Chapter 7: Exponents
|
|
- Isabella Chandler
- 6 years ago
- Views:
Transcription
1 Chapter : Exponents Algebra Chapter Notes Name: Notes #: Sections.. Section.: Review Simplify; leave all answers in positive exponents:.) m -.) y -.) m 0.) -.) -.) - -.) (m ) 0.) 0 x y Evaluate if a = - and b = -: 9.) a b - 0.) ab -.) a - + b -.) (ab) - Section.: Scientific Notation A. Why Scientific Notation? Compare:,000,000 vs. x vs. x 0 - Why do we use scientific notation? When will it be used most often? B. Format for Scientific Notation A number in scientific notation is written as the product of two factors in the form a x 0 n, where n is an integer and a 0 Examples: -. x x 0 GOAL:. x 0 Is each number written in scientific notation? If no, explain..) x 0.) -.90 x 0.) - x 0 0.
2 C. Writing in Standard Notation Converting from Scientific Notation to Standard Notation Algebra Chapter Notes If 0 is to a power, move the decimal that many places to the If 0 is to a power, move the decimal that many places to the Write in standard notation:.). x 0.) -. x 0 -.) 9. x 0 -.) -. x 0 D. Writing in Scientific Notation Converting from Standard Notation to Scientific Notation Place the decimal point so that you have digit to the left of the decimal point. Count the number of places you need to move the decimal to get back to your original number. This number will be the exponent on the 0. If you are moving to the left, this exponent will be If you are moving to the right, this exponent will be Write in scientific notation:.) - 9.),000 0.) 0.00.) -0.0.). x 0.) 0.0 x 0 -.).0 x 0 -.) x 0.) (. x 0 9 ).) (. x 0 ).) 0.(. x 0-9 ) 9.) 0.(. x 0 ) 0.).(. x 0 - ).).(0.0000).).(-. x 0 ).) (,000)()
3 Algebra Chapter Notes Order the numbers from least to greatest:.) 0.0 x 0,. x 0,. x 0 and.) 0. x 0 -, x 0, 0.0 x 0, x 0 - Section. A. Writing Expressions with Exponents Simplify. Express each in exponential form:.) x x x x.).) a a a b b b b.) x x x x.) y y y y.) m m m What pattern did you notice with the exponents? B. Multiplying Monomials Multiplying Monomials When I multiply variable expressions together, I the coefficients AND I the exponents of terms with the same base. Simplify each expression. Leave answers with positive exponents..) (-m - n )(mn ).) (-p q)(-p q - ) 9.) (9x - y z)(-x - yz) 0.) -.) -.) (c )(c - d )(-cd - ) C. Applications to Scientific Notation Multiplying Numbers in Scientific Notation Multiply Coefficients (decimal terms) Add Exponents Check to make sure that the answer is in scientific notation.) (. x 0 )(.0 x 0 ).) (. x 0 - )(.0 x 0 )
4 .) (. x 0 - )(. x 0 - ).) (9. x 0 - )(. x 0 ) Algebra Chapter Notes.) (. x 0 - )(. x 0 - ).) (-. x 0 - )(9. x 0 ) D. Other Applications Complete each equation (fill-in-the-blank with a number).).) 0 9.) x x 9x 0.) x y ( ) x ( ) = y E. Comparing Addition and Multiplication.) (x )(x ) vs. x + x.) (y )(y ) vs. y + y.) (b )(b ) vs. b + b.) (n )(n ) vs. n + n
5 Notes #: Review of Sections.-., Section. Algebra Chapter Notes Review of Sections.-..) Simplify: x -.) Simplify: -.) Evaluate x - if x = -.) Simplify: x x.) Evaluate for a = and b = - a b b 0.) Convert to scientific notation: 0, 000.) Convert to scientific notation: 0.0.) Convert to standard notation:. x 0 9.) Convert to scientific notation: x 0 0.) Simplify: (x y )(-x y ).) Simplify each: (9m )(m ) vs. 9m + m.) Multiply; leave in scientific notation: (-. x 0 - )(. x 0 ) Section. A. Raising a Power to a Power Explore:.) (x ) versus (x )(x ).) (y ) versus (y ) Raising a Power to a Power Raise the coefficient to the power; evaluate the exponents on the variables Simplify; leave in terms of positive exponents:.) (x ).) (m ) (m ).) (g - ) - (g ).) (w - ).) (d ) -.) (x y ) (xy ) 9.) (p - ) (p -0 ) 0.) (.) (.) -
