Northwest High School s Algebra 2/Honors Algebra 2

Size: px
Start display at page:

Download "Northwest High School s Algebra 2/Honors Algebra 2"

Transcription

1 Northwest High School s Algebra /Honors Algebra Summer Review Packet 0 DUE Frida, September, 0 Student Name

2 This packet has been designed to help ou review various mathematical topics that will be necessar for our success in Algebra /Honors Algebra. Instructions: DO ALL PROBLEMS WITHOUT USING A CALCULATOR. Show all work that leads ou to the correct solution. Additional copies of this packet ma be obtained from the Northwest High School website: ALL work should be completed and read to be turned in. This packet will count as part of our first quarter grade. Due Date: Frida, September, 0 Deadline: Frida, September 9, 0 If ou have an questions regarding the summer math packet, please call Aimee Conwa at (0) ENJOY YOUR SUMMER! WE ARE LOOKING FORWARD TO SEEING YOU IN THE FALL.

3 Table of Contents. Fractions page. Order of Operations page. Solving Equations page. Table of Powers page. Eponents page 6. Radicals page 6 7. Add, Subtract & Multipl Polnomials page 7 8. Factoring Polnomials page 8 9. Solving Sstems b Substitution page 9 0. Solving Sstems b Elimination page 0. Quadratic Formula page. Graphing Functions page. Honors Algebra page

4 Fractions To simplif a fraction, divide numerator and denominator b a common factor. 8 6 E.- = 6 To add or subtract fractions, rewrite the fractions using a common denominator, then add or subtract the numerators. 8 E.- = = To multipl fractions, multipl numerator times numerator and denominator times denominator. To divide fractions, multipl b the reciprocal. Simplif answers as needed. 6 6 E.- = = E.- = = = Simplif the following fractions: 8. =. =. = 0 Perform the following operations and simplif if necessar:. 7 6 =. = 6. = = 8. = 9. = =. =. = =. =. = = 7. = 8. = 8 7

5 Order of Operations Hints/Guide: The rules for multipling integers are: positive positive = positive negative negative = positive positive negative = negative negative positive = negative The rules for dividing integers are the same as for multipling integers. REMEMBER: Order of Operations (PEMDAS) P parentheses E eponents M/D multipl/divide which comes first A/S add/subtract which comes first Eercises: Solve the following problems. Show all work [ ( 6 ) ]. ( ) Use grouping smbols to make the equation true = 7

6 Hints/Guide: Solving Equations Equation Solving Procedure:. Multipl on both sides to clear the equation of fractions or decimals.. Distribute.. Collect like terms on each side, if necessar.. Get all terms with variables on one side and all constant terms on the other side.. Multipl or divide to solve for the variable. 6. Check all possible solutions in the original equation. Eample: ( ) 7 = ( ) Distribute. 0 7 = Combine like terms. Simplif. = Move all terms with variables to one side. = Divide to isolate the variable. = Eercises: Solve each equation. Show all work.. ( 6) = t 9 = r. ( ) 6. ( ) 0 = ( 6). a ( a ) = a ( a )

7 Table of Powers Please complete the following table of powers ecept for the shaded areas

8 Eponents Hints/Guide: Rules of Eponents Negative Eponents: Product Rule: a m a m mn Power Rule: ( ) a 0 = a = a n a = n a n m n = a Quotient Rule: a a m n = a mn n a a = a Quotient to a Power: b n n ab = a b Product to a Power: ( ) n n = a b n n Eercises: Simplif using the Rules of Eponents ( a ) ( a ) ( ) ( ) 7. ( ) 8. ( ) 9. ( a b) 0. ( ) ( ). ( ). ( ) ( ) Epress using a positive eponent... 8

9 Hints/Guide: Radicals Roots or radicals are the opposite operation of appling eponents; ou can "undo" a power with a radical, and a radical can "undo" a power. For instance, if ou square, ou get, and if ou "take the square root of ", ou get. To simplif a square root, ou "take out" anthing that is a "perfect square"; that is, ou take out front anthing that has two copies of the same factor. E.- = = To simplifing multiplied radicals,we use the fact that the product of two radicals is the same as the radical of the product, and vice versa. ab = a b E.- 6 = = Just as with regular numbers, square roots can be added together. But ou might not be able to simplif the addition all the wa down to one number. Just as "ou can't add apples and oranges", so also ou cannot combine "unlike" radicals. To add radical terms together, the have to have the same radical part. E.- = Eercises: Simplif the radicals z Multipl the radicals Add or subtract the radicals

10 Addition, Subtraction and Multiplication of Polnomials Hints/Guide: Onl like terms can be added or subtracted. Like terms have the same variables with the same eponents. Onl the coefficients (numbers) are added or subtracted. A subtraction sign in front of the parentheses changes each term in the parentheses to the opposite. Multipl the coefficients and use the rules of eponents for the variables. Remember: FOIL F first O outers I inners L last OR Bo Method Eamples: ) Add the polnomials. ) Subtract the polnomials. ( ) ( ) ( ) ( ) 9 = ( ) 9 = = 7 = ) Multipl the polnomials. ( )( ) ( ) ( ) = 8 = 8 = Eercises: Add, subtract, or multipl the polnomials. Show all work.. ( ) ( ). ( ) ( ) 6. ( ) ( ) 7 6. ( ) ( ) 9 8. ( ) 6. ( ) 6 7. ( )( ) 8. ( )( ) 9. ( )( ) 0. ( )

