Pre-Calculus Summer Review Packet
Pre-Calculus Summer Review PacketTO: All 2018-2019 PreCalculus StudentsFROM: Pre-Calculus TeachersWe are pleased that you have chosen to continue your math sequence by enrolling in Pre-Calculus for nextyear. To help ensure your success in Pre-Calculus next year, we have created a summer review work packet.This packet contains material that you must have knowledge of on the 1st day of the course. The packet hasproblems from Algebra, Geometry, & Algebra 2.THIS PACKET IS TO BE COMPLETED IN THE FOLLOWING MANNER: Work must be clearly enumerated and in consecutive order on separate paper. Each problem, with work, counts toward the total grade. Each problem must have WORK! NO WORK NO CREDIT THE PACKET, WITH WORK, IS DUE AT THE END OF THE FIRST WEEK OF SCHOOL. There will be a non-reassessable formative on the summer packet the second week of school. THE PACKET HAS BEEN DIVIDED IN TO THE FOLLOWING CATEGORIES:FractionsQuadraticsRational ExpressionsSolving Linear EquationsDomain & RangeRight Triangle TrigonometryLinear SystemsOperations with ExponentsTrigonometric FunctionsHELPFUL HINTS TO COMPLETING THE PACKET OVER THE SUMMER: Do little of the math packet each day – you are not expected to complete it all in one day Pace yourself, plan to do a portion each week. Resources you may want to use: Use your Algebra, Geometry, & Algebra 2 notes. khanacademy.org purplemath.com mathforum.org wolframalpha.com Pre-Calculus Supplies Needed: Pencils/Erasers Binder/Notebook Paper Graphing Calculator ***** It is recommended that you have a graphing calculator every day in classand at home. If you don’t already have a TI-83 or TI-84,graphing calculators will be available to rent on afirstcome,firstservebasisfromthemathoffice. There are free apps for a graphing calculators!! Search: Wabbitemu, Desmos or graphing calculator.
Pre-Calculus Summer Review PacketThis packet is a review of information you learned in Algebra, Geometry, & Algebra 2. You need to know thisinformation to be successful in Pre-Calculus. Therefore, this packet is due at the END OF THE FIRSTWEEK OF PRE-CALCULUS. It is to be completed CORRECTLY, NEATLY, and on SEPARATE sheets ofpaper.Your Pre-Calculus teacher will assess your knowledge of these concepts the second week of school (nonreassessable).FRACTIONSPerform the given operation. Leave answers as a simplified fraction when necessary.1.733 (5 action-arithmetic62. 1 2 533. (2 6) 24.31(4 2)45.55 3 23SOLVING LINEAR EQUATIONSSolve each Linear Equation for the stated variable.6. Solve for x.5𝑥 3(𝑥 2) 4𝑥 17. Solve for m.𝑔 4𝑐𝑚 3𝑐𝑚8. Solve for x. 1(1 7𝑥) 6( 7 𝑥) 36LINEAR SYSTEMShttps://www.khanacademy.org/mat khanacademy.org/mat h/algebra/systems-of-linearequationsSolve the following Linear Systems.9. 3𝑥 4𝑦 122𝑥 3𝑦 910. 2𝑥 9𝑦 5 05𝑦 𝑥 262711. 𝑦 3 𝑥 36𝑦 4𝑥 1412. The school that Stephan goes to is selling tickets to a choral performance. On the first day ofticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of 38. Theschool took 52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Findthe price of a senior citizen ticket and the price of a child ticket.
