Summer Work for students entering PreCalculus
|
|
- Constance Daniels
- 5 years ago
- Views:
Transcription
1 Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate paper and remember to show all of your own work. Work is to be done NEATLY on separate paper with the answers clearly written on the blanks provided. You will need graph paper for some problems. You will staple your work to the back of the packet. Do not do the whole packet right away or you will forget some of the concepts before the fall. Do not leave the packet until the end of the summer or you will have forgotten some of the concepts. You have learned how to do everything in this packet at some point during your Algebra and Geometry courses, there is nothing new. Use your notes to help you with the packet. If you do not remember how to do some of these problems, watch a video on khanacademy.org (Algebra, Geometry, or Trigonometry section) or a You Tube video to help you remember the curriculum. The summer math packet is due on the first day of school. You will have a test during the first week of school to make sure you have done the packet and are ready for your new math class. We are looking forward to seeing you in August. Have a great summer!! Find the measure of each angle in the problem. 1) Supplementary angles with measures 2p + and p + 2 degrees 1) 2) Complementary angles with measures x and x - 27 degrees 2) Simplify the expression. ) 112 ) ) 7 6 ) Rationalize the denominator. 8 ) 7 ) The lengths of the legs of a right triangle are given. Find the hypotenuse. 6) a = 10, b = 20 6) 1
2 The lengths of one leg, a, and the hypotenuse, c, of a right triangle are given. Find the length of the remaining leg. 7) a = 7, c = 2 7) Given the side lengths of a right triangle, find the indicated value. 8) opp =, adj = Find sin θ. 8) Solve the problem. 9) Find the length of a leg in a triangle if the hypotenuse is 16 ft. If your answer is not an integer, leave it in simplest radical form. 9) 10) Find the length of the long leg and the hypotenuse in a triangle if the short leg is 6 in. If your answer is not an integer, leave it in simplest radical form. 10) 11) Find the length of the short leg and the hypotenuse in a triangle if the long leg is 17 m. If your answer is not an integer, leave it in simplest radical form. 11) 12) Find the length of the hypotenuse in a triangle if the legs are 12 2 ft. If your answer is not an integer, leave it in simplest radical form. 12) Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators. 1) Find tan B when a = 9 and b = 7. 1) 1) Find cos A when a = 17 and c = 10. 1) 1) Find sin B when b = and c =. 1) Find the approximate value of the expression rounded to two decimal places. 16) sin 70 16) 17) cos 7 17) 18) tan 2 18) Use a calculator to find the value of the acute angle θ to the nearest degree. 19) tan θ = ) 20) cos θ = ) 21) sin θ = ) 2
3 Find the remaining sides and angles of the triangle ABC, with right angle at C. Round to the nearest tenth if necessary. 22) B = 19, c = 1 22) Solve the right triangle ABC where C is the right angle. Round side lengths to one decimal place and express angles to the nearest tenth of a degree. 2) b = 10, c = 0 2) Solve the problem. 2) From a distance of 9 feet from the base of a building, the angle of elevation to the top of the building is 6. Estimate the height of the building to the nearest foot. 2) Find the distance between the pair of points. 2) (2, 2) and (-6, -7) 2) Find the midpoint of the line segment whose end points are given. 26) (1, ) and (-7, 6) 26) Write the standard form of the equation of the circle with the given center and radius. 27) (-9, 8); 27) Write the algebraic expression without parentheses. 28) - (6z - 7w + y) 28) Simplify the exponential expression. 29) (-x y - )(2x -1 y) 29) Add or subtract terms whenever possible. 0) ) Rationalize the denominator. 2 1) - 7 1) Perform the indicated operations. Write the resulting polynomial in standard form. 2) (x 2 + x + 7) + (2x 2 + x - 7) - (x + 2) 2) Find the product. ) (xy - )(8xy + 7) ) ) (x - ) ) Factor out the greatest common factor. ) 21x - 6x + 1x 2 )