11 Factoring Polnomials Hints/Guide: Alwas look for the greatest common factor first. Don t forget to include the variable in the common factor. Factor into two parentheses, if possible. Check our answer b multipling. Eamples: Factor 7 Question: What factor is common to the coefficients of,, 7, and? Answer: Question: What eponent is common to variables of,,, and Answer: 9 = ( ) Factor t t Think: What multiplies to - and adds to? = ( t )( t 8)? Pairs of Factors Sums of Factors -, -, 0 -, 8 -, 6 Eercises: Find the GCF from the lists of factors for each pair of numbers.. :,,,, 6,. 6:,,,, 6, 9,, 8, 6. 8:,,,8 8:,,,, 6, 9, 8 :,,, 6, 9, 8, 7, :,,,, 6, Factor the polnomials. Show all work

12 Solving Sstems of Equations b Substitution Hints/Guide: Solve one equation for one of the variables with a coefficient of. Substitute what the variable equals into the other equation of the original pair. (The new equation should now have onl one variable.) Solve for that variable. Use that answer to solve for the other variable. Answers are ordered pairs: (, ). Eample: Solve = 6 =. Solve the first equation for : = 6 Substitute our answer above into the second equation: (6 ) = Distribute: 8 6 = Combine like terms: 8 8 = Collect like terms to one side (subtract 8 from both sides): 8 = - Isolate the variable (divide b 8 on both sides): = 7 or 8 7 = = 6 0 = or Substitute the value into an original equation to solve for : 6 The solution to the sstem of equations: 7, Eercises: Solve the sstem of equations using the substitution method. Show all work.. s t = -. = 6 s t = = -. = -6. = = = 7

13 Solving Sstems of Equations b Elimination Hints/Guide: Answers are ordered pairs (, ). Eliminate one variable b adding the two equations together. Sometimes, one equation must be multiplied b a number to have a variable with the same coefficient and opposite sign. Eamples:. Solve = 8 = 7 = 8 Multipl the equation b - to make the coefficients opposite: - = -7 Add the equations together and solve for : 0 = = Substitute the value of into the original equation: () = 8 Solve the equation for : = 6 = The solution for this sstem: (,). Solve 6 = -6 = 6 = -6 Multipl the second equation b to make the coefficients opposites: 6 = Add the equations together and solve for : 8 0 = 6 = Substitute the value of into the original equation: () 6 = -6 Solve the equation for : 6 = - = - The solution for this sstem: (,-) Eercises: Solve the sstems of equations b elimination. Show all work.. = 0. = 7. = 8. = = 8 = = =

14 Hints/Guide: Quadratic Formula Assume that the radical etends over the whole epression b ac. Equation must be in the form a b c = 0 (standard form) to begin. Tr to factor first. If ou cannot find factors, then use the quadratic formula. Quadratic Formula b ± = b ac a Eample: Solve = 7 Write the equation in standard form: 7 = 0 Identif a, b, and c for the formula: a =, b = -, c = -7 Substitute into the formula: Simplif: = ( ) ± ( ) ( )( 7) ( ) ± 6 8 = Separate into two solutions: Solutions: =. and =. = and = Eercises: Solve using the quadratic formula. Show all work.. =. = = 0

15 Graphing Functions Use slope (m) and -intercept (b) to graph the following linear equations = m b.. = =. =.. =. = 6. =

16 7. = 7 6 X Y = X Y = 7 6 X Y = X - 0 Y

17 ***** Questions through 9 are for Honors Algebra ONLY *****. Line k passes through the point (8, -) and is parallel to the line =. Write an equation for line k.. Line m is perpendicular to = and passes through the origin. What is the equation of line m? 7. Use A = a. A B and B = 6 0 to perform the indicated operations. b. B A c. -A. Simplif the epressions. a. ( ) ( 8) (9 ) b. ( )( ) c. ( )( ) 6 d. e. ( ) f. ( 6) ( ). Factor completel. a. 9 b. 0 c. 0 d. 8 e. f.

18 6. A car salesman s weekl salar is base amount plus an additional amount for each car sold. The table below shows a person s weekl salar earned for the last three weeks. Cars Sold (C) Weekl Salar (S) $00 9 $000 $00 What is the person s weekl salar when cars are sold? Justif our answer. 7. Sketch a graph of f ( ) =. Then complete the characteristics below. Domain: Range: Ais of Smmetr: Increasing Interval: Decreasing Interval -intercepts: -intercept: Minimum Value: Maimum Value: Verte: Continuous? 8. What can ou sa about the -coordinates of two distinct points on a vertical line? 9. Simplif each of the following using eact answers no decimals. (Leave our answers in radical form.) a. b. 9 c. d. 8 8 e.