13. For what value of b would the following system of equations have an infinite number ofsolutions?9𝑥 12𝑦 216𝑥 8𝑦 7𝑏QUADRATICShttps://www.khanacademy.org/mat eting-thesquareSolve by completing the square.14. 𝑥 2 10𝑥 25 015. 𝑥 2 15 8𝑥Solve the equation using the quadratic formula.https://www.khanacademy.org/mat uadraticformula/v/quadratic-formula-116. 2𝑥 2 14𝑥 40 3𝑥 2 16𝑥 3217. 𝑥 2 4 3𝑥Solve the equation by /polynomial-factorization18. 𝑥 2 8𝑥 1819. 𝑥 2 3𝑥 1020. 5𝑥 2 32𝑥 21 021. 𝑥 2 11𝑥 19 522. 27𝑥 2 18𝑥 023. 2𝑥 2 20𝑥 12 5𝑥 𝑥 2Solve by using your Graphing Calculator. Round answers to the nearest thousandths (3 decimal places).24. 𝑥 2 8𝑥 1825. 13𝑥 2 24𝑥 1 14https://www.youtube.com/watch?v JHUju Qkqbg
DOMAIN & RANGEDetermine the domain and range of the following relation or function.126. (1,2), ( 3, 8), ( 9, 6), (2 , 5)27. 𝑦 9𝑥 1528. 𝑦 𝑥 4 3𝑥 3 𝑥 2 5𝑥29. 𝑦 𝑥 1 330. 𝑦 6 𝑥 31. 𝑦 3𝑥 2 𝑥 gebrafunctions#domain-and-rangeOPERATIONS WITH EXPONENTSSimplify the following expressions; assume no variable is equal to zero.34. (2𝑥 4 ) 337.𝑥𝑦 92𝑦 2 7𝑦21𝑥 535.(𝑥37 3 )36.38.535𝑥 3 𝑦 -exponents-and-radicals#alg1exp-prop-review30𝑥 4 𝑦 2(𝑥 𝑦)(𝑥 412𝑦)RATIONAL EXPRESSIONSFactor and/or Reduce the following Rational Expressions.39.𝑥 2 𝑥 6𝑥 2 440.𝑥 2 𝑥 125𝑥 al-expressions-equationsand-functions
Complete each rational operation.41.3𝑥 5 𝑥542.3𝑥 2 7𝑥 6(9𝑥 2 415𝑥 2 4𝑥 4) (44. For which nonnegative value of x is the expression9 𝑥 25 𝑥25 𝑥 2)43.𝑥2 15𝑥𝑥 15𝑥2 10undefined?RIGHT TRIANGLE TRIGONOMETRYUsing right triangle trigonometry, determine the measure of the missing side or angle. Round answers tothe nearest thousandths (3 decimal 9. Find, to the nearest degree, the measure of the smaller acute angle of a right triangle whose sides are 7, 24,and 25.50. A man standing 24 feet from a flagpole observes the angle of elevation of its top to be 38o. Find the heightof the flagpole to the nearest tenth.
Pre-Calculus Summer Review Packet TO: All 2018-2019 PreCalculus Students FROM: Pre-Calculus Teachers We are pleased that you have chosen to continue your math sequence by enrolling in Pre-Calculus for next year. To help ensure your success in Pre-Calculus next year, we have created a summer review work packet.
Honors Calculus and AP Calculus AB Readiness Summer Review This package is intended to help you prepare you for Honors Calculus and/or AP Calculus AB course this next fall by reviewing prerequisite algebra and pre-calculus skills. You can use online resources to review the learned concepts as well as your class notes from previous years.
Pre-Calculus . The Pre-Calculus End-of-Course assessment is designed to measure student proficiency of the Common Core State Standards pertaining to Pre-Calculus. This course-level assessment is provided to all students who have completed Pre-Calculus or related courses. EOC Assessment Aligns to the Following Course Codes: 2053 - Pre-Calculus
SUMMER REVIEW PACKET For students in entering PRE-CALCULUS (All Levels) Name: _ 1. This packet is to be handed in to your Pre-Calculus teacher on the first day of the school year. 2. All work must be shown in the packet OR on separate paper attached to the packet. 3.
There are certain skills that you have learned in your previous math courses that you need mastery of moving into Pre Calculus. We have a summer assignment that is intended to help you brush up on these topics. There are two parts to your Pre Calculus Summer Assignment. Part 1: Memorization and Part 2: Pre Calculus Honors Summer Skills Packet.
AP Calculus BC Summer Packet Complete the following exercises throughout the summer. Do not wait until the week before school to start! The skills and concepts represented in this packet have been part of your Algebra 2 and Pre-Calculus courses. It is expected you know how to do every problem in this packet. We will spend
AP Calculus AB Summer Homework Name _ Dear Future Calculus Student, I hope you are excited for your upcoming year of AP Calculus! . concepts needed to be successful in calculus. Please submit this packet during your second calculus class period this fall. It will be graded. . final answers MUST BE BOXED or CIRCLED. 2 Part 1 - Functions .
AP Calculus BC Summer Packet 2016. Dear Calculus Student: To be successful in AP Calculus BC, you must be proficient at every skill in this packet. This is a review of Limits, Derivatives, Sequences, and Series. Upon returning to school in the
Pile designers therefore looked at calculation based on theoretical soil mechanics. 16 Geotechnical Design to EC7 13 January 2017 Layer 1 Layer 2 Layer 3 L 1 L 2 L 3 Q s1 Q s2 Q s3 Q b Ultimate pile resistance Q u Q s Q b Traditional Pile Design to BS 8004. 17 Geotechnical Design to EC7 13 January 2017 Traditional Pile Design to BS 8004 The usual approach is to divide the ground into .
