Algebra 2 Summer Packet

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1 CCTS Algebra 2 Summer Packet Important Instructions for Students We understand that students come to Algebra II with different strengths and weaknesses. For this reason, please read over the following instructions carefully to help you complete the packet with the most success possible! Students should try to answer all the questions if possible; you must show all work. Students must answer all questions to receive full credit. Packets are due Friday, September 8, and will count as an assessment grade. You may write pass on 10 questions without penalty. Before doing that, please try using the following resources to assist you. If after reading the examples, you are still unable to complete a problem there are online options to assist you. Khan Academy search Khan Academy for the topic heading (for example: Distributive Property or Rules of Exponents) of the section on which you are working. Most of the time, if you google search the topic, the Khan Academy video will appear in the results. IXL search the topic heading in IXL and do practice problems. If you get it incorrect, IXL provides an explanation of how to solve the problem and will give you more practice. You will find the topics in IXL in A1 (Algebra 1) or Eighth Grade (Pre Algebra) CCTS Algebra 2 Summer Packet 2016 Page 1 of 30

2 Below are dates and locations when teachers will be available for you to come and get help on your summer packet. Campus Day/Date Time Gloucester Twp. Wednesday, June 28 th 5:30pm 7:30pm Pennsauken Tuesday, July 11 th 2:00pm 6:00pm Gloucester Twp. Thursday, July 13 th 2:00pm 6:00pm 10:00am 1:00pm Pennsauken Gloucester Twp. Tuesday, August 1 st Thursday, August 3 rd or 5:00pm 7:00pm 10:00am 1:00pm or 5:00pm 7:00pm Please remember integrity is a core value at CCTS. You are only hurting yourself by attempting to copy someone else s work. This packet is to help you be ready for Algebra 2, and to help your teachers know what you can do. **Packets Due Friday, September 8!** CCTS Algebra 2 Summer Packet 2016 Page 2 of 30

3 Real Numbers and Number Operations Write the numbers in increasing order. 1. 1, 1, , 8, , 2, , 15, 5.7 CCTS Algebra 2 Summer Packet 2016 Page 3 of 30

4 Algebraic Expressions Evaluate the expression without using a calculator. 5. ( 1 + 3) ( 2 + 4) ( 3) CCTS Algebra 2 Summer Packet 2016 Page 4 of 30

5 Evaluate the expression. 9. x 2 (4 x) when x = x (x + 5) when x = x 3y + 2 when x = 4 and y = (m n) 2 when m=4 and n=1 Simplify the expression x (9x + 5) 14. 2(n 2 + n) 5(n 2 4n) 15. 6x 2 + 4x x x 16. 7x 2y + 3 9y x CCTS Algebra 2 Summer Packet 2016 Page 5 of 30

6 Solving Linear Equations CCTS Algebra 2 Summer Packet 2016 Page 6 of 30

7 Solve the equation = y a = 4a (x 3) + 12 = 2(x 2) 20. 6n = 2 (5n 2) x = 2 x (x + 3) ( 9x 4) = x (x 12) = 9(1 + 7x) 24. 3(1 + 6r) = 14 r 25. 4(k 2) + 3(k + 1) = x 9 = 2(x 5) CCTS Algebra 2 Summer Packet 2016 Page 7 of 30

8 Solving Linear Inequalities Solve each inequality. Graph the solution x + 4(x 2) > (2x 4) 5 (4x + 3) CCTS Algebra 2 Summer Packet 2016 Page 8 of 30

9 Solve each inequality. Graph the solution. 29. x 1 4( 2 x) (x 7) > 4 + 5x CCTS Algebra 2 Summer Packet 2016 Page 9 of 30

10 Relations and Functions Determine whether each relation is a function. Explain your answer. Find the domain and range of each relation. 31. {(1, 2), (1, 3), (1, 4), (1, 5), (1, 6)} 32. {(0, 1), (1, 2), ( 1, 1), ( 2, 5), (2, 9)} 33. {(A, B), (C, D), (E, F ), (G, H )} 34. {(I, M ), (N, P ), (I, T ), (I, P )} CCTS Algebra 2 Summer Packet 2016 Page 10 of

