Honors Algebra 2 Summer Packet 2019-2020 - High School

South Brunswick SchoolsSummer Packet ForRising Honors Algebra 2studentsDirections: All students entering Honors Algebra 2 are expected to be proficient in all theirpreviously-learned algebra and geometry skills. The following exercises are intended to providea review of the Algebra 1 skills needed to be successful in Algebra 2 Honors. Show all work –even for multiple choice problems!If you need assistance with any topics, please refer to the following com/books/algebra 1/index.cfm?state NJhttp://mathforum.org/dr.math/In addition, summer math help will be provided by honor society students during thesummer. Please see the summer assignment description for dates and times.Answers to the exercises are provided on the last page – however, you must show all workto receive full credit.We highly recommend that students use a graphing calculator for success in mathematics.While our math classrooms are equipped with graphing calculators for students to use duringclass, students are encouraged to purchase their own graphing calculator for use at home.If you choose to purchase one, we recommend the TI-83 or TI-84 for Advanced Algebra 2 andthe TI-89 for Honors Algebra 2. Because these calculators are costly, students shouldpermanently mark the calculator with their name and keep them in a safe place if they bringthem to school. These calculators can be used for all four years of high school mathematics aswell as for other standardized tests such as the SAT so they are a worthwhile investment.*** Note: THIS PACKET SHOULD BE COMPLETED FOR TURN-IN ON THE FIRST DAYOF CLASS. YOU WILL TAKE A SKILLS QUIZ, BASED ON THIS PACKET, ON YOUR 3rdDAY OF CLASS

15 6 2?8 ( 4 2 7)1b)241) What is the value ofa) 214c)38d)3121e)342) Halie’s bedroom is a square measuring 10 feet along the base of each wall and 10 feethigh. Which expression is used to calculate the square footage needed to wallpaper herroom?a) 104b) 103c) 4(102)d) 42 10e) (4*10)23) The volume of a cylinder is given by Vr 2h , where r is the radius, h is the height, andis approximately 3.14 . What is the volume of the cylinder in terms of x ?4) Evaluate (5 3 )(a)b)( x 2 y) 32 xy 29 x28yb) 282.6x2d) 282.6x4e) 887.4x4c) 92.4x41)(5 4 ) .55a) 105) Simplifya) 92.4x2253x 4 y 22 xyb)3 10x y4c)125d)110e)125c)2xy9d)2 2x y9e)29xy2.6) You want to fence in a pool and deck area. Find the expression which correctlydetermines the amount of fencing required to complete the job.

a) 5x2 3xb) 10x2 6xc) 10x2 3x 10d) 5x2 6 x 10e) 10x2 8x 207) The area of a rectangle is given by 12x2 5x 2 . One side has length 4x 1 . Find thelength of the other side.8) The length of a box is 5 inches less than twice the width. The height is 4 inches morethan three times the width. The box has a volume of 520 cubic inches. Which of thefollowing equations can be used to find the height of the box?a) w(2l-5)(3h 4) 520b) w(2w-5)(3w 4) 520c) w(2w 5)(3w-4) 520d) w(2w-5)(3hw-4) 520e) w(5-2w)(3h 4) 5209) Factor completely, if possible, the following expressions:a. m2 7m 30b. 10 y 2 19 y 6c.20k 2 125d.21w4 35w3 14w210) Which one of the following is the simplified form ofa) 2 3b)2 153c) 630183 5?d) 6 5e) 2 5

11) Simplify the expressiona) 12 2500b) 5 812) The area of a rectangle is 5of the other side?a) 72b) 7 7 318080 .c) 20 5d) 8 53 . If the length of one side is 2c) 13 3 3e) 203 , what is the lengthd) 7 3 3e) 7 3 313) Find the area of the triangle. Give the answer as a simplified radical.14) You are at an altitude of 200 feet in a hot-air balloon. You turn on the burner and rise ata rate of 25 feet per minute for 6 minutes.a)Write an equation for your altitude as a function of time (define allvariables).Inputb) Make an input-output table for the function.15) Which equation would best fit the given graph?Output

a) y34x92b) yc) y34x62d) ye) y12x 23434x92x 3i.16) Use the graph to determine the zeros of the equation of the graph.a) 3 andd)12b) 1 and 43c)12and 3e) 4 and 3and 3i.17) Adding and Subtracting Polynomials – Simplify each expression.a) (5x2 2x – 1) (3x2 – 8x – 9)b) (2x2 – 7x – 5) – (3x2 11x – 4)c) 2(x 3) 5(2x – 1)d) 3(5x – 1) – 7(x – 4)18) Lake Braddock High School Band is selling sub sandwiches for a fundraiser. It costs 1.25 to make each sandwich. They sell them for 2.50 each.a)Write a function that determines the profit from the sale (identify allvariables).b)The band must pay a 75 fee to use the cafeteria to assemble the sandwiches.Write a function that includes this cost.c)The band wants a 1000 profit. How many sandwiches must they sell?d)If they sell 820 sandwiches, what was the profit earned?