4 Factor using the formula for the sum or difference of two cubes. 6) 12x ) Factor by grouping. Assume any variable exponents represent whole numbers. 7) x + 8x - x 2-0 7) Factor the trinomial, or state that the trinomial is prime. 8) 7x 2-2x ) 9) x 2 + x - 2 9) Factor completely, or state that the polynomial is prime. 0) x - 8x 0) Factor the perfect square trinomial. 1) x 2-10x ) Factor the difference of two squares. 2) 16x - 1 2) Find all numbers that must be excluded from the domain of the rational expression. x - 7 ) x 2 + x - 28 ) Multiply or divide as indicated. ) x2 + 16x + 6 x x + 16 x 2 + x + 6 x x + 2 ) Add or subtract as indicated. ) x x - ) 6) x + x 2 + 6x x - 2 x 2 + 7x ) Simplify the complex rational expression. 7) 1 - x 1 + x 7)
5 Solve the linear equation. 8) -7x - 7-2(x + 1) = 2x - 7 8) 9) x + 9 = x - 2 9) Solve the equation by factoring. 0) 6x x + 1 = 0 0) Solve the absolute value equation or indicate that the equation has no solution. 1) 8 - x = 6 1) Solve the quadratic equation by the square root property. 2) (2x + 2) 2 = 16 2) Solve the quadratic equation by completing the square. ) x x = - ) Compute the discriminant. Then determine the number and type of solutions for the given equation. ) 8x 2 = -x - 2 ) Solve the quadratic equation using the quadratic formula. ) 2x 2 = -x - 1 ) Solve the radical equation, and check all proposed solutions. 6) x - = 6) Solve the inequality. 7) x - 1 7) Use the given conditions to write an equation for the line in slope-intercept form. 8) Passing through (2, ) and (, 2) 8) Graph the line whose equation is given. Use graph paper. 9) y = x - 2 9) Graph the equation in the rectangular coordinate system. Use graph paper. 60) y = 8 60) 61) x - 8 = )
6 Use the given conditions to write an equation for the line in the indicated form. 62) Passing through (2, -) and parallel to the line whose equation is y = -8x + ; slope-intercept form 62) Solve the problem. 6) The function P(x) = 0.9x - 60 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find P(600), the profit the vendor makes from selling 600 pretzels. 6) Evaluate the function at the given value of the independent variable and simplify. 6) f(x) = -2x + 1; f(-) 6) 6) f(x) = x 2 - ; f(x - ) 6) 66) f(x) = x + 20; f(-) 66) 67) f(x) = x2 + 6 ; f(-) 67) x + 6x Given functions f and g, perform the indicated operations. 68) f(x) = 9x - 6, g(x) = x - 8 Find f - g. 68) 69) f(x) = x + 9, g(x) = 9x - 6 Find fg. 69) For the given functions f and g, find the indicated composition. 70) f(x) = x 2-2x + 1, g(x) = x 2-2x - 1 (f g)() 71) f(x) = -x + 7, g(x) = 6x + (g f)(x) 70) 71) Use the vertex and intercepts to sketch the graph of the quadratic function. Use graph paper. 72) f(x) = -x 2-8x ) Find the coordinates of the vertex for the parabola defined by the given quadratic function. 7) f(x) = 9 - (x + 2) 2 7) 7) f(x) = -x 2 + x - 8 7) Find the axis of symmetry of the parabola defined by the given quadratic function. 7) f(x) = -2x 2 + x + 7) 6
7 Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 76) f(x) = x 2-2x - 76) Find the x-intercepts (if any) for the graph of the quadratic function. 77) f(x) = 2x x ) Add or subtract as indicated and write the result in standard form. 78) 9i + (-8 - i) 78) Find the product and write the result in standard form. 79) (-7-9i)( + i) 79) Divide and express the result in standard form. 80) - 9i - i 80) Solve the quadratic equation using the quadratic formula. Express the solution in standard form. 81) 6x 2 - x + 8 = 0 81) Find the domain of the given function. 82) f(x) = 9 - x 82) 8) f(x) = x x - 9 8) Find the range of the function. 8) f(x) = x 2 + 8) 8) f(x) = x - 1 8) Describe how to transform the graph of f into the graph of g. 86) f(x) = x and g(x) = -x 86) Describe how the graph of y=x 2 can be transformed to the graph of the given equation. 87) y = (x + 9) 2-87) Use the Leading Coefficient Test to determine the end behavior of the polynomial function. 88) f(x) = x - x 2 - x 88) Find the zeros of the polynomial function. 89) f(x) = x + 6x 2 - x ) 7