6 Algebra Chapter Notes.) (a b - ) (ab ).) ( ) ( - ).) (x - )(xy ) Complete each equation (fill-in-the-blank with a number).) (m ) = m.) m m = m.) (a b ) = ab B. Applications to Scientific Notation Raise the coefficient to the given power Multiply the exponents Check to make sure that your answer is in scientific notation Simplify. Write each answer in scientific notation.) (. x 0 ).) ( x 0-9 ) - 9.) (- x 0 ) 0.) ( x 0 - ) Simplify. Leave your answer in scientific notation..) (. x 0 )(. x 0 ).) (. x 0 ).) (. x 0 )(. x 0 ).) (. x 0 - ).) (. x 0 ).) (. x 0 )(. x 0 ) Combine like terms:.) m n + n m.) x x + x x 9.) ab ab + ab + ab 0.) j k j k + jk jk.) 9w z w z + w z.) 0x y z x y z + x y z
7 Review Topics:.) Multiply. Leave your answer in scientific notation:. x 0. x 0.) Find f(-) if f(x) = x Algebra Chapter Notes.) Are the lines parallel, perpendicular, or neither? y x x y.) Find the x-intercept and the y-intercept of the line: x y = 0.) Solve: x.) Solve for x and y: x y x y.) Graph the linear inequality: x y 0 y 0 9 x
8 Notes #: Review and Section. Review: Algebra Chapter Notes Combine like terms. Distribute/Multiply first if necessary..) x x x x.) y y y y 9 y.) x(x ) + x( x).) -x (x ) + x( x ).) x(x y) x(y x).) (x ) (x )(x ).) (a )(-a ) + (a )(a ) + (a ) (a ) Review Topics:.) Multiply; leave in scientific notation: (. x 0 )(. x 0 - ) 9.) Evaluate; leave in scientific notation: (. x 0 ) 0.) Simplify: (a b )(-a b -9 ).) Simplify: (w z ) (-wz ).) Simplify: mn m n.) Simplify each: (-b )(b ) vs. -b + b Section.: Division Properties of Exponents A. Dividing Monomials Explore: a.) a.) xy xy.)
9 Algebra Chapter Notes Dividing Monomials **When I divide like numbers or variables, I their exponents.** m a m n a n a Use this property to simplify the expressions. Leave all answers in positive exponents. g x m.).).) g x m.) c d cd 9.) x y z x y z 9.) x y x z z y 0.).) x y z x y z.) m n B. Fractions to Negative Powers Explore: This is the same as:.) Fractions to Negative Powers **When I take a fraction to a negative power, I the fraction over, and raise it to the power. **.) a b.) n b a x n.) w y 9
10 Algebra Chapter Notes C. Applications to Scientific Notation Dividing Numbers in Scientific Notation Divide Coefficients (decimal terms) Subtract Exponents Check to make sure that the answer is in scientific notation.). x 0. x 0.). x 0.0 x 0 9.). x 0.0 x ).9 x 0. x 0.). x 0. x 0 Review Topics:.) Solve for x and y: x y y x.) Solve for x and y: x y x y.) Graph the line: x y = - y 0 9 x ) Find the equation of the line with slope and passing through the point (-, ). Leave your answer in slope intercept form. 0
11 Notes #: Chapter Review Evaluate: Algebra Chapter Notes.).) -.) (-).) -(x) 0.) - -.) xy xy 0.) (-a - b ) (-a b - ).) (t ) 9.) mn mn 0.) (-b c )(-b c)(b c).) (-w - ) - (w ) Write in standard notation:.) -.0 x 0 -.).0 x 0 Write in scientific notation.) 0.00.),900,000.) ( x 0 )(0. x 0 - ).) (.0 x 0 ).). x 0.0 x 0 Simplify: 9.) 0.) x y x z z y
12 Review Topics:.) Divide. Leave your answer in scientific notation:. x 0.0 x 0.) Find h(-) if h(x) = x Algebra Chapter Notes.) Does the system have no solution, one solution, or infinitely many solutions? y x x y.) Simplify: m 0m m 0m.) Find the equation of the line with slope ½ and passing through the point (-, ).) Find the equation of the line passing through the points (, 0) and (, 0)..) Simplify: (x y).) Find g(-) if g(x) = x