Algebra 1 Skills Needed for Success in Math

Algebra 1 Skills Needed for Success in Math Algebra 1 Skills Needed for Success in Math A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed to simplif

More information

+ = + + = x = + = + = 36x

+ = + + = x = + = + = 36x Ch 5 Alg L Homework Worksheets Computation Worksheet #1: You should be able to do these without a calculator! A) Addition (Subtraction = add the opposite of) B) Multiplication (Division = multipl b the

More information

A. Simplifying Polynomial Expressions

A. Simplifying Polynomial Expressions A. Simplifing Polnomial Epressions I. Combining Like Terms - You can add or subtract terms that are considered "like", or terms that have the same variable(s) with the same eponent(s). E. 1: 5-7 + 10 +

More information

Algebra 1 Skills Needed to be Successful in Algebra 2

Algebra 1 Skills Needed to be Successful in Algebra 2 Algebra 1 Skills Needed to be Successful in Algebra A. Simplifing Polnomial Epressions Objectives: The student will be able to: Appl the appropriate arithmetic operations and algebraic properties needed

More information

Unit 2 Notes Packet on Quadratic Functions and Factoring

Unit 2 Notes Packet on Quadratic Functions and Factoring Name: Period: Unit Notes Packet on Quadratic Functions and Factoring Notes #: Graphing quadratic equations in standard form, verte form, and intercept form. A. Intro to Graphs of Quadratic Equations: a

More information

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1

Math 030 Review for Final Exam Revised Fall 2010 RH/ DM 1 Math 00 Review for Final Eam Revised Fall 010 RH/ DM 1 1. Solve the equations: (-1) (7) (-) (-1) () 1 1 1 1 f. 1 g. h. 1 11 i. 9. Solve the following equations for the given variable: 1 Solve for. D ab

More information

RAMAPO&INDIAN*HILLS*SCHOOL*DISTRICT*

RAMAPO&INDIAN*HILLS*SCHOOL*DISTRICT* 1 * * Algebra 2 CP Summer Packet RAMAPO&INDIAN*HILLS*SCHOOL*DISTRICT* DearRamapo*IndianHillsStudent: Pleasefindattachedthesummerpacketforourupcomingmathcourse.Thepurposeof thesummerpacketistoprovideouwithanopportunittoreviewprerequisiteskillsand

More information

Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards. An equation that contains an absolute value expression

Glossary. Also available at BigIdeasMath.com: multi-language glossary vocabulary flash cards. An equation that contains an absolute value expression Glossar This student friendl glossar is designed to be a reference for ke vocabular, properties, and mathematical terms. Several of the entries include a short eample to aid our understanding of important

More information

JAMES WOOD HIGH SCHOOL 161 Apple Pie Ridge Road Winchester, VA (540) FAX (540)

JAMES WOOD HIGH SCHOOL 161 Apple Pie Ridge Road Winchester, VA (540) FAX (540) JAMES WOOD HIGH SCHOOL 161 Apple Pie Ridge Road Winchester, VA 603-4118 (540) 667-56 FAX (540) 667-3154 Summer Math Packet Ms. K. Hill hillk@fcpsk1.net Honors Algebra Name N School o Welcome to Honors

More information

Summer Review For Students Entering Algebra 2

Summer Review For Students Entering Algebra 2 Summer Review For Students Entering Algebra Teachers and administrators at Tuscarora High School activel encourage parents and communit members to engage in children s learning. This Summer Review For

More information

Northwest High School s Algebra 1

Northwest High School s Algebra 1 Northwest High School s Algebra 1 Summer Review Packet 2011 DUE WEDNESDAY, SEPTEMBER 2, 2011 Student Name This packet has been designed to help you review various mathematical topics that will be necessary

More information

The American School of Marrakesh. Algebra 2 Algebra 2 Summer Preparation Packet

The American School of Marrakesh. Algebra 2 Algebra 2 Summer Preparation Packet The American School of Marrakesh Algebra Algebra Summer Preparation Packet Summer 016 Algebra Summer Preparation Packet This summer packet contains eciting math problems designed to ensure our readiness

More information

Northwest High School s Algebra 1

Northwest High School s Algebra 1 Northwest High School s Algebra 1 Summer Review Packet 2015 DUE THE FIRST DAY OF SCHOOL Student Name This packet has been designed to help you review various mathematical topics that will be necessary

More information

PreCalculus. Ocean Township High School Mathematics Department

PreCalculus. Ocean Township High School Mathematics Department PreCalculus Summer Assignment Name Period Date Ocean Township High School Mathematics Department These are important topics from previous courses that ou must be comfortable doing before ou can be successful

More information

Algebra 2 Honors Summer Packet 2018

Algebra 2 Honors Summer Packet 2018 Algebra Honors Summer Packet 018 Solving Linear Equations with Fractional Coefficients For these problems, ou should be able to: A) determine the LCD when given two or more fractions B) solve a linear

More information

Are You Ready For Math Analysis?