11 Evaluate each function for the given value of x, and write the input and output as an ordered pair. 35. f (x) = 3x 7 for x = g(x) = 9x 5 for x = h(x) = 12x for x = t(x) = 8x 5 for x = 7 CCTS Algebra 2 Summer Packet 2016 Page 10 of 30

12 Linear Functions and Slope Intercept Form Write an equation for each line. 39. m = 4; contains (3, 2) 40. m = 2; contains (4, 7) 41. m = 0; contains (3, 0) 42. m = 3; contains ( 2, 4) CCTS Algebra 2 Summer Packet 2016 Page 11 of 30

13 Write an equation of each line in slope intercept form. 45. through ( 2, 2) and parallel to y = 5x through ( 4, 1) and perpendicular to y = 3x + 7 CCTS Algebra 2 Summer Packet 2016 Page 12 of 30

14 Graphing Linear Equations Graph the equation. 47. y = 2 x x y = 4 CCTS Algebra 2 Summer Packet 2016 Page 13 of 30

15 Graph the equation. 49. x + 4y = x y = 4 CCTS Algebra 2 Summer Packet 2016 Page 14 of 30

16 51. x = y = 6 CCTS Algebra 2 Summer Packet 2016 Page 15 of 30

17 Graphing Linear Inequalities CCTS Algebra 2 Summer Packet 2016 Page 16 of 30

18 Graph each inequality. 53. y > 2x 54. x + y < x 2 5x + y 56. y 5 CCTS Algebra 2 Summer Packet 2016 Page 17 of 30

19 Solving Linear Systems Solve each system by substitution CCTS Algebra 2 Summer Packet 2016 Page 18 of 30

20 CCTS Algebra 2 Summer Packet 2016 Page 19 of 30

21 Solve each system by substitution CCTS Algebra 2 Summer Packet 2016 Page 20 of 30

22 Solving Systems of Linear Inequalities Solve each system of inequalities by graphing CCTS Algebra 2 Summer Packet 2016 Page 21 of 30

23 Properties of Exponents CCTS Algebra 2 Summer Packet 2016 Page 22 of 30

24 CCTS Algebra 2 Summer Packet 2016 Page 23 of 30

25 Adding, Subtracting and Multiplying Polynomials Find the sum or difference. 77. (5x 2 + 2x + 1) + (4x 2 + 3x 8) 78. (5x 2 6x 1) (4x 2 2x + 1) 79. (4x 2 + x + 6) + (7x 10) 80. (x 2 2x + 7) ( 5x 2 3) CCTS Algebra 2 Summer Packet 2016 Page 24 of 30

26 Find the product x(x 2 + x 2) 82. 2x(1 x x 2 ) 83. (x 2)(x 2 + 2x + 4) 84. (2x + 1)(x 2 x 3) 85. (x 3) (x 1) 3 CCTS Algebra 2 Summer Packet 2016 Page 25 of 30

27 Factoring Quadratic Expressions Factor each expression. 87. x 2 + 6x x 2 4x x 2 6x x 2 11x x x x 2 19x 6 CCTS Algebra 2 Summer Packet 2016 Page 26 of 30

28 93. x 2 x x 2 + 9x x x x 2 28x + 49 Factor each expression. 97. x 2 12x x x CCTS Algebra 2 Summer Packet 2016 Page 27 of 30

29 99. 9x 2 12x x x 2 42x x 2 1 CCTS Algebra 2 Summer Packet 2016 Page 28 of 30

30 Simplifying Radicals CCTS Algebra 2 Summer Packet 2016 Page 29 of 30

31 Simplify the expression CCTS Algebra 2 Summer Packet 2016 Page 30 of 30

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