13 Algebra Chapter Notes 9.) Find the slope and y-intercept of each line. What can you conclude? 0.) Graph: x y x y x y y ) Find the equation of the line that is parallel to y = -x + and passing through the point (, ).) Find the equation of the line that is perpendicular to y = -x + and passing through the point (, )
14 Algebra Chapter Notes Algebra : Chapter Study Guide Name: For #-, simplify each expression:.) (-) 0.) () -.) - -.) 0.) (m ) 0.) (f) -.) - w x - y -.) ab c For #9-, evaluate each expression for m = - and n = 9.) m - n 0.) - m n -.) m -n For #-, write each number in scientific notation:.) 0.00.) 0,000.) 0.00 For #-, write each number in standard notation:.). x 0 -.). x 0.) x 0 - For #-0, is each number written in scientific notation? If not, convert to scientific notation..) x 0 9.) 0. x 0-0.). x 0 - For #-, rewrite each expression using the base only once.) ( )( )( - ).).) (9.) - (9.)
15 Algebra Chapter Notes For #-, simplify each expression. If applicable, leave your answer in scientific notation..) (bc )(-b c)(b c - ).) (. x 0 )(-. x 0 - ).) (d ) (d ).) (-m - n ).) ( x 0 ) 9.) (-x y ) (-xy ) 0.) mn 9 mn.) xy 9xz z y.) t r.). x 0. x 0.). x 0 x 0.) jk j k For #-9, complete each equation (fill in the blank)..).) x x x.) ab a a b 9.) _
16 Algebra Chapter Notes 0.) Simplify: m m m m.) Simplify: x(xy y ) y x x.) Find the slope of the line passing through the points: (-, ) and (, -).) Find the equation of the line with slope of that passes through the point (9, -). Leave in slope-intercept form..) Graph the line: x y = -.) Solve for x: y 0 9 x ) Solve for x and y: x y x y x.) Solve for x: x.) Find g(-) if g(x) = x 9.) Are the lines parallel, perpendicular, or neither? y x x y 0.) Find the x-intercept and the y-intercept of the line: x y 9
Chapter 7: Exponents
Chapter : Exponents Algebra Chapter Notes Name: Algebra Homework: Chapter (Homework is listed by date assigned; homework is due the following class period) HW# Date In-Class Homework M / Review of Sections.-.
More informationChapter 7: Exponents
Chapter 7: Exponents Algebra 1 Chapter 7 Notes Name: Algebra Homework: Chapter 7 (Homework is listed by date assigned; homework is due the following class period) HW# Date In-Class Homework Section 7.:
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 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 informationSolving Equations Quick Reference
Solving Equations Quick Reference Integer Rules Addition: If the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the numbers and keep the sign of the number
More informationBeginning Algebra. 1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions
1. Review of Pre-Algebra 1.1 Review of Integers 1.2 Review of Fractions Beginning Algebra 1.3 Review of Decimal Numbers and Square Roots 1.4 Review of Percents 1.5 Real Number System 1.6 Translations:
More informationChapter 4: Radicals and Complex Numbers
Chapter : Radicals and Complex Numbers Section.1: A Review of the Properties of Exponents #1-: Simplify the expression. 1) x x ) z z ) a a ) b b ) 6) 7) x x x 8) y y y 9) x x y 10) y 8 b 11) b 7 y 1) y
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 informationAlgebra I - Study Guide for Final
Name: Date: Period: Algebra I - Study Guide for Final Multiple Choice Identify the choice that best completes the statement or answers the question. To truly study for this final, EXPLAIN why the answer
More information2.6 Logarithmic Functions. Inverse Functions. Question: What is the relationship between f(x) = x 2 and g(x) = x?
