x y = 2 x + 2y = 14 x = 2, y = 0 x = 3, y = 1 x = 4, y = 2 x = 5, y = 3 x = 6, y = 4 x = 7, y = 5 x = 0, y = 7 x = 2, y = 6 x = 4, y = 5

6-3 Solving Systems by Elimination

Another method for solving systems of equations is elimination. Like substitution, the goal of elimination is to get one equation that has only one variable. To do this by elimination, you add the two

Graphing Linear Systems

Graphing Linear Systems Goal Estimate the solution of a system of linear equations by graphing. VOCABULARY System of linear equations A system of linear equations is two or more linear equations in the

2x + 5 = x = x = 4

98 CHAPTER 3 Algebra Textbook Reference Section 5.1 3.3 LINEAR EQUATIONS AND INEQUALITIES Student CD Section.5 CLAST OBJECTIVES Solve linear equations and inequalities Solve a system of two linear equations

A linear equation in two variables is generally written as follows equation in three variables can be written as

System of Equations A system of equations is a set of equations considered simultaneously. In this course, we will discuss systems of equation in two or three variables either linear or quadratic or a

A constant is a value that is always the same. (This means that the value is constant / unchanging). o

Math 8 Unit 7 Algebra and Graphing Relations Solving Equations Using Models We will be using algebra tiles to help us solve equations. We will practice showing work appropriately symbolically and pictorially

Chapters 4/5 Class Notes. Intermediate Algebra, MAT1033C. SI Leader Joe Brownlee. Palm Beach State College

Chapters 4/5 Class Notes Intermediate Algebra, MAT1033C Palm Beach State College Class Notes 4.1 Professor Burkett 4.1 Systems of Linear Equations in Two Variables A system of equations is a set of two

Unit 4 Systems of Equations Systems of Two Linear Equations in Two Variables

Unit 4 Systems of Equations Systems of Two Linear Equations in Two Variables Solve Systems of Linear Equations by Graphing Solve Systems of Linear Equations by the Substitution Method Solve Systems of

Definition: A "system" of equations is a set or collection of equations that you deal with all together at once.

System of Equations Definition: A "system" of equations is a set or collection of equations that you deal with all together at once. There is both an x and y value that needs to be solved for Systems

A. Incorrect! Replacing is not a method for solving systems of equations.

ACT Math and Science - Problem Drill 20: Systems of Equations No. 1 of 10 1. What methods were presented to solve systems of equations? (A) Graphing, replacing, and substitution. (B) Solving, replacing,

5 Systems of Equations

Systems of Equations Concepts: Solutions to Systems of Equations-Graphically and Algebraically Solving Systems - Substitution Method Solving Systems - Elimination Method Using -Dimensional Graphs to Approximate

A quadratic expression is a mathematical expression that can be written in the form 2

118 CHAPTER Algebra.6 FACTORING AND THE QUADRATIC EQUATION Textbook Reference Section 5. CLAST OBJECTIVES Factor a quadratic expression Find the roots of a quadratic equation A quadratic expression is

Supplemental Worksheet Problems To Accompany: The Algebra 2 Tutor Section 8 Solving Systems of Equations in Three Variables

Supplemental Worksheet Problems To Accompany: The Algebra 2 Tutor Please watch Section 8 of this DVD before working these problems. The DVD is located at: http://www.mathtutordvd.com/products/item9.cfm

UNIT 3 REASONING WITH EQUATIONS Lesson 2: Solving Systems of Equations Instruction

Prerequisite Skills This lesson requires the use of the following skills: graphing equations of lines using properties of equality to solve equations Introduction Two equations that are solved together

6.6 General Form of the Equation for a Linear Relation

6.6 General Form of the Equation for a Linear Relation FOCUS Relate the graph of a line to its equation in general form. We can write an equation in different forms. y 0 6 5 y 10 = 0 An equation for this

Chapter 6. Systems of Equations and Inequalities

Chapter 6 Systems of Equations and Inequalities 6.1 Solve Linear Systems by Graphing I can graph and solve systems of linear equations. CC.9-12.A.CED.2, CC.9-12.A.CED.3, CC.9-12.A.REI.6 What is a system

Exponents. 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,

Solving Systems of Linear Equations

Section 2.3 Solving Systems of Linear Equations TERMINOLOGY 2.3 Previously Used: Equivalent Equations Literal Equation Properties of Equations Substitution Principle Prerequisite Terms: Coordinate Axes

Edexcel New GCE A Level Maths workbook Solving Linear and Quadratic Simultaneous Equations.

