JMAP REGENTS BY STATE STANDARD: TOPIC

1 JMAP REGENTS BY STATE STANDARD: TOPIC NY Algebra II REGENTS Exam Questions from Spring 2015 to January 2020 Sorted by STATE Standard: TOPIC TABLE OF CONTENTS TOPIC STANDARD SUBTOPIC QUESTION # RATE Rate of Change .. 1-12 QUADRATICS solving Quadratics .. 13-23 Using the Discriminant .. 24 Complex Conjugate Root Theorem .. 25 Graphing quadratic Functions .. 26-336 POWERS Modeling Exponential Functions .. 37-46 Modeling Exponential Functions .. 47-51 Modeling Exponential Functions.

2 52-56 Modeling Exponential Functions .. 57-60 Evaluating Logarithmic Expressions .. 61 Graphing Exponential Functions .. 62-67 Graphing Logarithmic Functions .. 68-75 Exponential Growth .. 76-80 Exponential Equations .. 81-84 Exponential Growth .. 85-89 Exponential Decay .. 90-93 POLYNOMIALS Factoring Polynomials .. 96-107 solving Polynomial Equations .. 108-112 Graphing Polynomial Functions .. 113-117 Graphing Polynomial Functions .. 118-124 Graphing Polynomial Functions .. 125-135 Remainder Theorem .. 136-149 Polynomial Identities.

3 150-160 RADICALS Operations with Radicals .. 161-164 solving Radicals .. 165-177 Radicals and Rational Exponents .. 178-181 Radicals and Rational Exponents .. 182-194 Operations with Complex Numbers .. 195-207 RATIONALS Undefined Rationals .. 208 Expressions with Negative Expressions .. 209 Rational Expressions .. 210-225 Addition and Subtraction of Rationals .. 226 Modeling Rationals .. 227-231 solving Rationals .. 232-244 SYSTEMS solving Linear Systems .. 245-252 quadratic -Linear Systems .. 253-261 quadratic -Linear Systems.

4 262 Other Systems .. 263-280 FUNCTIONS Operations with Functions .. 281-287 Families of Functions .. 288-290 Comparing Functions .. 291-296 Transformations with Functions .. 297 Even and Odd Functions .. 298-302 Inverse of Functions .. 303-312 SEQUENCES AND SERIES Sequences .. 313-321 Sequences .. 322-325 Sequences .. 326-335 Sigma Notation .. 336 Series .. 337-349 TRIGONOMETRY Unit Circle .. 350 Unit Circle .. 351-352 Reciprocal Trigonometric Relationships .. 353 Reference Angles .. 354 Determining Trigonometric Functions.

5 355-359 Determining Trigonometric Functions .. 360-364 Simplifying Trigonometric Identities .. 365 Modeling Trigonometric Functions .. 366-369 Graphing Trigonometric Functions .. 370-379 Graphing Trigonometric Functions .. 380-396 CONICS Equations of Conics .. 397 GRAPHS AND STATISTICS Analysis of Data .. 398-405 Analysis of Data .. 406-418 Analysis of Data .. 419-422 Analysis of Data .. 423-432 Analysis of Data .. 433-434 Regression .. 435-339 Normal Distributions .. 440-452 PROBABILITY Theoretical Probability.

6 453-454 Probability of Compound Events .. 455-457 Venn Diagrams .. 458 Conditional Probability .. 459-465 Conditional Probability .. 466-472 Conditional Probability .. 473-475 Algebra II REGENTS Exam Questions by STATE Standard: II REGENTS Exam Questions by STATE Standard: : RATE OF CHANGE 1 Joelle has a credit card that has a annual interest rate compounded monthly. She owes a total balance of B dollars after m months. Assuming she makes no payments on her account, the table below illustrates the balance she owes after m which interval of time is her average rate of change for the balance on her credit card account the greatest?

7 1month 10 to month 603month 36 to month 722month 19 to month 694month 60 to month 73 2 The distance needed to stop a car after applying the brakes varies directly with the square of the car s speed. The table below shows stopping distances for various (mph)10203040506070 Distance (ft) 100 225 the average rate of change in braking distance, in ft/mph, between one car traveling at 50 mph and one traveling at 70 mph. Explain what this rate of change means as it relates to braking II REGENTS Exam Questions by STATE Standard: 3 A cardboard box manufacturing company is building boxes with length represented by x+1, width by 5 x, and height by x 1.

8 The volume of the box is modeled by the function which interval is the volume of the box changing at the fastest average rate?1[1,2]2[1, ]3[1,5]4[0, ]4 Irma initially ran one mile in over ten minutes. She then began a training program to reduce her one-mile time. She recorded her one-mile time once a week for twelve consecutive weeks, as modeled in the graph below. Which statement regarding Irma s one-mile training program is correct?1 Her one-mile speed increased as the number of weeks one-mile speed decreased as the number of weeks the trend continues, she will run under a six-minute mile by week reduced her one-mile time the most between weeks ten and The function f(x)=2 0.

9 2 5x s in 2x represents a damped sound wave function. What is the average rate of change for this function on the interval [ 7, 7], to the nearest hundredth?1 II REGENTS Exam Questions by STATE Standard: 6 The value of a new car depreciates over time. Greg purchased a new car in June 2011. The value, V, of his car after t years can be modeled by the equation log0 .8V17000 =t. What is the average decreasing rate of change per year of the value of the car from June 2012 to June 2014, to the nearest ten dollars per year?11960221803245042770 7 The function N(t)=100e models the number of grams in a sample of cesium-137 that remain after t years.

10 On which interval is the sample's average rate of decay the fastest?1[1,10]2[10,20]3[15,25]4[1,30] 8 The function N(x)=90( )x+69 can be used to predict the temperature of a cup of hot chocolate in degrees Fahrenheit after x minutes. What is the approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6]?1 The equation t= relates time, t, in years, to the amount of money, A, earned by a $5000 investment. Which statement accurately describes the relationship between the average rates of change of t on the intervals [6000, 8000] and [9000, 12,000]?