Inverse Functions Question: What is the relationship between f(x) = x 3 and g(x) = 3 x? Question: What is the relationship between f(x) = x 2 and g(x) = x? Definition (One-to-One Function) A function f
More informationMATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline
MATH 0960 ELEMENTARY ALGEBRA FOR COLLEGE STUDENTS (8 TH EDITION) BY ANGEL & RUNDE Course Outline 1. Real Numbers (33 topics) 1.3 Fractions (pg. 27: 1-75 odd) A. Simplify fractions. B. Change mixed numbers
More informationGraphing Square Roots - Class Work Graph the following equations by hand. State the domain and range of each using interval notation.
Graphing Square Roots - Class Work Graph the following equations by hand. State the domain and range of each using interval notation. 1. y = x + 2 2. f(x) = x 1. y = x +. g(x) = 2 x 1. y = x + 2 + 6. h(x)
More informationAlgebra I+ Pacing Guide. Days Units Notes Chapter 1 ( , )
Algebra I+ Pacing Guide Days Units Notes Chapter 1 (1.1-1.4, 1.6-1.7) Expressions, Equations and Functions Differentiate between and write expressions, equations and inequalities as well as applying order
More information5.1 Monomials. Algebra 2
. Monomials Algebra Goal : A..: Add, subtract, multiply, and simplify polynomials and rational expressions (e.g., multiply (x ) ( x + ); simplify 9x x. x Goal : Write numbers in scientific notation. Scientific
More informationMultiplication of Polynomials
Summary 391 Chapter 5 SUMMARY Section 5.1 A polynomial in x is defined by a finite sum of terms of the form ax n, where a is a real number and n is a whole number. a is the coefficient of the term. n is
More informationSOLUTIONS FOR PROBLEMS 1-30
. Answer: 5 Evaluate x x + 9 for x SOLUTIONS FOR PROBLEMS - 0 When substituting x in x be sure to do the exponent before the multiplication by to get (). + 9 5 + When multiplying ( ) so that ( 7) ( ).
More informationAlgebra I Unit Report Summary
Algebra I Unit Report Summary No. Objective Code NCTM Standards Objective Title Real Numbers and Variables Unit - ( Ascend Default unit) 1. A01_01_01 H-A-B.1 Word Phrases As Algebraic Expressions 2. A01_01_02
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 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 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 informationASSIGNMENT. Please complete only the assignment for the class you will begin in September 2018.
ASSIGNMENT Attached is an assignment containing items necessary for you to have mastered to do well in Algebra II. Please complete only the assignment for the class you will begin in September 2018. Practicing
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 informationCh 7 Summary - POLYNOMIAL FUNCTIONS
Ch 7 Summary - POLYNOMIAL FUNCTIONS 1. An open-top box is to be made by cutting congruent squares of side length x from the corners of a 8.5- by 11-inch sheet of cardboard and bending up the sides. a)
More informationChetek-Weyerhaeuser High School
Chetek-Weyerhaeuser High School Unit 1 Variables and Expressions Math RtI Units and s Math RtI A s 1. I can use mathematical properties to evaluate expressions. I can use mathematical properties to evaluate
More informationLESSON 8.1 RATIONAL EXPRESSIONS I
LESSON 8. RATIONAL EXPRESSIONS I LESSON 8. RATIONAL EXPRESSIONS I 7 OVERVIEW Here is what you'll learn in this lesson: Multiplying and Dividing a. Determining when a rational expression is undefined Almost
More informationAlgebra 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 informationWestside. Algebra 2 PreAP
Westside Algebra 2 PreAP Name Period IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Algebra II with different strengths and needs. For this reason, students have options for
More informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Absolute Value Order of Operations Expression
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 informationWestside Algebra 2 PreAP
Westside Algebra 2 PreAP Name Period IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Algebra II with different strengths and needs. For this reason, students have options for
More informationControlling the Population
Lesson.1 Skills Practice Name Date Controlling the Population Adding and Subtracting Polynomials Vocabulary Match each definition with its corresponding term. 1. polynomial a. a polynomial with only 1
More informationLevel Unit Chapter Lesson ChapterTitle LessonTitle Introduction Introduction How to take the placement tests How to take the
Level Unit Chapter Lesson ChapterTitle LessonTitle 0 0 1 1 Introduction Introduction 0 0 2 1 How to take the placement tests How to take the placement tests 0 0 3 0 Placement Test I 0 0 4 0 Placement Test
More informationAccessible Topic - Topics accessible to visually impaired students using a screen reader.
