Algebra 2 PBA PARCC Packet

Transcription

1 Algebra PBA PARCC Packet NAME: This packet contains sample questions and refresher worksheets. This packet must be completed and returned to room 111 before the Algebra PARCC test on Wednesday March 4 at 7:55AM. If your last name begins with the letters A-H, your test is in the Tiger Den. If you last name begins with the letters J-S, your test will be in the PITT. Good Luck!! This is a 10 point HW assignment. You must show work to get credit. If you are doing work on the calculator, show the steps or the graph of what you are doing. A reference sheet is the last page of this booklet.

2 Algebra II PBA Practice Test Non Calculator Section

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4 Algebra II PBA Practice Test Calculator Section

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10 Algebra Q # 6 and 7 SHOW WORK!!! No Calculator Which of the following statements are true? Select ALL that apply. A. 9 3 B. 9 3i C, 9 3i 3i 81 D. 3i 9 E. 3i 9 F. Which expressions are equivalent to 4 3 8? Select ALL that apply. A B. 6 C, 16 D E

11 Algebra Q # 8 and 9 v1 SHOW WORK!!! Use Graphing Calculator Functions f and g are defined as follows: f ( x) x g( x) x 3 The graphs of f ( x) and g( x) intersect at point P. Determine the x and y coordinates of point P. Round your answer to the nearest tenth. A. (,0) B. (1.,1.7) C, (1.1,1.79) D. (1.,1.8) E. (0,0) During a 1-year period, a population of squirrels in Tenafly grew according to the model P P o (1.9) t, where P is the population, P o is the initial population and t is the time in years. Which equation can be used to model the approximate monthly growth rate? (Using 1 months in a year) 1 A. P P o (1.04) t 1 B. P P o (1.9) t C, D. 1 P P o (1.014) t 1 P P o (1.1075) t

12 Algebra Q # 1 SHOW WORK!!! No Calculator Given x 5 3, solve for x Q # 3 Given 16 y y 8, solve for y

13 Algebra Q # 3 SHOW WORK!!! No Calculator Which of the following have real solutions? [Hint: no i in answer] 14 A. ( i) 13 B. ( i) C, ( ) i D. ( i)( i) E. ( i) Q #4 Which equation has non-real solutions? [Hint: find the discriminant] a. x 7x 13 0 b. 3x 15x 11 0 c. 7x 1 0 d. 7x 1 0

14 Algebra SHOW WORK!!! Calculator Q #4: Which equations have non-real solutions? [Hint: find the discriminant] a. x 7x 1 0 b. x 5x 1 0 c. x x 6 0 d. 3x 1 0 Q #10: What are the solutions to the equation x 5x 1 0 [Hint: use the quadratic formula]

15 Algebra Q # 5 SHOW WORK!!! No Calculator 3 3 Which of the following is equivalent to x y z 8x y 16z 18 A. ( z ) z z 4 ( xy 4)( xy 4) 3 B. z x y ( 8)( 16) C, 3 ( z 8)( x y 16) 3 D. ( z 8)( xy 4)( xy 4) ( z ) z z 4 ( xy 4)( xy 4) E. Q # 19 SHOW WORK!!! Use Calculator Get all the solutions of 3 A. 1, 3, 6 B. 1, -3, 6 C, 1, -3, -6 D. -1, -3, -6 x 8x 9x 18.