8 Divide using long division. 90) -6t - t - 9t 2 - t - 1 2t 2-2t + 90) Divide using synthetic division. 91) x + x - x + 91) Solve the system of equations by the substitution method. 92) -x + y = 6 x - 2y = 0 92) Solve the system by the elimination method. 9) 7x + 21y = 21 6x - 7y = -7 9) Graph the function by making a table of coordinates. Use graph paper. 1 x 9) f(x) = 9) Approximate the number using a calculator. Round your answer to three decimal places. 9) e ) Write the equation in its equivalent exponential form. 96) log 2 16 = x 96) Write the equation in its equivalent logarithmic form. 97) 6 = ) Evaluate the expression without using a calculator. 98) log 12 98) Solve the equation by expressing each side as a power of the same base and then equating exponents. 99) 16 x + 8 = 6 x ) Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 100) x = ) Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 101) log (x - 2) = 1 101) 8
9 Answer Key Testname: PRECALCULUS SUMMER MATH ) 7 and 107 2) 2 and 8 ) 7 ) 6 ) ) 10 7) 2 8) 7 9) 8 2 ft 10) long leg = 6 in hypotenuse = 12 in 11) short leg = 17 m hypotenuse = m 12) hypotenuse = 2 ft 1) 7 9 1) ) 16) ) 0. 18) ) 86 20) 77 21) 60 22) A = 71, a = 1.2, b =.9 2) A = 69.6, B = 20., a = 0 2) 10 ft 2) 1 26) (-, 11 2 ) 27) (x + 9) 2 + (y - 8) 2 = 9 28) -6z + 7w - y 29) -8x y 0) 22 1
10 Answer Key Testname: PRECALCULUS SUMMER MATH ) ) 7x 2 + 2x - 2 ) 2x 2 y 2 + xy - 21 ) 27x - 108x 2 + 1x - 6 ) x 2 (7x 2-2x + ) 6) (x - )(2x 2 + 1x + 9) 7) (x - )(x 2 + 8) 8) (7x + )(x - ) 9) (x + 8)(x - ) 0) x(x + 11)(x - 11) 1) prime 2) (x 2 + 1)(2x + 1)(2x - 1) ) x -7, x ) 1 2x - 18 ) (x + )(x - ) 6) 6x x + 11 (x + )(x + 2)(x + ) 7) x - x + 8) ) {1} 0) -, - 2 1) 6, 8 2) {-, 1} ) {-8-21, } ) -9; no real solution ) 6) {} -2-2, ) x - or x 6 8) y = - 1 x
11 Answer Key Testname: PRECALCULUS SUMMER MATH ) y x 60) y x ) 10 y x ) y = - 8x ) $10 6) 7 6) x 2-8x ) 67) ) x ) x 2 + 1x - 70) 1
12 Answer Key Testname: PRECALCULUS SUMMER MATH ) -0x ) 10 y x ) (-2, 9) 7) (2, -) 7) x = 1 76) minimum; 1, ) (-8, 0) and (, 0) 78) i 79) i 80) i 81) 12 ± i ) (-, 9] 8) (-,9) (9, ) 8) [, ) 8) (-, ) 86) Reflect the graph of f across the x-axis. 87) Shift the graph of y = x 2 left 9 units and then down units. 88) rises to the left and falls to the right 89) x = -1, x = 1, x = ) -t 2 - t - 91) x - x + 10x 2-0x x + 92) {(-2, -1)} 9) {(0, 1)}
13 Answer Key Testname: PRECALCULUS SUMMER MATH ) y x -2-9) ) 2 x = 16 97) log = 98) 99) {22} 100) ) {}
Summer Work for students entering PreCalculus
Summer Work for students entering PreCalculus Name Directions: The following packet represent a review of topics you learned in Algebra 1, Geometry, and Algebra 2. Complete your summer packet on separate
More informationSummer Packet A Math Refresher For Students Entering IB Mathematics SL
Summer Packet A Math Refresher For Students Entering IB Mathematics SL Name: PRECALCULUS SUMMER PACKET Directions: This packet is required if you are registered for Precalculus for the upcoming school
More informationPrecalculus Summer Assignment 2015
Precalculus Summer Assignment 2015 The following packet contains topics and definitions that you will be required to know in order to succeed in CP Pre-calculus this year. You are advised to be familiar
More informationMock Final Exam Name. Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) A) {- 30} B) {- 6} C) {30} D) {- 28}
Mock Final Exam Name Solve and check the linear equation. 1) (-8x + 8) + 1 = -7(x + 3) 1) A) {- 30} B) {- 6} C) {30} D) {- 28} First, write the value(s) that make the denominator(s) zero. Then solve the
More informationFinal Exam A Name. 20 i C) Solve the equation by factoring. 4) x2 = x + 30 A) {-5, 6} B) {5, 6} C) {1, 30} D) {-5, -6} -9 ± i 3 14
Final Exam A Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 1 1) x + 3 + 5 x - 3 = 30 (x + 3)(x - 3) 1) A) x -3, 3; B) x -3, 3; {4} C) No restrictions; {3} D)
More informationFinal Exam C Name i D) 2. Solve the equation by factoring. 4) x2 = x + 72 A) {1, 72} B) {-8, 9} C) {-8, -9} D) {8, 9} 9 ± i
Final Exam C Name First, write the value(s) that make the denominator(s) zero. Then solve the equation. 7 ) x + + 3 x - = 6 (x + )(x - ) ) A) No restrictions; {} B) x -, ; C) x -; {} D) x -, ; {2} Add
More informationLyman Memorial High School. CP Pre-Calculus Prerequisite Packet. Name:
Lyman Memorial High School CP Pre-Calculus Prerequisite Packet 018 Name: Dear Pre-Calculus Student, Within this packet you will find mathematical concepts and skills covered in Algebra I, II and Geometry.