Course Name: Winter 2018 Math 95 - Course Code: ALEKS Course: Developmental Math Instructor: Course Dates: Begin: 01/07/2018 End: 03/23/2018 Course Content: 390 Topics (172 goal + 218 prerequisite) / 334
More informationRegents Review Session #3 Functions
Regents Review Session #3 Functions A relation is a set of ordered pairs. A function is a relation in which each element of the domain corresponds t exactly one element in the range. (Each x value is paired
More informationBrooklyn College Department of Mathematics. Precalculus. Preparatory Workbook. Spring Sandra Kingan
Brooklyn College Department of Mathematics Precalculus Preparatory Workbook Spring 0 Sandra Kingan Supported by the CUNY Office of Academic Affairs through funding for the Gap Project CONTENTS. Review
More informationSUMMER MATH PACKET ALGEBRA TWO COURSE 229
SUMMER MATH PACKET ALGEBRA TWO COURSE 9 MATH SUMMER PACKET INSTRUCTIONS MATH SUMMER PACKET INSTRUCTIONS Attached you will find a packet of exciting math problems for your enjoyment over the summer. The
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 informationReteach Simplifying Algebraic Expressions
1-4 Simplifying Algebraic Expressions To evaluate an algebraic expression you substitute numbers for variables. Then follow the order of operations. Here is a sentence that can help you remember the order
More informationStudy Guide for Math 095
Study Guide for Math 095 David G. Radcliffe November 7, 1994 1 The Real Number System Writing a fraction in lowest terms. 1. Find the largest number that will divide into both the numerator and the denominator.
More informationGeometry 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 informationa factors The exponential 0 is a special case. If b is any nonzero real number, then
0.1 Exponents The expression x a is an exponential expression with base x and exponent a. If the exponent a is a positive integer, then the expression is simply notation that counts how many times the
More informationAlgebra 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 informationAlgebra I Vocabulary Cards
Algebra I Vocabulary Cards Table of Contents Expressions and Operations Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Order of Operations Expression Variable Coefficient
More informationMA.8.1 Students will apply properties of the real number system to simplify algebraic expressions and solve linear equations.
Focus Statement: Students will solve multi-step linear, quadratic, and compound equations and inequalities using the algebraic properties of the real number system. They will also graph linear and quadratic
More informationCP Algebra 2. Summer Packet. Name:
CP Algebra Summer Packet 018 Name: Objectives for CP Algebra Summer Packet 018 I. Number Sense and Numerical Operations (Problems: 1 to 4) Use the Order of Operations to evaluate expressions. (p. 6) Evaluate
More informationAlgebra I CP Final Exam Review
Class: Date: Algebra I CP Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Identify the graph that displays the height of a ping pong
More informationChapter P. Prerequisites. Slide P- 1. Copyright 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide P- 1 Chapter P Prerequisites 1 P.1 Real Numbers Quick Review 1. List the positive integers between -4 and 4.. List all negative integers greater than -4. 3. Use a calculator to evaluate the expression