Are You Ready For Math Analysis? Are You Read For Math Analsis? This is a District-Wide Summer Assignment for students taking Math Analsis in September 018. The Math Analsis teachers in all UCVTS programs will be using this for evaluation

More information

Northwest High School s Geometry

Northwest High School s Geometry Northwest High School s Geometry Summer Math Packet (For 2013-2014) DUE THE FIRST DAY OF SCHOOL Student Name: - 1 - This packet has been designed to help you review various mathematical topics that will

More information

H.Algebra 2 Summer Review Packet

H.Algebra 2 Summer Review Packet H.Algebra Summer Review Packet 1 Correlation of Algebra Summer Packet with Algebra 1 Objectives A. Simplifing Polnomial Epressions Objectives: The student will be able to: Use the commutative, associative,

More information

EOC Review. Algebra I

EOC Review. Algebra I EOC Review Algebra I Order of Operations PEMDAS Parentheses, Eponents, Multiplication/Division, Add/Subtract from left to right. A. Simplif each epression using appropriate Order of Operations.. 5 6 +.

More information

Algebra 2 CPA Summer Assignment 2018

Algebra 2 CPA Summer Assignment 2018 Algebra CPA Summer Assignment 018 This assignment is designed for ou to practice topics learned in Algebra 1 that will be relevant in the Algebra CPA curriculum. This review is especiall important as ou

More information

Summer Math Packet (revised 2017)

Summer Math Packet (revised 2017) Summer Math Packet (revised 07) In preparation for Honors Math III, we have prepared a packet of concepts that students should know how to do as these concepts have been taught in previous math classes.

More information

math FALL developmental mathematics sullivan 1e

math FALL developmental mathematics sullivan 1e TSIpractice eam review 1 131 180 plus 34 TSI questions for elementar and intermediate algebra m0300004301 aaa Name www.alvarezmathhelp.com math0300004301 FALL 01 100 interactmath developmental mathematics

More information

Are You Ready For Math Analysis?

Are You Ready For Math Analysis? This is a District-Wide Summer Assignment for students taking Math Analsis in September 014. The Math Analsis teachers in all UCVTS programs will be using this for evaluation in their classes. Are ou read

More information

INTRODUCTION GOOD LUCK!

INTRODUCTION GOOD LUCK! INTRODUCTION The Summer Skills Assignment for has been developed to provide all learners of our St. Mar s Count Public Schools communit an opportunit to shore up their prerequisite mathematical skills

More information

Summer Mathematics Packet Say Hello to Algebra 2. For Students Entering Algebra 2

Summer Mathematics Packet Say Hello to Algebra 2. For Students Entering Algebra 2 Summer Math Packet Student Name: Say Hello to Algebra 2 For Students Entering Algebra 2 This summer math booklet was developed to provide students in middle school an opportunity to review grade level

More information

Algebra/Pre-calc Review

Algebra/Pre-calc Review Algebra/Pre-calc Review The following pages contain various algebra and pre-calculus topics that are used in the stud of calculus. These pages were designed so that students can refresh their knowledge

More information

review math0410 (1-174) and math 0320 ( ) aafinm mg

review math0410 (1-174) and math 0320 ( ) aafinm mg Eam Name review math04 (1-174) and math 0320 (17-243) 03201700aafinm0424300 mg MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplif. 1) 7 2-3 A)

More information

Summer Packet Geometry PAP

Summer Packet Geometry PAP Summer Packet Geometry PAP IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Geometry with different strengths and needs. For this reason, students have options for completing

More information

math0320 FALL interactmath sections developmental mathematics sullivan 1e

math0320 FALL interactmath sections developmental mathematics sullivan 1e Eam final eam review 180 plus 234 TSI questions for intermediate algebra m032000 013014 NEW Name www.alvarezmathhelp.com math0320 FALL 201 1400 interactmath sections developmental mathematics sullivan

More information

Ch 5 Alg 2 L2 Note Sheet Key Do Activity 1 on your Ch 5 Activity Sheet.

Ch 5 Alg 2 L2 Note Sheet Key Do Activity 1 on your Ch 5 Activity Sheet. Ch Alg L Note Sheet Ke Do Activit 1 on our Ch Activit Sheet. Chapter : Quadratic Equations and Functions.1 Modeling Data With Quadratic Functions You had three forms for linear equations, ou will have

More information

Bishop Kelley High School Summer Math Program Course: Algebra 2 A

Bishop Kelley High School Summer Math Program Course: Algebra 2 A 06 07 Bishop Kelley High School Summer Math Program Course: Algebra A NAME: DIRECTIONS: Show all work in packet!!! The first 6 pages of this packet provide eamples as to how to work some of the problems

More information

Chapter 5: Quadratic Equations and Functions 5.1 Modeling Data With Quadratic Functions Quadratic Functions and Their Graphs

Chapter 5: Quadratic Equations and Functions 5.1 Modeling Data With Quadratic Functions Quadratic Functions and Their Graphs Ch 5 Alg Note Sheet Ke Chapter 5: Quadratic Equations and Functions 5.1 Modeling Data With Quadratic Functions Quadratic Functions and Their Graphs Definition: Standard Form of a Quadratic Function The

More information

Algebra Final Exam Review Packet

Algebra Final Exam Review Packet Algebra 1 00 Final Eam Review Packet UNIT 1 EXPONENTS / RADICALS Eponents Degree of a monomial: Add the degrees of all the in the monomial together. o Eample - Find the degree of 5 7 yz Degree of a polynomial:

More information

Classwork #40: Final Review: Solving Equations, Word Problems, Linear Equations, Systems of Linear Equations

Classwork #40: Final Review: Solving Equations, Word Problems, Linear Equations, Systems of Linear Equations Classwork #0: Final Review: Solving Equations, Word Problems, Linear Equations, Sstems of Linear Equations Solving Equations: Isolate the variable! Things to watch for: when ou have parentheses the inequalit

More information

First Semester Final Review NON-Graphing Calculator

First Semester Final Review NON-Graphing Calculator Algebra First Semester Final Review NON-Graphing Calculator Name:. 1. Find the slope of the line passing through the points ( 5, ) and ( 3, 7).. Find the slope-intercept equation of the line passing through

More information

Decimal Operations No Calculators!!! Directions: Perform the indicated operation. Show all work. Use extra paper if necessary.

