks and y represents the number of cases of bottled water purchased. Nine cases of bottled water are purchased for this year's field day. Determine algebraically the maximum number of full cases of sports drinks that can be purchased.

Mathematical Equivalence

ON

State, to the nearest hundredth, the correlation coefficient of these linear data.

Mathematical Equivalence

ON

Graph the system of equations: 2x + y = 5 and x - y = 1.

Based on the graph, the café owner saw a continual

• increase in customers from 6:00 to 11:00

• increase in customers from 12:00 to 3:00

• decrease in customers from 1:00 to 4:00

• decrease in customers from 11:00 to 2:00