More informationModule 1: Whole Numbers Module 2: Fractions Module 3: Decimals and Percent Module 4: Real Numbers and Introduction to Algebra
Course Title: College Preparatory Mathematics I Prerequisite: Placement with a score below 20 on ACT, below 450 on SAT, or assessing into Basic Applied Mathematics or Basic Algebra using Accuplacer, ASSET
More informationAlgebra 2 (3) Apex - Semester 1 Part A
Algebra 2 (3) Apex - Semester 1 Part A Name Algebra I Literacy Advantage Unit 1 : The Need to Read Lesson 1.1 : Reading and Vocabulary Activity 1.1.1 : Study - Active Reading Learn skills and strategies
More informationALGEBRA 2 Summer Review Assignments Graphing
ALGEBRA 2 Summer Review Assignments Graphing To be prepared for algebra two, and all subsequent math courses, you need to be able to accurately and efficiently find the slope of any line, be able to write
More informationSummer 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 informationAlgebra. Practice Pack
Algebra Practice Pack WALCH PUBLISHING Table of Contents Unit 1: Algebra Basics Practice 1 What Are Negative and Positive Numbers?... 1 Practice 2 Larger and Smaller Numbers................ 2 Practice
More informationAlgebra II Vocabulary Word Wall Cards
Algebra II Vocabulary Word Wall Cards Mathematics vocabulary word wall cards provide a display of mathematics content words and associated visual cues to assist in vocabulary development. The cards should
More information1.5 F15 O Brien. 1.5: Linear Equations and Inequalities
1.5: Linear Equations and Inequalities I. Basic Terminology A. An equation is a statement that two expressions are equal. B. To solve an equation means to find all of the values of the variable that make
More informationBishop 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 information1 of 32 4/24/2018, 11:38 AM
1 of 3 4/4/018, 11:38 AM Student: Date: Instructor: Alfredo Alvarez Course: Math 0410 Spring 018 Assignment: Math 0410 Homework149aleks 1 Insert < or > between the pair of integers to make the statement
More informationIntermediate Algebra Study Guide
Chapter 1 Intermediate Algebra Study Guide 1. Simplify the following. (a) ( 6) + ( 4) ( 9) (b) ( 7) ( 6)( )( ) (c) 8 5 9 (d) 6x(xy x ) x (y 6x ) (e) 7x {6 [8 (x ) (6 x)]} (f) Evaluate x y for x =, y =.
More informationHarbor Creek School District. Algebra II Advanced. Concepts Timeframe Skills Assessment Standards Linear Equations Inequalities
Algebra II Advanced and Graphing and Solving Linear Linear Absolute Value Relation vs. Standard Forms of Linear Slope Parallel & Perpendicular Lines Scatterplot & Linear Regression Graphing linear Absolute
More informationWhich one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x ) A) x = 5 B) x = -6 C) x = -5 D) x = 6
Review for Final Exam Math 124A (Flatley) Name Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x - 14 1) A) x = 5 B) x = -6 C) x = -5 D) x = 6 Solve the linear equation.
More informationMath 46 Final Exam Review Packet
Math 46 Final Exam Review Packet Question 1. Perform the indicated operation. Simplify if possible. 7 x x 2 2x + 3 2 x Question 2. The sum of a number and its square is 72. Find the number. Question 3.