Decimal Operations No Calculators!!! Directions: Perform the indicated operation. Show all work. Use extra paper if necessary. Decimal Operations No Calculators!!! Directions: Perform the indicated operation. Show all work. Use etra paper if necessar. Find.8 +.9...09 +. + 0.06 =. 6.08 + 6.8 + 00. =. 8. 6.09 =. 00.908. = Find.

More information

Albert Einstein High School Summer Task Cover Sheet

Albert Einstein High School Summer Task Cover Sheet Albert Einstein High School Summer Task Cover Sheet Algebra 2 Teacher(s): Kenneth Alford, Lori Scherr Honors Algebra 2 Teacher(s): Michael Long, Tim Miamoto, Cnthia Reese Teacher(s) Contact Information:

More information

Chapter 18 Quadratic Function 2

Chapter 18 Quadratic Function 2 Chapter 18 Quadratic Function Completed Square Form 1 Consider this special set of numbers - the square numbers or the set of perfect squares. 4 = = 9 = 3 = 16 = 4 = 5 = 5 = Numbers like 5, 11, 15 are

More information

An assessment of these skills will occur the first week of school.

An assessment of these skills will occur the first week of school. Fort Zumwalt West High School Pre-AP Algebra SUMMER REVIEW PACKET Name: * This packet is to be handed in to our Pre AP Algebra teacher on the first da of the school ear. *All work must be shown in the

More information

FOR ALL STUDENTS TAKING ALGEBRA I SUMMER REVIEW PACKET

FOR ALL STUDENTS TAKING ALGEBRA I SUMMER REVIEW PACKET FOR ALL STUDENTS TAKING ALGEBRA I - SUMMER REVIEW PACKET Dear Student and Parent/Guardian, The math department at Central Dauphin School District wants ou to be successful in Algebra I. We also want ou

More information

c) domain {x R, x 3}, range {y R}

c) domain {x R, x 3}, range {y R} Answers Chapter 1 Functions 1.1 Functions, Domain, and Range 1. a) Yes, no vertical line will pass through more than one point. b) No, an vertical line between = 6 and = 6 will pass through two points..

More information

Math 154 :: Elementary Algebra

Math 154 :: Elementary Algebra Math :: Elementar Algebra Section. Section. Section. Section. Section. Section. Math :: Elementar Algebra Section. Eponents. When multipling like-bases, ou can add the eponents to simplif the epression..

More information

Algebra II Notes Unit Five: Quadratic Functions. Syllabus Objectives: 5.1 The student will graph quadratic functions with and without technology.

Algebra II Notes Unit Five: Quadratic Functions. Syllabus Objectives: 5.1 The student will graph quadratic functions with and without technology. Sllabus Objectives:.1 The student will graph quadratic functions with and without technolog. Quadratic Function: a function that can be written in the form are real numbers Parabola: the U-shaped graph

More information

Name: Richard Montgomery High School Department of Mathematics. Summer Math Packet. for students entering. Algebra 2/Trig*

Name: Richard Montgomery High School Department of Mathematics. Summer Math Packet. for students entering. Algebra 2/Trig* Name: Richard Montgomer High School Department of Mathematics Summer Math Packet for students entering Algebra 2/Trig* For the following courses: AAF, Honors Algebra 2, Algebra 2 (Please go the RM website

More information

Math Analysis/Honors Math Analysis Summer Assignment

Math Analysis/Honors Math Analysis Summer Assignment Math Analysis/Honors Math Analysis Summer Assignment To be successful in Math Analysis or Honors Math Analysis, a full understanding of the topics listed below is required prior to the school year. To

More information

ALLEN PARK HIGH SCHOOL S u m m er A s s e s s m e n t

ALLEN PARK HIGH SCHOOL S u m m er A s s e s s m e n t ALLEN PARK HIGH SCHOOL S u m m er A s s e s s m e n t F o r S t u d e n t s E n t e r i n g A l g e b r a This summer packet is intended to be completed by the FIRST DAY of school. This packet will be

More information

Lesson 7.1 Polynomial Degree and Finite Differences

Lesson 7.1 Polynomial Degree and Finite Differences Lesson 7.1 Polnomial Degree and Finite Differences 1. Identif the degree of each polnomial. a. 1 b. 0. 1. 3. 3 c. 0 16 0. Determine which of the epressions are polnomials. For each polnomial, state its

More information

Algebra 2 Semester Exam Review

Algebra 2 Semester Exam Review Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation

More information

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Note Guideline of Algebraic Concepts. Designed to assist students in A Summer Review of Algebra COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Note Guideline of Algebraic Concepts Designed to assist students in A Summer Review of Algebra [A teacher prepared compilation of the 7 Algebraic concepts deemed

More information

Pre-Calculus Summer Packet

Pre-Calculus Summer Packet Pre-Calculus Summer Packet Name ALLEN PARK HIGH SCHOOL Summer Assessment Pre-Calculus Summer Packet For Students Entering Pre-Calculus Summer 05 This summer packet is intended to be completed by the FIRST

More information

Parenthesis and other grouping symbols. Exponential expressions. Multiplication & Division Addition & Subtraction.