More informationReference Material /Formulas for Pre-Calculus CP/ H Summer Packet
Reference Material /Formulas for Pre-Calculus CP/ H Summer Packet Week # 1 Order of Operations Step 1 Evaluate expressions inside grouping symbols. Order of Step 2 Evaluate all powers. Operations Step
More informationMHCA Math Summer Packet 2015
Directions: MHCA Math Summer Packet 2015 For students entering PreCalculus Honors You are to complete all the problems assigned in this packet by Friday, September 4 th. If you don t turn in your summer
More informationAlgebra 2 Honors Final Exam StudyGuide
Name: Score: 0 / 80 points (0%) Algebra 2 Honors Final Exam StudyGuide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Simplify. 2. D Multiply the numerator
More informationAlgebra Summer Review Packet
Name: Algebra Summer Review Packet About Algebra 1: Algebra 1 teaches students to think, reason, and communicate mathematically. Students use variables to determine solutions to real world problems. Skills
More informationBasic Fraction and Integer Operations (No calculators please!)
P1 Summer Math Review Packet For Students entering Geometry The problems in this packet are designed to help you review topics from previous mathematics courses that are important to your success in Geometry.
More informationID: ID: ID: of 39 1/18/ :43 AM. Student: Date: Instructor: Alfredo Alvarez Course: 2017 Spring Math 1314
1 of 39 1/18/017 10:43 AM Student: Date: Instructor: Alfredo Alvarez Course: 017 Spring Math 1314 Assignment: Practice Final 1. Graph the equation. y= x 3 ID: 1.1-11. Perform the multiplication and write
More informationCoach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers
Coach Stones Expanded Standard Pre-Calculus Algorithm Packet Page 1 Section: P.1 Algebraic Expressions, Mathematical Models and Real Numbers CLASSIFICATIONS OF NUMBERS NATURAL NUMBERS = N = {1,2,3,4,...}
More informationThese are the skills you should be proficient in performing before you get to Pre-AP Calculus.
Fort Zumwalt School District PRE-AP CALCULUS SUMMER REVIEW PACKET Name: 1. This packet is to be handed in to your Pre AP Calculus teacher on the first day of the school year. 2. All work must be shown
More informationRemember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
More informationSouthern Maryland Christian Academy Summer Math Assignment Options
Southern Maryland Christian Academy Summer Math Assignment Options Objectives: Retention of math skills learned from previous school year. Students will be practicing math skills so that retention is maintained
More informationIntermediate Algebra
Intermediate Algebra The purpose of this course is to strengthen students foundational conceptual and procedural skills in order to prepare students for college-and-career readiness. The course textbook,
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review. Fall, 2011 Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
More informationHomework. Basic properties of real numbers. Adding, subtracting, multiplying and dividing real numbers. Solve one step inequalities with integers.
Morgan County School District Re-3 A.P. Calculus August What is the language of algebra? Graphing real numbers. Comparing and ordering real numbers. Finding absolute value. September How do you solve one
More informationAre you ready for Algebra 3? Summer Packet *Required for all Algebra 3/Trigonometry Students*
Name: Date: Period: Are you ready for Algebra? Summer Packet *Required for all Students* The course prepares students for Pre Calculus and college math courses. In order to accomplish this, the course
More informationPre-Calculus Summer Math Packet 2018 Multiple Choice
Pre-Calculus Summer Math Packet 208 Multiple Choice Page A Complete all work on separate loose-leaf or graph paper. Solve problems without using a calculator. Write the answers to multiple choice questions
More information2014 Summer Review for Students Entering Algebra 2. TI-84 Plus Graphing Calculator is required for this course.