More informationUnit 13: Polynomials and Exponents
Section 13.1: Polynomials Section 13.2: Operations on Polynomials Section 13.3: Properties of Exponents Section 13.4: Multiplication of Polynomials Section 13.5: Applications from Geometry Section 13.6:
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 informationDepartment of Mathematics, University of Wisconsin-Madison Math 114 Worksheet Sections 3.1, 3.3, and 3.5
Department of Mathematics, University of Wisconsin-Madison Math 11 Worksheet Sections 3.1, 3.3, and 3.5 1. For f(x) = 5x + (a) Determine the slope and the y-intercept. f(x) = 5x + is of the form y = mx
More informationMath ~ Exam #1 Review Guide* *This is only a guide, for your benefit, and it in no way replaces class notes, homework, or studying
Math 1050 2 ~ Exam #1 Review Guide* *This is only a guide, for your benefit, and it in no way replaces class notes, homework, or studying General Tips for Studying: 1. Review this guide, class notes, the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Algebraic Concepts Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the inequality. ) - - 0x - -x - ) A) x > -0 B) x < -0 C) x 0 D) x
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 informationPennsylvania Algebra I Assessment Anchors and Eligible Content
A Correlation of Algebra 1, 2018 To the Assessment Anchors and Eligible Content Copyright 2017 Pearson Education, Inc. or its affiliate(s). All rights reserved to the MODULE 1 Operations and Linear Equations
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 informationUnit Lesson Topic CCSS
Advanced Algebra Tutorial NEW YORK This map correlates the individual topics of the Advanced Algebra Tutorial to specific Common Core State Standards. For more detailed information about these standard
More informationCommon Core Standards Addressed in this Resource
Common Core Standards Addressed in this Resource.EE.3 - Apply the properties of operations to generate equivalent expressions. Activity page: 4 7.RP.3 - Use proportional relationships to solve multistep
More informationSummer 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 informationChapter 5: Exponents and Polynomials
Chapter 5: Exponents and Polynomials 5.1 Multiplication with Exponents and Scientific Notation 5.2 Division with Exponents 5.3 Operations with Monomials 5.4 Addition and Subtraction of Polynomials 5.5
More informationBeginning Algebra MAT0024C. Professor Sikora. Professor M. J. Sikora ~ Valencia Community College
Beginning Algebra Professor Sikora MAT002C POLYNOMIALS 6.1 Positive Integer Exponents x n = x x x x x [n of these x factors] base exponent Numerical: Ex: - = where as Ex: (-) = Ex: - = and Ex: (-) = Rule:
More informationAlgebra I. Course Outline
Algebra I Course Outline I. The Language of Algebra A. Variables and Expressions B. Order of Operations C. Open Sentences D. Identity and Equality Properties E. The Distributive Property F. Commutative
More informationAlgebra 1 S1 Lesson Summaries. Lesson Goal: Mastery 70% or higher
Algebra 1 S1 Lesson Summaries For every lesson, you need to: Read through the LESSON REVIEW which is located below or on the last page of the lesson and 3-hole punch into your MATH BINDER. Read and work
More informationALGEBRA I CURRICULUM OUTLINE
ALGEBRA I CURRICULUM OUTLINE 2013-2014 OVERVIEW: 1. Operations with Real Numbers 2. Equation Solving 3. Word Problems 4. Inequalities 5. Graphs of Functions 6. Linear Functions 7. Scatterplots and Lines
More informationAlgebra I Review **You may use a calculator throughout the review with the exception of Part A and Part B.
Algebra I Review **You may use a calculator throughout the review with the exception of Part A and Part B. Part A Find the value of each expression below No calculator! 1) ( 7) ) 7 3) 4 1 8 6 3 4 4) 459
More informationNAME DATE PERIOD. A negative exponent is the result of repeated division. Extending the pattern below shows that 4 1 = 1 4 or 1. Example: 6 4 = 1 6 4
Lesson 4.1 Reteach Powers and Exponents A number that is expressed using an exponent is called a power. The base is the number that is multiplied. The exponent tells how many times the base is used as
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 informationx y x y ax bx c x Algebra I Course Standards Gap 1 Gap 2 Comments a. Set up and solve problems following the correct order of operations (including proportions, percent, and absolute value) with rational
More informationIntermediate Algebra with Applications
Lakeshore Technical College 10-804-118 Intermediate Algebra with Applications Course Outcome Summary Course Information Alternate Title Description Total Credits 4 Total Hours 72 Pre/Corequisites Prerequisite
More informationCourse Name: MAT 135 Spring 2017 Master Course Code: N/A. ALEKS Course: Intermediate Algebra Instructor: Master Templates
Course Name: MAT 135 Spring 2017 Master Course Code: N/A ALEKS Course: Intermediate Algebra Instructor: Master Templates Course Dates: Begin: 01/15/2017 End: 05/31/2017 Course Content: 279 Topics (207
More informationExponents. Reteach. Write each expression in exponential form (0.4)
9-1 Exponents You can write a number in exponential form to show repeated multiplication. A number written in exponential form has a base and an exponent. The exponent tells you how many times a number,
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 informationReview for Mastery. Integer Exponents. Zero Exponents Negative Exponents Negative Exponents in the Denominator. Definition.