16 Algebra Q # 0B SHOW WORK!!! Use Calculator: Graph on calculator and compare If f ( x) x 3x, describe the transformation from f( x ) to f( x) 7 A. 7 units up B. 7 units to left C, 7 units down D. 7 units to right Q # 0A SHOW WORK!!! Use Calculator: Graph on calculator and compare If f ( x) x 3x, describe the transformation from f( x ) to f( x 7) A. 7 units up B. 7 units to left C, 7 units down D. 7 units to right

17 Probability Review: The probability an event occurs equals (successes divided by total outcomes). The probability of two independent events occurring is the product of the two probabilities. Sample questions: 1. If you spin the spinner once, what is the chance that it will stop in region A? A B C A) 1/3 B) 1/6 C) 5% D) 50%. A fair die is rolled times. What is the probability the first roll is an even number and the second roll is a 3? A) 3/6 B) 1/6 C) 3/36 D) 4/36 3. If one card is selected at random from a standard deck, what is the probability it is a diamond? [Card facts: 5 in a deck, 13 in a suit (club, spade, heart, diamond), 6 red (heart, diamond), 6 black (spade, club), 4 of each kind (ace,, 3, etc.), face cards are jack, queen and king] A)13/39 B) 50% C)6/5 D) ¼ 4. A bag of M&M s contains 5 brown, 3 red and 7 orange candies. If two candies are selected at random, without replacement, what is the probability that orange candies are selected? A) /7 B) 49/5 C) 4/10 D) /15

18 Rational and Irrational numbers RATIONAL NUMBERS: Rational numbers are the ratio of two integers. Rational numbers can be integers, fractions, repeating decimals, decimal numbers that have an end value (i.e.; don t go on forever) and perfect squares, cubes, etc. 5 5 Examples: 5,,, 00, , , , Note: The line over a number indicates a repeating decimal Example of a rational number between -5 and -6 is -5.5 IRRATIONAL NUMBERS: Irrational numbers are numbers that are not rational. They are in between rational numbers. They include square roots that are not perfect squares, non-repeating decimals. Examples: ,,, 00, 7 3,, , , Example of a irrational number between 5 and Note that the period marks after the number indicate that is a non-repeating decimal.

19 STATISTICS: Mean Median Mode Review 1. For a set of data, the mean is the:. For a set of numbers arranged in order, the median is the 3. For a set of data, the mode is the : 4. Given test scores of 91, 85, 74, 69, 96, 88, 91. Find the: mean = median = mode = 5. Given test scores of 91, 85, 74, 69, 96, 88, 9, 96. Find the: mean = median = mode = 6. Kevin know his test score average was 9% but he could only remember 4 out of 5 of his scores. If the 4 scores were 85, 99, 98, and 8. What was his 5 th score? 7. Laurie averaged 93% on her first 3 tests. What does she need to average on her next test to raise her avaerage to a 94%? 8. The average of 5 numbers is 73. When a 6 th number is added the average is still 73. What number was added? What is the outlier in the following set of numbers: 3, 9, 57, 31, 17,, 30

20 Weight of car Miles per Gallons Make a scatter plot of this data. Does there appear to be a relationship between weight of a car and miles per gallon? Support your answer using the scatter plot. 3. One of the points is an outlier. Which one is it and why?

21 Trigonometry: Solving Right Triangles: SOHCAHTOA Hypotenuse sin A = 0pposite/ Hypotenuse Opposite cos A = Adjacent/Hypotenuse A tan A = Opposite/Adjacent Adjacent Find the measure of angle A using your calculator and nd sin, cos or tan key If you get an error message, put answer as undefined. 1. sin A = 3/5. cos A =.7 3. tan A = 1 4. sin A = ½ 5. cos A = ½ 6. cos A = 0 7. sin A = 1 8. tan A = sin A = cos A = Solve the following triangle (Find all angle measures and side lengths) A Angle A = Angle B = b =14 c = 8 Angle C = B Side a = C a Side b = Side c =

22 1. A building casts a shadow 85 feet long. If the angle of elevation to the sun is 37 degrees, how tall is the building?

23 Algebra : Sequences and Series 1. Given an infinite series:, 5, 8, 11, 14,.. Find the 93 rd term. Use from Reference Sheet: a a1 ( n 1) d n. Given an infinite series: ¼, ½, 1,, 4, Find the 5 th term. Use from Reference Sheet: an a r n For the series in, find the sum of the first 0 terms Use from Reference Sheet: S n a a r 1 r n 1 1 1