Summer Assignment Form

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1 Summer Assignment Form Teacher Lynn Capell, Chastity Hall Course Pre-AP Algebra 2 Brief Description In the following packet, you will find problems designed to ensure your of Assignment readiness to enter PreAP Algebra 2 this next year. Each of the nine topics covered are things you should have mastered in Geometry and Algebra 1 courses. It is our expectation that you will work the following problems on your own with no assistance from others. It is strongly recommended that you DO NOT use a calculator to complete the assignment, as this is designed to prepare you for the coursework in PreAP Algebra 2. Purpose of Assignment Review material/concepts/skills necessary for Pre-AP Algebra 2 Estimated Length of Time Assessment & Due Date You should not complete this packet in one day. You should review this before the first day of school. These concepts are important in this class. We will have a quiz over the material. This packet should be worked a little at a time. It should not take more than 2 days to complete. This is due the first week of school. Required Texts and/or Materials: List of Attachments: NA PAPA 2 Summer Review Packet PAPA2 Summer Packet Answer Sheet with grids How to Get Help Khan Academy is a great resource that you can use. Remember that you should not use a calculator. If you have questions about the assignment, you can also contact us by . Ms. Lynn Capell Ms. Chastity Hall lcapell@pasadenaisd.org chall@pasadenaisd.org

2 PreAP Algebra 2 Summer Review Packet In the following packet you will find problems designed to ensure your readiness to enter PreAP Algebra 2 this next year. Each of the nine topics covered are things you should have mastered in Geometry and Algebra 1 courses. It is our expectation that you will work the following problems on your own with no assistance from others. It is strongly recommended that you DO NOT use a calculator to complete the assignment as this is designed to prepare you for the coursework in PreAP Algebra 2. If, during the summer you misplace this packet, it will be available on the Dobie website. It is an expectation that your packet will be completed before the first day of school and will be turned in for a major grade. For maximum points, the following requirements must be met: ALL work is done on notebook paper. ALL work is neat and in order. Answers are on the included answer sheet or graph paper. Graphs are neatly worked and labeled. Thank you and we look forward to seeing you in the fall! PreAP Algebra2 Teachers Lynn Capell Chastity Hall

3 Name: Please show ALL work on notebook paper and place answers on the answer sheet. Please do not use a calculator to complete the packet. Any work done on the packet will not be included in your grade. Part 1 Order of Operations Evaluate each expression. Write your answer in simplest form. Show all work [7 (3 2 5)] 2. [15(10) 12(10)] (8 4) (12 3) 1 ( ) [( ) 5] Part 2 Fractions Evaluate each expression. Write your answer in simplest form Where applicable, leave answers as improper fractions. Show all work and reduce, reduce, reduce. NO DECIMAL ANSWERS ( ) ( ) Part 3 Exponents Simplify each expression. Write your answer in simplest form. Where applicable, leave answers as improper fractions. The simplified expression should have NO negative exponents. Show all work x (6xy 2 )( 8x + 9y) 15. (3x x 3 ) 2 6x 5 x 2 y 18x4 y (12xy) 0 (x 2 y 4 ) y 3 x 3 xy 6 2x 2 y 3y 5 x 2 3x4 8y 2 Part 4 Radicals Evaluate each expression. Rationalize the denominator, where necessary. Show all work. NO DECIMAL ANSWERS a 5 b ab2 c

4 Part 5 Simplifying Expressions Simplify each expression. Write your answer in simplest form. Show all work. 23. (2y 3 9y + 16) (5y 3 + 3y 3) 24. 7x + 8( 2x + 5) 25. 4y(2 y) + 3y (x + y) 4(3x 2y + 1) x2 +20x 10 5 Part 6 - Solving Equations Solve each of the following for x. Show all work. NO DECIMAL ANSWERS (x 1) = 2 + 4x 29. 8x 4 + 3(x + 7) = 6x 3(x 3) x 3(4x + 7) = 6x (2x + 21) 31. (x 3) 5(x + 7) = 10(x + 3) (7x + 5) 32. 6x 2 = = x x+6 = 4x 4 16 Solve each equation for the indicated variable. Show all work. 3x x + 24 = 7(x + 6) 36. ax + r = 7, for x 37. y = 3x + 3b, for b 38. y = mx + 6, for m 39. You can estimate the time, t, in hours that it takes to fly a distance, d, in miles by using the formula t = d a. Use the formula to estimate the time it will take to fly 1300 miles. b. Solve the formula for d. c. Use the rewritten formula from (b) to find how many miles you can fly in 4 hours. Part 7 Solving Inequalities Solve each of the following inequalities for x. Show all work. NO DECIMAL ANSWERS x + 7 x x + 5 x (x 3) + 8x 11 Solve each of the following compound inequalities for x. Show all work. NO DECIMAL ANSWERS x x < 3x 1 11

5 Part 8 Linear Graphs Given two points M and N on the coordinate plane, find the slope of MN AND state the slope of the line perpendicular to MN. Show all work. NO DECIMAL ANSWERS. 46. M(9,6), N(1,4) 47. M( 2,2), N(4, 4) 48. M( 9,16), N( 11,16) Find the x-intercept and y-intercept of the given line. Using the intercepts, graph the line. Show all work. NO DECIMAL ANSWERS. 49. y = x x + 2y = y = 9x y = 2x y 10 = 2(x 4) 54. 6x 5 = 2y + 3 Find the slope and y-intercept of the graph of the equation. Using slope-intercept form, graph the line. Show all work. NO DECIMAL ANSWERS. 55. y 2x = y = 2x x + 6y = 12 Part 9 Multiplying, Factoring, and Solving Polynomial Expressions and Equations Use the FOIL method to find each product. Show all work. 58. (3x 2)(x 1) 59. (2x 9)(3x 8) 60. (3x 5) 2 Find the greatest common factor and factor it out of the expression. Show all work x 3 20x x 62. 3x 5 y 2 21x 2 y x 5 10x 4 + 5x 2 Factor each expression completely. Show all work. 64. x x 2 + 2x x 2 2x x x x x 2 + x 6 Using the Zero Product Property, solve the following quadratic equations for x. Show all work. NO DECIMAL ANSWERS. 70. x 2 = x 2 = x 2 9x 36 = x 2 3x + 1 = x 2 + 7x + 12 = x 2 10x + 9 = 0 Using the Quadratic Formula, solve the following quadratic equations. Show all work. 76. x 2 2x + 9 = x 2 5x 4 = x 2 7x 3 = 0

6 Name Period PreAP Algebra 2 Summer Packet Answer Sheet on graph paper a b c

7 Make sure you label your x and y axis

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