LESSON 6- Review for Mastery Integer Exponents Remember that means 8. The base is, the exponent is positive. Exponents can also be 0 or negative. Zero Exponents Negative Exponents Negative Exponents in
More informationPacing Guide Algebra 1
Pacing Guide Algebra Chapter : Equations and Inequalities (one variable) Section Section Title Learning Target(s) I can. Evaluate and Simplify Algebraic Expressions. Evaluate and simplify numeric and algebraic
More informationP.1 Prerequisite skills Basic Algebra Skills
P.1 Prerequisite skills Basic Algebra Skills Topics: Evaluate an algebraic expression for given values of variables Combine like terms/simplify algebraic expressions Solve equations for a specified variable
More informationThe P/Q Mathematics Study Guide
The P/Q Mathematics Study Guide Copyright 007 by Lawrence Perez and Patrick Quigley All Rights Reserved Table of Contents Ch. Numerical Operations - Integers... - Fractions... - Proportion and Percent...
More informationAlgebra 2 Prep. Name Period
Algebra 2 Prep Name Period IMPORTANT INSTRUCTIONS FOR STUDENTS!!! We understand that students come to Algebra II with different strengths and needs. For this reason, students have options for completing
More information27 Wyner Math 2 Spring 2019
27 Wyner Math 2 Spring 2019 CHAPTER SIX: POLYNOMIALS Review January 25 Test February 8 Thorough understanding and fluency of the concepts and methods in this chapter is a cornerstone to success in the
More informationModule 2 Study Guide. The second module covers the following sections of the textbook: , 4.1, 4.2, 4.5, and
Module 2 Study Guide The second module covers the following sections of the textbook: 3.3-3.7, 4.1, 4.2, 4.5, and 5.1-5.3 Sections 3.3-3.6 This is a continuation of the study of linear functions that we
More informationOcean Township High School Mathematics Department
Algebra Summer Assignment Name Period Date Ocean Township High School Mathematics Department These are important topics from Algebra 1 that you must be comfortable doing before you can be successful in
More informationRising 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 informationDaily Skill Builders:
Daily Skill Builders: Pre-Algebra By WENDI SILVANO COPYRIGHT 2008 Mark Twain Media, Inc. ISBN 978-1-58037-445-3 Printing No. CD-404086 Mark Twain Media, Inc., Publishers Distributed by Carson-Dellosa Publishing
More informationMAFS Algebra 1. Polynomials. Day 15 - Student Packet
MAFS Algebra 1 Polynomials Day 15 - Student Packet Day 15: Polynomials MAFS.91.A-SSE.1., MAFS.91.A-SSE..3a,b, MAFS.91.A-APR..3, MAFS.91.F-IF.3.7c I CAN rewrite algebraic expressions in different equivalent
More informationChapter R - Review of Basic Algebraic Concepts (26 topics, no due date)
Course Name: Math 00023 Course Code: N/A ALEKS Course: Intermediate Algebra Instructor: Master Templates Course Dates: Begin: 08/15/2014 End: 08/15/2015 Course Content: 245 topics Textbook: Miller/O'Neill/Hyde:
More informationIntroduction. Adding and Subtracting Polynomials
Introduction Polynomials can be added and subtracted like real numbers. Adding and subtracting polynomials is a way to simplify expressions. It can also allow us to find a shorter way to represent a sum
More informationUnit 2, Ongoing Activity, Little Black Book of Algebra II Properties
Unit 2, Ongoing Activity, Little Black Book of Algebra II Properties Little Black Book of Algebra II Properties Unit 2 - Polynomial Equations & Inequalities 2.1 Laws of Exponents - record the rules for
More informationSolutions Key Exponents and Polynomials
CHAPTER 7 Solutions Key Exponents and Polynomials ARE YOU READY? PAGE 57. F. B. C. D 5. E 6. 7 7. 5 8. (-0 9. x 0. k 5. 9.. - -( - 5. 5. 5 6. 7. (- 6 (-(-(-(-(-(- 8 5 5 5 5 6 8. 0.06 9.,55 0. 5.6. 6 +
More information