Edexcel New GCE A Level Maths workbook Solving Linear and Quadratic Simultaneous Equations. Edited by: K V Kumaran kumarmaths.weebly.com 1 Solving linear simultaneous equations using the elimination method

Section 1.4. Meaning of Slope for Equations, Graphs, and Tables

Section 1.4 Meaning of Slope for Equations, Graphs, and Tables Finding Slope from a Linear Equation Finding Slope from a Linear Equation Example Find the slope of the line Solution Create a table using

Factorizing Algebraic Expressions

1 of 60 Factorizing Algebraic Expressions 2 of 60 Factorizing expressions Factorizing an expression is the opposite of expanding it. Expanding or multiplying out a(b + c) ab + ac Factorizing Often: When

Algebra Revision Guide

Algebra Revision Guide Stage 4 S J Cooper 1st Edition Collection of like terms... Solving simple equations... Factorisation... 6 Inequalities... 7 Graphs... 9 1. The straight line... 9. The quadratic curve...

Chapter 2 Linear Equations and Inequalities in One Variable

Chapter 2 Linear Equations and Inequalities in One Variable Section 2.1: Linear Equations in One Variable Section 2.3: Solving Formulas Section 2.5: Linear Inequalities in One Variable Section 2.6: Compound

Mathematics Revision Guide. Algebra. Grade C B

Mathematics Revision Guide Algebra Grade C B 1 y 5 x y 4 = y 9 Add powers a 3 a 4.. (1) y 10 y 7 = y 3 (y 5 ) 3 = y 15 Subtract powers Multiply powers x 4 x 9...(1) (q 3 ) 4...(1) Keep numbers without

Solving Systems of Equations

Solving Systems of Equations Solving Systems of Equations What are systems of equations? Two or more equations that have the same variable(s) Solving Systems of Equations There are three ways to solve

MATCHING. Match the correct vocabulary word with its definition

Name Algebra I Block UNIT 2 STUDY GUIDE Ms. Metzger MATCHING. Match the correct vocabulary word with its definition 1. Whole Numbers 2. Integers A. A value for a variable that makes an equation true B.

Basic Principles of Algebra

Basic Principles of Algebra Algebra is the part of mathematics dealing with discovering unknown numbers in an equation. It involves the use of different types of numbers: natural (1, 2, 100, 763 etc.),

SNAP Centre Workshop. Solving Systems of Equations

SNAP Centre Workshop Solving Systems of Equations 35 Introduction When presented with an equation containing one variable, finding a solution is usually done using basic algebraic manipulation. Example

Intermediate Algebra Summary - Part I

Intermediate Algebra Summary - Part I This is an overview of the key ideas we have discussed during the first part of this course. You may find this summary useful as a study aid, but remember that the

Introduction to systems of equations

Introduction to systems of equations A system of equations is a collection of two or more equations that contains the same variables. This is a system of two equations with two variables: In solving a

Supplemental Worksheet Problems To Accompany: The Algebra 2 Tutor Section 13 Fractional Exponents

Section Fractional Eponents Supplemental Worksheet Problems To Accompany: The Algebra 2 Tutor Section Fractional Eponents Please watch Section of this DVD before working these problems. The DVD is located

Put the following equations to slope-intercept form then use 2 points to graph

Tuesday September 23, 2014 Warm-up: Put the following equations to slope-intercept form then use 2 points to graph 1. 4x - 3y = 8 8 x 6y = 16 2. 2x + y = 4 2x + y = 1 Tuesday September 23, 2014 Warm-up:

Intermediate Tier - Algebra revision

Intermediate Tier - Algebra revision Contents : Collecting like terms Multiplying terms together Indices Expanding single brackets Expanding double brackets Substitution Solving equations Finding nth term

Algebra I Chapter 6: Solving and Graphing Linear Inequalities

Algebra I Chapter 6: Solving and Graphing Linear Inequalities Jun 10 9:21 AM Chapter 6 Lesson 1 Solve Inequalities Using Addition and Subtraction Vocabulary Words to Review: Inequality Solution of an Inequality

