Precalculus Prerequisite Packet Paint Branch High School Math Department. Concepts To Be Assessed on the Precalculus Course Pre-assessment.
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1 Updated /01 The problems in this packet are designed to help ou review topics from previous math courses that are important to our success in Precalculus. It is important that ou take time during summer break to review the math concepts ou have learned this school ear. In order to ensure that ou are appropriatel placed in, and prepared for, the net math course in the sequence of stud, ou will be required to take a course pre-assessment when ou return to school net ear. This assessment will be given within the first three das of school. It will be GRADED FOR ACCURACY and count towards our first quarter grade. It is YOUR responsibilit to prepare for the course pre-assessment! The specific math concepts that will be assessed are listed below. To prepare for the course pre-assessment, ou are encouraged to complete the summer math packet for the course ou are taking net ear. However, ou also have other options. You ma choose to review using online tetbook resources or those found in the public librar. You ma choose to watch video tutorials or even take online practice quizzes throughout the summer. How ou choose to prepare for the course pre-assessment is completel up to ou! Please note, this summer math packet will not be collected or graded. Instead, the course pre-assessment will be used to measure our knowledge of the required prerequisite skills Concepts To Be Assessed on the Precalculus Course Pre-assessment. Students should be able to: Simplif, add, subtract, multipl and factor polnomial epressions. Solve quadratic equations. Simplif and evaluate rational epressions and comple fractions. Graph and identif properties of linear, quadratic, cubic, radical and rational functions. Appl rules of function notation, function composition and inverse functions. Solve a sstem of linear equations in two variables. Add, subtract, and scalar multipl matrices. Use the Pthagorean Theorem and trig ratios to find missing sides or angles of a right triangle. Use summation notation to epress and determine the value of the sum of a sequence.
2 Updated /01 Name Date Pd Polnomial and operations on real numbers. Factor Completel. 1. t t Simplif the following epressions hk c 7. hk n t t Solve each quadratic equation for
3 Updated /01 Graph the functions using a table of values, smmetr, rational zero theorem, or other properties of polnomials to plot points. Verif the graph with the calculator. Describe the following characteristics of each function. a) Domain b) Range c) zeros d) -intercept e) end behavior f) Interval(s) increasing g) Interval(s) decreasing 1. f 1 1. f 15. f 5 a. b. c. d. e. f. g. a. b. c. d. e. f. g. a. b. c. d. e. f. g. Function Operations If f and g, determine 1. f f when? 18. f g 19. f g 0. Domain of f g 1. g f 0
4 Updated /01. f 1. Is the inverse of f a function? Rational Epressions and Rational Functions Graph the following functions using a table of values. Find and Label all intercepts and asmptotes. 1. j 5. k 9 Simplif. Write our answer as a single fraction
5 Updated /01 Solve each equation for Find the solution(s) of the given sstems of equations. Write answers in the form, Use matrices to find the solution(s) of the given sstems of equations. Write answers in the form,
6 Updated /01 Pthagorean Theorem and Trigonometric Ratios Solve for the missing side of the triangle using the Pthagorean Theorem. 5. a ft. a b 8 ft.. b 17 ft. c b c 19 ft. Solve for and using a triangle ratio 1 :1: or a triangle ratio 1 : : Given the right triangle, determine the trigonometric ratios. B 0. sin A 1. cos A. tan A 9 C 15 A Use trig ratios to solve for and in each right triangle. Round answer to the nearest thousandth
7 Updated /01 Discrete Mathematics Epand and evaluate the following series k k1 Epress the following series using summation notation Set Notation Epress the following sets using both interval notation and inequalit notation Interval: Interval: Interval: Inequalit: Inequalit: Inequalit:
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