Parenthesis 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

Course 15 Numbers and Their Properties

Course 15 Numbers and Their Properties Course Numbers and Their Properties KEY Module: Objective: Rules for Eponents and Radicals To practice appling rules for eponents when the eponents are rational numbers Name: Date: Fill in the blanks.

More information

Math 3201 UNIT 5: Polynomial Functions NOTES. Characteristics of Graphs and Equations of Polynomials Functions

Math 3201 UNIT 5: Polynomial Functions NOTES. Characteristics of Graphs and Equations of Polynomials Functions 1 Math 301 UNIT 5: Polnomial Functions NOTES Section 5.1 and 5.: Characteristics of Graphs and Equations of Polnomials Functions What is a polnomial function? Polnomial Function: - A function that contains

More information

Geometry 21 Summer Work Packet Review and Study Guide

Geometry 21 Summer Work Packet Review and Study Guide Geometry Summer Work Packet Review and Study Guide This study guide is designed to accompany the Geometry Summer Work Packet. Its purpose is to offer a review of the ten specific concepts covered in the

More information

Bishop Kelley High School Summer Math Program Course: Algebra 2 A

Bishop Kelley High School Summer Math Program Course: Algebra 2 A 015 016 Bishop Kelley High School Summer Math Program Course: Algebra A NAME: DIRECTIONS: Show all work in packet!!! The first 16 pages of this packet provide eamples as to how to work some of the problems

More information

Graphing Calculator Computations 2

Graphing Calculator Computations 2 Graphing Calculator Computations A) Write the graphing calculator notation and B) Evaluate each epression. 4 1) 15 43 8 e) 15 - -4 * 3^ + 8 ^ 4/ - 1) ) 5 ) 8 3 3) 3 4 1 8 3) 7 9 4) 1 3 5 4) 5) 5 5) 6)

More information

Northwest High School s Algebra 1. Summer Review Packet

Northwest High School s Algebra 1. Summer Review Packet Northwest High School s Algebra 1 Summer Review Packet This packet is optional! It will NOT be collected for a grade next school year! This packet has been designed to help you review various mathematical

More information

Basic Fraction and Integer Operations (No calculators please!)

Basic 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 information

Maths A Level Summer Assignment & Transition Work

Maths A Level Summer Assignment & Transition Work Maths A Level Summer Assignment & Transition Work The summer assignment element should take no longer than hours to complete. Your summer assignment for each course must be submitted in the relevant first

More information

Rising HONORS Algebra 2 TRIG student Summer Packet for 2016 (school year )

Rising HONORS Algebra 2 TRIG student Summer Packet for 2016 (school year ) Rising HONORS Algebra TRIG student Summer Packet for 016 (school ear 016-17) Welcome to Algebra TRIG! To be successful in Algebra Trig, ou must be proficient at solving and simplifing each tpe of problem

More information

Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1

Learning Goals. College of Charleston Department of Mathematics Math 101: College Algebra Final Exam Review Problems 1 College of Charleston Department of Mathematics Math 0: College Algebra Final Eam Review Problems Learning Goals (AL-) Arithmetic of Real and Comple Numbers: I can classif numbers as natural, integer,

More information

Algebra II Notes Unit Six: Polynomials Syllabus Objectives: 6.2 The student will simplify polynomial expressions.

Algebra II Notes Unit Six: Polynomials Syllabus Objectives: 6.2 The student will simplify polynomial expressions. Algebra II Notes Unit Si: Polnomials Sllabus Objectives: 6. The student will simplif polnomial epressions. Review: Properties of Eponents (Allow students to come up with these on their own.) Let a and

More information

3 Polynomial and Rational Functions

3 Polynomial and Rational Functions 3 Polnomial and Rational Functions 3.1 Quadratic Functions and Models 3.2 Polnomial Functions and Their Graphs 3.3 Dividing Polnomials 3.4 Real Zeros of Polnomials 3.5 Comple Zeros and the Fundamental

More information

Algebra(2(Honors( Summer(Packet( ( ( Work(on(this(packet(during(the(summer.( ( ( There(will(be(an(in=class(quiz(on(the(material(the(

Algebra(2(Honors( Summer(Packet( ( ( Work(on(this(packet(during(the(summer.( ( ( There(will(be(an(in=class(quiz(on(the(material(the( Algebra((Honors( Summer(Packet( ( ( Work(on(this(packet(during(the(summer.( ( ( There(will(be(an(in=class(quiz(on(the(material(the( first(week(of(school.( ( ( Please(visit(the(CHS(website(to(view(answers(to(