1. Solving Linear Equations 2. Solving Linear Systems of Equations 3. Multiplying Polynomials and Solving Quadratics 4. Writing the Equation of a Line 5. Laws of Exponents and Scientific Notation 6. Solving
More informationAlgebra II Summer Packet. Summer Name:
Algebra II Summer Packet Summer 2017 Name: NAME ALGEBRA II & TRIGONOMETRY SUMMER REVIEW PACKET To maintain a high quality program, students entering Algebra II are expected to remember the basics of the
More informationMATH 125 FALL 2018 ELAC TEST 3 TAKE HOME Name: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 125 FALL 2018 ELAC TEST 3 TAKE HOME Name: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Determine whether the functions f and g are inverses of
More informationACT MATH MUST-KNOWS Pre-Algebra and Elementary Algebra: 24 questions
Pre-Algebra and Elementary Algebra: 24 questions Basic operations using whole numbers, integers, fractions, decimals and percents Natural (Counting) Numbers: 1, 2, 3 Whole Numbers: 0, 1, 2, 3 Integers:
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 170 Final Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function at the given value of the independent variable and
More informationPreCalculus. American Heritage Upper School Summer Math Packet
! PreCalculus American Heritage Upper School Summer Math Packet All Upper School American Heritage math students are required to complete a summer math packet. This packet is intended for all students
More informationNew Rochelle High School Geometry Summer Assignment
NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and
More informationMath Prep for College Physics
Math Prep for College Physics This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (190 topics + 52 additional
More informationFinal Exam Review for DMAT 0310
Final Exam Review for DMAT 010 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor the polynomial completely. What is one of the factors? 1) x
More informationPreCalculus. Curriculum (637 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationThe American School of Marrakesh. AP Calculus AB Summer Preparation Packet
The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)
More informationCheck boxes of Edited Copy of Sp Topics (was 261-pilot)
Check boxes of Edited Copy of 10023 Sp 11 253 Topics (was 261-pilot) Intermediate Algebra (2011), 3rd Ed. [open all close all] R-Review of Basic Algebraic Concepts Section R.2 Ordering integers Plotting
More informationSUMMER ASSIGNMENT FOR ALGEBRA II/TRIGONOMETRY
SUMMER ASSIGNMENT FOR ALGEBRA II/TRIGONOMETRY This summer assignment is designed to ensure that you are prepared for Algebra II/ Trigonometry. Nothing on this summer assignment is new. Everything is a
More informationWhen using interval notation use instead of open circles, and use instead of solid dots.
P.1 Real Numbers PreCalculus P.1 REAL NUMBERS Learning Targets for P1 1. Describe an interval on the number line using inequalities. Describe an interval on the number line using interval notation (closed
More informationAlgebra 2 Honors: Final Exam Review
Name: Class: Date: Algebra 2 Honors: Final Exam Review Directions: You may write on this review packet. Remember that this packet is similar to the questions that you will have on your final exam. Attempt
More informationMATH98 Intermediate Algebra Practice Test Form A
MATH98 Intermediate Algebra Practice Test Form A MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation. 1) (y - 4) - (y + ) = 3y 1) A)
More informationMath Review for AP Calculus
Math Review for AP Calculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet
More informationMath Prep for Statics
Math Prep for Statics This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationNON-AP CALCULUS SUMMER PACKET
NON-AP CALCULUS SUMMER PACKET These problems are to be completed to the best of your ability by the first day of school. You will be given the opportunity to ask questions about problems you found difficult
More information8th Grade Math Definitions
8th Grade Math Definitions Absolute Value: 1. A number s distance from zero. 2. For any x, is defined as follows: x = x, if x < 0; x, if x 0. Acute Angle: An angle whose measure is greater than 0 and less
More informationTopics Covered in Math 115
Topics Covered in Math 115 Basic Concepts Integer Exponents Use bases and exponents. Evaluate exponential expressions. Apply the product, quotient, and power rules. Polynomial Expressions Perform addition
More informationMath 75 Mini-Mod Due Dates Spring 2016
Mini-Mod 1 Whole Numbers Due: 4/3 1.1 Whole Numbers 1.2 Rounding 1.3 Adding Whole Numbers; Estimation 1.4 Subtracting Whole Numbers 1.5 Basic Problem Solving 1.6 Multiplying Whole Numbers 1.7 Dividing
More informationAlgebra 2A Unit 1 Week 1 Day Activity Unit 1 Week 2 Day Activity Unit 1 Week 3 Day Activity Unit 2 Week 1 Day Activity