19) Solve the equation 10 2 x 3(5 x)a)20)a) y3b) 312(4 x 8) .c)d)1313e) 13Rewrite the equation 3 y 2( x 1) y 3( x 6) so that y is a function of x.b) y 12 x 10c) x 52 y 4d) y 52 x 10e) x 54 y 42x 1021) The relationship between the sale price S, the list price L, and the discount rate r is givenby S L rL .a)Solve for r in the above formula.b)22)Solve for L in the above formula.Describe the solution to the inequalitya)b)c)d)e)All real numbersAll real numbersAll real numbersAll real numbersAll real numbers12x 4 6.greater than or equal to -20.greater than or equal to 20.less than or equal to -20.less than or equal to -5.greater than or equal to -5.23)Solve the equation or inequality. When appropriate, round answers to the nearestthousandth.a) 34 (24 8b) 2(5b 1)b) 4.21x 5.39 12.07(2.01 4.72x )

24)Your cell phone company charges 29.95 per month and gives you 30 free minutesper month. Additional minutes cost .32 per minute. Your last bill came to 46.82. Let xrepresent the number of minutes you talked last month.a) Write an equation that models this situation.b)Approximately how many minutes did you use the phone? Round to the nearestthousandth.c)How many minutes did you have to pay extra money for?25)a) yWhat is the equation of the horizontal line that passes through point (2, -8)?b) x 2c) yd) xe) y 082826)Choose the inequality whose solution is shown in the graph.a) y3x 2c) y 3x 2e) y27)a) 028)3x 2d) y3x 23x 2What is the x-intercept of the lineb) 12b) yc)12x35y20 ?d) 101003What is the equation, in slope-intercept form, of the line shown?.a)2x 5 y 10c) ye) y2525x 2x 2b) y25x 2d) 5x 2 y 10e) 40

29)a)52930)a) 4Find the value of y so that the line passing through (2, 6) and (1, y) has a slope of 5.b) 9c) 275d) 1e) 1What is the slope of the graph of 4x 3 y 15 ?b) 4c) 43d)e) 54331) What is an equation of the line that passes through points (2, 3) and (-1, 4)?1111113 x 113a) y 3 x 113b) yc) yd) ye) y3 x33 x332)a) y33)34)What is an equation of the line that is parallel to y12x 4b) y12c) yx 212x 2d) y121213x 3x 3 and has an x-intercept of -4?x 2e) y12x 2A line passes through the points (-1, 4) and (-7, -5).a)Write an equation of the line in standard form.b)Write an equation of the line in slope-intercept form.c)Write an equation of the line in point-slope form.What is the standard form of an equation of the vertical line in the graph?a) yb) x32c) ye) yd) x 123

35)Which point represents the solution of the system of equations?a) (0, -3)b) (0, -2)c) (2/3, -5/3)d) (1, 3)y2x 3yx 2e) (1/3, -7/3)36)If 3x 2 y 8 anda) 6b) 84x 3 yc) 75 , then x y ?d) 5e) 337)Two hunters start from different points in the woods and hike towards theircampsite. The first hunter travels a trail along the line 2 y x 24 . The second hunter’strail follows the line 3 y2x 18 . They meet at the campsite. What are the coordinatesof the site?a) (-108/7, 30/7)b) (-30/7, 108,/7)c) (-13, 2)d) (-14, 5)e) (-120/7, 48/7)38)You are selling tickets for a high school play. Student tickets cost 4 and generaladmission tickets cost 6. You sell 525 tickets and collect 2876.a) Write a system of equations that models this situation (identify all variables).b)39)How many of each type of ticket did you sell?Which of the following quadratic equations is represented by the graph?2 x 2 3x 4a) yb) y 12 x2 3x 4c) y2 x 2 3x 4e) y12x 2 3x 4d) y12x 2 3x 4

40)a)27Which of the following is a solution of 7 x2 5x 8 10 ?b) 1c) 72d) 72e) 7341) Multiplying Polynomials – Simplify.a) 2x(5x2 – 3x 7)b) (3x – 1)(5x 7)c) (2x – 5)(2x 5)d) (7x – 2)(x2 3x - 5)

Algebra 2 Advanced/HonorsSummer Packet Answers1) b2) c3) d4) c5) e6) b7) 3x 28) b9) a) (m - 10)(m 3)b) (2y 3)(5y 2)c) 5(2k-5)(2k 5)d) 7w2(3w – 1)(w 2)10) a11) d12) e113)14 3 6 7 11 21 33214) a) y 25x 200 where y representsaltitude (in feet) and x represents time 5015) a16) d17)a) 8x 2 6x 10b)x 2 18x 1c) 12x 1d) 8x 2518) a) y 1.25xb) y 1.25x 75c) 860 sandwichesd) 95019) b20) d21) a) rb) LL SLS1 r22) a23) a) b 1b) 0.30824) a) y 29.95 0.32(x – 30)b) 82.719 minutesc) 52.719 minutes25) c26) b27) e28) c29) e30) c31) d32) e33) a) 3x 2y11311xb) y22c) y – 4 3/2(X 1) or Y 5 3/2(x 7)34) b35) e36) e37) a38) a) x represents the number of studenttickets, y represents the number of generaltickets4 x 6y 2876xy525b) 137 student tickets and 388 generaltickets39) d40) a41)a) 10x 3 6x 2 14xb) 15x 2 16x 7c) 4x 2 25d) 7 x 3 19x 2 41x 10

Summer Packet For Rising Honors Algebra 2 students Directions: All students entering Honors Algebra 2 are expected to be proficient in all their previously-learned algebra and geometry skills. The following exercises are intended to provide a review of the Algebra 1 skills nee