More information

Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella

Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella 1 Algebra II (Common Core) Summer Assignment Due: September 11, 2017 (First full day of classes) Ms. Vella In this summer assignment, you will be reviewing important topics from Algebra I that are crucial

More information

ACCUPLACER MATH 0311 OR MATH 0120

ACCUPLACER MATH 0311 OR MATH 0120 The University of Teas at El Paso Tutoring and Learning Center ACCUPLACER MATH 0 OR MATH 00 http://www.academics.utep.edu/tlc MATH 0 OR MATH 00 Page Factoring Factoring Eercises 8 Factoring Answer to Eercises

More information

Honors Algebra

Honors Algebra Honors Algebra 08-09 Honors Algebra is a rigorous course that requires the use of Algebra skills. The summer work is designed to maintain and reinforce these prerequisite skills so as to prepare ou for

More information

ALGEBRA 2 HONORS SUMMER WORK. June Dear Algebra 2 Students,

ALGEBRA 2 HONORS SUMMER WORK. June Dear Algebra 2 Students, ALGEBRA HONORS SUMMER WORK June 0 Dear Algebra Students, Attached you will find the Summer Math Packet for Algebra. The purpose of this packet is to review and sharpen your Algebra skills so that when

More information

June Mr. Brown

June Mr. Brown June 06 Hello, future Algebra II students: The packet attached to this letter contains a series of problems that will overview the Algebra I skills you must have mastered in order to have a good start

More information

The letter m is used to denote the slope and we say that m = rise run = change in y change in x = 5 7. change in y change in x = 4 6 =

The letter m is used to denote the slope and we say that m = rise run = change in y change in x = 5 7. change in y change in x = 4 6 = Section 4 3: Slope Introduction We use the term Slope to describe how steep a line is as ou move between an two points on the line. The slope or steepness is a ratio of the vertical change in (rise) compared

More information

Rising 8th Grade Math. Algebra 1 Summer Review Packet

Rising 8th Grade Math. Algebra 1 Summer Review Packet Rising 8th Grade Math Algebra 1 Summer Review Packet 1. Clear parentheses using the distributive property. 2. Combine like terms within each side of the equal sign. Solving Multi-Step Equations 3. Add/subtract

More information

Basic ALGEBRA 2 SUMMER PACKET

Basic ALGEBRA 2 SUMMER PACKET Name Basic ALGEBRA SUMMER PACKET This packet contains Algebra I topics that you have learned before and should be familiar with coming into Algebra II. We will use these concepts on a regular basis throughout

More information

Algebra Review C H A P T E R. To solve an algebraic equation with one variable, find the value of the unknown variable.

Algebra Review C H A P T E R. To solve an algebraic equation with one variable, find the value of the unknown variable. C H A P T E R 6 Algebra Review This chapter reviews key skills and concepts of algebra that you need to know for the SAT. Throughout the chapter are sample questions in the style of SAT questions. Each

More information

a 2 x y 1 y SOL AII.1a

a 2 x y 1 y SOL AII.1a SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas

More information

AP CALCULUS. Summer Assignment. Name:

AP CALCULUS. Summer Assignment. Name: AP CALCULUS Summer Assignment Name: 08/09 North Point High School AP Calculus AB Summer Assignment 08 Congratulations on making it to AP Calculus! In order to complete the curriculum before the AP Eam

More information

Alg2/Trig Summer Assignment 2018

Alg2/Trig Summer Assignment 2018 Alg/Trig Summer Assignment 018 This assignment is for you to practice topics learned in Algebra 1 that will be relevant in the Algebra /Trig curriculum. This review is especially important as you have

More information

Algebra 31 Summer Work Packet Review and Study Guide

Algebra 31 Summer Work Packet Review and Study Guide Algebra Summer Work Packet Review and Study Guide This study guide is designed to accompany the Algebra Summer Work Packet. Its purpose is to offer a review of the ten specific concepts covered in the

More information

(2.5) 1. Solve the following compound inequality and graph the solution set.

(2.5) 1. Solve the following compound inequality and graph the solution set. Intermediate Algebra Practice Final Math 0 (7 th ed.) (Ch. -) (.5). Solve the following compound inequalit and graph the solution set. 0 and and > or or (.7). Solve the following absolute value inequalities.

More information

Solutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1

Solutions to the Math 1051 Sample Final Exam (from Spring 2003) Page 1 Solutions to the Math 0 Sample Final Eam (from Spring 00) Page Part : Multiple Choice Questions. Here ou work out the problems and then select the answer that matches our answer. No partial credit is given

More information

Algebra Concepts Equation Solving Flow Chart Page 1 of 6. How Do I Solve This Equation?

Algebra Concepts Equation Solving Flow Chart Page 1 of 6. How Do I Solve This Equation? Algebra Concepts Equation Solving Flow Chart Page of 6 How Do I Solve This Equation? First, simplify both sides of the equation as much as possible by: combining like terms, removing parentheses using

More information

Review Topics for MATH 1400 Elements of Calculus Table of Contents

Review Topics for MATH 1400 Elements of Calculus Table of Contents Math 1400 - Mano Table of Contents - Review - page 1 of 2 Review Topics for MATH 1400 Elements of Calculus Table of Contents MATH 1400 Elements of Calculus is one of the Marquette Core Courses for Mathematical

More information

Math 121. Practice Questions Chapters 2 and 3 Fall Find the other endpoint of the line segment that has the given endpoint and midpoint.