Algebra 2A Unit 1 Week 1 1 Pretest Unit 1 2 Evaluating Rational Expressions 3 Restrictions on Rational Expressions 4 Equivalent Forms of Rational Expressions 5 Simplifying Rational Expressions Unit 1 Week
More informationIntermediate Algebra
Intermediate Algebra 978-1-63545-084-2 To learn more about all our offerings Visit Knewton.com Source Author(s) (Text or Video) Title(s) Link (where applicable) Openstax Lyn Marecek, MaryAnne Anthony-Smith
More informationPrecalculus with Trigonometry Honors Summer Packet
Precalculus with Trigonometry Honors Summer Packet Welcome to Precalculus with Trigonometry Honors! We look forward to guiding you through an informative and eciting year en route to Calculus! In order
More informationReview Topics. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Review Topics MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. On the real number line, label the points with the given coordinates. 1) 11,- 11 1)
More informationList of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015)
List of PreCalculus Algebra Mathematical Concept Practice Sheets (Updated Spring 2015) MAT 155P MAT 155 1 Absolute Value Equations P 7 P 3 2 Absolute Value Inequalities P 9 P 4 3 Algebraic Expressions:
More informationCurriculum Catalog
2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II FUNDAMENTALS COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 1 UNIT
More informationBrushing up on Basic skills. Calculus AB (*problems for BC)
Brushing up on Basic skills To get you ready for Calculus AB (*problems for BC) Name: Directions: Use a pencil and the space provided next to each question to show all work. The purpose of this packet
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 170 Final Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function at the given value of the independent variable and
More informationSUMMER REVIEW PACKET. Name:
Wylie East HIGH SCHOOL SUMMER REVIEW PACKET For students entering Regular PRECALCULUS Name: Welcome to Pre-Calculus. The following packet needs to be finished and ready to be turned the first week of the
More informationBishop Kelley High School Summer Math Program Course: Honors Pre-Calculus
017 018 Summer Math Program Course: Honors Pre-Calculus NAME: DIRECTIONS: Show all work in the packet. Make sure you are aware of the calculator policy for this course. No matter when you have math, this
More informationRon Paul Curriculum Mathematics 8 Lesson List
Ron Paul Curriculum Mathematics 8 Lesson List 1 Introduction 2 Algebraic Addition 3 Algebraic Subtraction 4 Algebraic Multiplication 5 Week 1 Review 6 Algebraic Division 7 Powers and Exponents 8 Order
More informationAP Calculus AB Summer Assignment 2018
AP Calculus AB Summer Assignment 018 Name: Date Submitted: Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers, but the benefit you will receive by having this eperience
More informationReading Mathematical Expressions & Arithmetic Operations Expression Reads Note
Math 001 - Term 171 Reading Mathematical Expressions & Arithmetic Operations Expression Reads Note x A x belongs to A,x is in A Between an element and a set. A B A is a subset of B Between two sets. φ
More informationSummer Assignment for students ENTERING: Algebra 2 Trigonometry Honors
Summer Assignment for students ENTERING: Algebra Trigonometry Honors Please have the following worksheets completed and ready to be handed in on the first day of class, August 1, 017. Make sure you show
More informationHerndon High School Geometry Honors Summer Assignment
Welcome to Geometry! This summer packet is for all students enrolled in Geometry Honors at Herndon High School for Fall 07. The packet contains prerequisite skills that you will need to be successful in
More informationGeometry Summer Assignment
2018-2019 Geometry Summer Assignment You must show all work to earn full credit. This assignment will be due Friday, August 24, 2018. It will be worth 50 points. All of these skills are necessary to be
More informationWhich Mathematics Course Should You Take? August 22, 2018 Which mathematics course you should take depends on your current mathematics skill level
Which Mathematics Course Should You Take? August, 018 Which mathematics course you should take depends on your current mathematics skill level and your intended major. This is a conversation you should
More informationPreCalculus. Curriculum (447 topics additional topics)
PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.
More informationBARUCH COLLEGE MATH 1030 Practice Final Part 1, NO CALCULATORS. (E) All real numbers. (C) y = 1 2 x 5 2
BARUCH COLLEGE MATH 1030 Practice Final Part 1, NO CALCULATORS 1. Find the domain of f(x) = x + x x 4x. 1. (A) (, 0) (0, 4) (4, ) (B) (, 0) (4, ) (C) (, 4) (4, ) (D) (, ) (, 0) (0, ) (E) All real numbers.
More informationSimplify each numerical expression. Show all work! Only use a calculator to check. 1) x ) 25 ( x 2 3) 3) 4)
NAME HONORS ALGEBRA II REVIEW PACKET To maintain a high quality program, students entering Honors Algebra II are expected to remember the basics of the mathematics taught in their Algebra I course. In
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) 6x + 4
Math1420 Review Comprehesive Final Assessment Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Add or subtract as indicated. x + 5 1) x2
More informationMontini Catholic High School Algebra I Concepts
Montini Catholic High School Algebra I Concepts All students enrolled in Plane Geometry, Geometry, Honors Geometry, Modern Algebra II and Algebra II for the fall of 018 will take a diagnostic exam the
More informationNever leave a NEGATIVE EXPONENT or a ZERO EXPONENT in an answer in simplest form!!!!!
1 ICM Unit 0 Algebra Rules Lesson 1 Rules of Exponents RULE EXAMPLE EXPLANANTION a m a n = a m+n A) x x 6 = B) x 4 y 8 x 3 yz = When multiplying with like bases, keep the base and add the exponents. a
More informationADVANCED/HONORS ALGEBRA 2 - SUMMER PACKET
NAME ADVANCED/HONORS ALGEBRA 2 - SUMMER PACKET Part I. Order of Operations (PEMDAS) Parenthesis and other grouping symbols. Exponential expressions. Multiplication & Division. Addition & Subtraction. Tutorial:
More information= 9 = x + 8 = = -5x 19. For today: 2.5 (Review) and. 4.4a (also review) Objectives:
Math 65 / Notes & Practice #1 / 20 points / Due. / Name: Home Work Practice: Simplify the following expressions by reducing the fractions: 16 = 4 = 8xy =? = 9 40 32 38x 64 16 Solve the following equations
More informationSummer Review for Students Entering AP Calculus AB
Summer Review for Students Entering AP Calculus AB Class: Date: AP Calculus AB Summer Packet Please show all work in the spaces provided The answers are provided at the end of the packet Algebraic Manipulation
More informationHow to use this Algebra II - Semester 2 Study Packet
Excellence is not an act, but a habit. Aristotle Dear Algebra II Student, First of all, Congrats! for making it this far in your math career. Passing Algebra II is a huge mile-stone Give yourself a pat
More information9-12 Mathematics Vertical Alignment ( )
Algebra I Algebra II Geometry Pre- Calculus U1: translate between words and algebra -add and subtract real numbers -multiply and divide real numbers -evaluate containing exponents -evaluate containing
More informationCheck boxes of Edited Copy of Sp Topics (was 217-pilot)
Check boxes of Edited Copy of 10024 Sp 11 213 Topics (was 217-pilot) College Algebra, 9th Ed. [open all close all] R-Basic Algebra Operations Section R.1 Integers and rational numbers Rational and irrational
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES. ALGEBRA I Part II. 2 nd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA I Part II 2 nd Nine Weeks, 2016-2017 1 OVERVIEW Algebra I Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationMath Precalculus I University of Hawai i at Mānoa Spring
Math 135 - Precalculus I University of Hawai i at Mānoa Spring - 2013 Created for Math 135, Spring 2008 by Lukasz Grabarek and Michael Joyce Send comments and corrections to lukasz@math.hawaii.edu Contents
More informationWelcome to IB MATH SL1!
Welcome to IB MATH SL1! Congratulations! You are currently enrolled in IB Math SL1 for the Fall of 017. This is a two-semester course, which prepares you for the IB Math SL you will take in 018-019 school
More informationMy Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
More information1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents.
Math120 - Precalculus. Final Review Prepared by Dr. P. Babaali 1 Algebra 1. Use the properties of exponents to simplify the following expression, writing your answer with only positive exponents. (a) 5
More informationMy website:
Honors Algebra 2 Summer Assignment To: All Students Taking Honors Algebra 2 for the school year 2017-2018 From: Mrs. Murphy Contact Information: michele.murphy@carlisleindians.org Dear Students and Parents,
More informationALGEBRA II Grades 9-12
Summer 2015 Units: 10 high school credits UC Requirement Category: c General Description: ALGEBRA II Grades 9-12 Algebra II is a course which further develops the concepts learned in Algebra I. It will
More informationChapter R - Basic Algebra Operations (94 topics, no due date)
Course Name: Math 00024 Course Code: N/A ALEKS Course: College Algebra Instructor: Master Templates Course Dates: Begin: 08/15/2014 End: 08/15/2015 Course Content: 207 topics Textbook: Barnett/Ziegler/Byleen/Sobecki:
More informationThis image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc.