Math 121. Practice Questions Chapters 2 and 3 Fall Find the other endpoint of the line segment that has the given endpoint and midpoint. Math 11. Practice Questions Chapters and 3 Fall 01 1. Find the other endpoint of the line segment that has the given endpoint and midpoint. Endpoint ( 7, ), Midpoint (, ). Solution: Let (, ) denote the

More information

Algebra 2 Summer Work Packet Review and Study Guide

Algebra 2 Summer Work Packet Review and Study Guide Algebra Summer Work Packet Review and Study Guide This study guide is designed to accompany the Algebra Summer Work Packet. Its purpose is to offer a review of the nine specific concepts covered in the

More information

SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 215

SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 215 SUMMER MATH PACKET ADVANCED ALGEBRA A COURSE 5 Updated May 0 MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The purpose of

More information

Academic Algebra 2. Algebra 1 Review

Academic Algebra 2. Algebra 1 Review Academic Algebra On the following pages you will find a review of the Algebra concepts needed to successfully complete Academic Algebra. Concepts such as fractions, solving equations, inequalities, absolute

More information

Geometry and Honors Geometry Summer Review Packet 2014

Geometry and Honors Geometry Summer Review Packet 2014 Geometr and Honors Geometr Summer Review Packet 04 This will not be graded. It is for our benefit onl. The problems in this packet are designed to help ou review topics from previous mathematics courses

More information

ACCUPLACER MATH 0310

ACCUPLACER MATH 0310 The University of Teas at El Paso Tutoring and Learning Center ACCUPLACER MATH 00 http://www.academics.utep.edu/tlc MATH 00 Page Linear Equations Linear Equations Eercises 5 Linear Equations Answer to

More information

Precalculus Prerequisite Packet Paint Branch High School Math Department. Concepts To Be Assessed on the Precalculus Course Pre-assessment.

Precalculus Prerequisite Packet Paint Branch High School Math Department. Concepts To Be Assessed on the Precalculus Course Pre-assessment. 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

More information

Algebra Summer Review Packet

Algebra 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 information

Systems of Linear Equations: Solving by Graphing

Systems of Linear Equations: Solving by Graphing 8.1 Sstems of Linear Equations: Solving b Graphing 8.1 OBJECTIVE 1. Find the solution(s) for a set of linear equations b graphing NOTE There is no other ordered pair that satisfies both equations. From

More information

Eam Name algebra final eam review147 aam032020181t4highschool www.alvarezmathhelp.com MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the equation.

More information

Topic: Expressions & Operations AII.1

Topic: Expressions & Operations AII.1 Topic: Epressions & Operations AII.1 AII.1 The student will identify field properties, aioms of equality and inequality, and properties of order that are valid for the set of real numbers and its subsets,

More information

Review of Essential Skills and Knowledge

Review of Essential Skills and Knowledge Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope

More information

Cubic and quartic functions

Cubic and quartic functions 3 Cubic and quartic functions 3A Epanding 3B Long division of polnomials 3C Polnomial values 3D The remainder and factor theorems 3E Factorising polnomials 3F Sum and difference of two cubes 3G Solving

More information

20 points Completion 20 points - Accuracy

20 points Completion 20 points - Accuracy Algebra II Final Eam REVIEW 015 Name 0 points Completion 0 points - Accurac The eam review will be graded on completion (0 points) and randoml selected problems answered correctl with accurate work shown

More information

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Summer Review of Algebra. Designed for the Student Entering Accelerated/Honors Analysis

COUNCIL ROCK HIGH SCHOOL MATHEMATICS. A Summer Review of Algebra. Designed for the Student Entering Accelerated/Honors Analysis COUNCIL ROCK HIGH SCHOOL MATHEMATICS A Summer Review of Algebra Designed for the Student Entering Accelerated/Honors Analysis Please print this packet in its entirety to be completed for evaluation on

More information

Summer Packet Honors PreCalculus

Summer Packet Honors PreCalculus Summer Packet Honors PreCalculus Honors Pre-Calculus is a demanding course that relies heavily upon a student s algebra, geometry, and trigonometry skills. You are epected to know these topics before entering

More information

Are You Ready for Algebra 3/Trigonometry? Summer Packet **Required for all Algebra 3/Trig CP and Honors students**

Are You Ready for Algebra 3/Trigonometry? Summer Packet **Required for all Algebra 3/Trig CP and Honors students** Page of Are You Ready for Algebra /Trigonometry? Summer Packet **Required for all Algebra /Trig CP and Honors students** The Algebra /Trigonometry course prepares students for Calculus and college science

More information

AP Calculus AB Summer Assignment Mrs. Berkson

AP Calculus AB Summer Assignment Mrs. Berkson AP Calculus AB Summer Assignment Mrs. Berkson The purpose of the summer assignment is to prepare ou with the necessar Pre- Calculus skills required for AP Calculus AB. Net ear we will be starting off the

More information