This image cannot currently be displayed. Course Catalog Algebra II 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND
More informationSTANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA II. 2 nd Nine Weeks,
STANDARDS OF LEARNING CONTENT REVIEW NOTES ALGEBRA II 2 nd Nine Weeks, 2016-2017 1 OVERVIEW Algebra II Content Review Notes are designed by the High School Mathematics Steering Committee as a resource
More informationAlgebra and Trigonometry
Algebra and Trigonometry 978-1-63545-098-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax Jay Abramson, Arizona State
More information3 Inequalities Absolute Values Inequalities and Intervals... 18
Contents 1 Real Numbers, Exponents, and Radicals 1.1 Rationalizing the Denominator................................... 1. Factoring Polynomials........................................ 1. Algebraic and Fractional
More informationPrep for the CSU ELM
Prep for the CSU ELM This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular
More informationCottonwood Classical Preparatory School CCPS Pre-Calculus with Statistics Summer Packet
Cottonwood Classical Preparatory School CCPS Pre-Calculus with Statistics Summer Packet Greetings Pre-Calculus Student: Welcome to another successful year in math class at CCPS. The summer packet is one
More informationPre-Calculus MATH 119 Fall Section 1.1. Section objectives. Section 1.3. Section objectives. Section A.10. Section objectives
Pre-Calculus MATH 119 Fall 2013 Learning Objectives Section 1.1 1. Use the Distance Formula 2. Use the Midpoint Formula 4. Graph Equations Using a Graphing Utility 5. Use a Graphing Utility to Create Tables
More informationCumulative Review. Name. 13) 2x = -4 13) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Cumulative Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the algebraic expression for the given value or values of the variable(s).
More informationJune Dear prospective Pre-Calculus student,
Dear prospective Pre-Calculus student, June 017 We are pleased that you have decided to take Pre-Calculus next year. Pre-Calculus is a challenging class that requires that you have mastered the concepts
More informationALGEBRA 2 X. Final Exam. Review Packet
ALGEBRA X Final Exam Review Packet Multiple Choice Match: 1) x + y = r a) equation of a line ) x = 5y 4y+ b) equation of a hyperbola ) 4) x y + = 1 64 9 c) equation of a parabola x y = 1 4 49 d) equation
More informationElementary Algebra
Elementary Algebra 978-1-63545-008-8 To learn more about all our offerings Visit Knewton.com/highered Source Author(s) (Text or Video) Title(s) Link (where applicable) Flatworld Text John Redden Elementary
More informationOBJECTIVES UNIT 1. Lesson 1.0
OBJECTIVES UNIT 1 Lesson 1.0 1. Define "set," "element," "finite set," and "infinite set," "empty set," and "null set" and give two examples of each term. 2. Define "subset," "universal set," and "disjoint
More informationSpiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade
Course Description This course includes an in-depth analysis of algebraic problem solving preparing for College Level Algebra. Topics include: Equations and Inequalities, Linear Relations and Functions,
More informationCollege Algebra with Trigonometry
College Algebra with Trigonometry This course covers the topics outlined below. You can customize the scope and sequence of this course to meet your curricular needs. Curriculum (556 topics + 614 additional
More informationMATH Spring 2010 Topics per Section
MATH 101 - Spring 2010 Topics per Section Chapter 1 : These are the topics in ALEKS covered by each Section of the book. Section 1.1 : Section 1.2 : Ordering integers Plotting integers on a number line
More informationIntroductory Chapter(s)
Course 1 6 11-12 years 1 Exponents 2 Sequences Number Theory 3 Divisibility 4 Prime Factorization 5 Greatest Common Factor Fractions and Decimals 6 Comparing and Ordering Fractions 7 Comparing and Ordering
More information0615a2. Algebra 2/Trigonometry Regents Exam x 2 y? 4 x. y 2. x 3 y
Algebra /Trigonometry Regents Exam 065 www.jmap.org 065a Which list of ordered pairs does not represent a one-to-one function? ) (, ),(,0),(,),(4,) ) (,),(,),(,4),(4,6) ) (,),(,4),(,),(4,) 4) (,5),(,4),(,),(4,0)
More informationParenthesis and other grouping symbols. Exponential expressions. Multiplication & Division Addition & Subtraction.
NAME SADDLE BROOK HIGH SCHOOL HONORS ALGEBRA II SUMMER PACKET To maintain a high quality program, students entering Honors Algebra II are expected to remember the basics of the mathematics taught in their
More information