A2 HW Imaginary Numbers

Name: A2 HW Imaginary Numbers Rewrite the following in terms of i and in simplest form: 1) 100 2) 289 3) 15 4) 4 81 5) 5 12 6) -8 72 Rewrite the following as a radical: 7) 12i 8) 20i Solve for x in simplest

Objective. The student will be able to: solve systems of equations using elimination with multiplication. SOL: A.9

Objective The student will be able to: solve systems of equations using elimination with multiplication. SOL: A.9 Designed by Skip Tyler, Varina High School Solving Systems of Equations So far, we have

Linear Equations in Linear Algebra

1 Linear Equations in Linear Algebra 1.1 SYSTEMS OF LINEAR EQUATIONS LINEAR EQUATION,, 1 n A linear equation in the variables equation that can be written in the form a a a b 1 1 2 2 n n a a is an where

One Solution Two Solutions Three Solutions Four Solutions. Since both equations equal y we can set them equal Combine like terms Factor Solve for x

Algebra Notes Quadratic Systems Name: Block: Date: Last class we discussed linear systems. The only possibilities we had we 1 solution, no solution or infinite solutions. With quadratic systems we have

(+2) + (+7) = (+9)? ( 3) + ( 4) = ( 7)? (+2) + ( 7) = ( 5)? (+9) + ( 4) = (+5)? (+2) (+7) = ( 5)? ( 3) ( 4) = (+1)?

L1 Integer Addition and Subtraction Review.notebook L1 Adding and Subtracting Integer Review In grade 7 we developed rules for adding and subtracting integers... Do we remember the process for adding and

Lesson 28: Another Computational Method of Solving a Linear System

Lesson 28: Another Computational Method of Solving a Linear System Student Outcomes Students learn the elimination method for solving a system of linear equations. Students use properties of rational numbers

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

8-5. A rational inequality is an inequality that contains one or more rational expressions. x x 6. 3 by using a graph and a table.

A rational inequality is an inequality that contains one or more rational expressions. x x 3 by using a graph and a table. Use a graph. On a graphing calculator, Y1 = x and Y = 3. x The graph of Y1 is

Chapter 2 (Operations with Integers) Bringing It All Together #1

Chapter 2 (Operations with Integers) Bringing It All Together #1 Vocabulary Check Define the following vocabulary words: 1) Absolute Value: 2) Quadrant: State whether the statement is true or false. If

1. Definition of a Polynomial

1. Definition of a Polynomial What is a polynomial? A polynomial P(x) is an algebraic expression of the form Degree P(x) = a n x n + a n 1 x n 1 + a n 2 x n 2 + + a 3 x 3 + a 2 x 2 + a 1 x + a 0 Leading

Systems of Equations - Addition/Elimination

4.3 Systems of Equations - Addition/Elimination When solving systems we have found that graphing is very limited when solving equations. We then considered a second method known as substituion. This is

Answers to the problems will be posted on the school website, go to Academics tab, then select Mathematics and select Summer Packets.

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

2-7 Solving Absolute-Value Inequalities

Warm Up Solve each inequality and graph the solution. 1. x + 7 < 4 2. 14x 28 3. 5 + 2x > 1 When an inequality contains an absolute-value expression, it can be written as a compound inequality. The inequality

Section 6.6 Evaluating Polynomial Functions

Name: Period: Section 6.6 Evaluating Polynomial Functions Objective(s): Use synthetic substitution to evaluate polynomials. Essential Question: Homework: Assignment 6.6. #1 5 in the homework packet. Notes:

form and solve simultaneous equations

form and solve simultaneous equations Skills that will help you to understand, work with and solve formulae and equations include the four rules of number (including working with very large and very small

3.1 Inequalities - Graphing and Solving

3.1 Inequalities - Graphing and Solving When we have an equation such as x = 4 we have a specific value for our variable. With inequalities we will give a range of values for our variable. To do this we

1.7 Inequalities. Copyright Cengage Learning. All rights reserved.

1.7 Inequalities Copyright Cengage Learning. All rights reserved. Objectives Solving Linear Inequalities Solving Nonlinear Inequalities Absolute Value Inequalities Modeling with Inequalities 2 Inequalities

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

3.5 Solving Equations Involving Integers II

208 CHAPTER 3. THE FUNDAMENTALS OF ALGEBRA 3.5 Solving Equations Involving Integers II We return to solving equations involving integers, only this time the equations will be a bit more advanced, requiring

Appendix: Synthetic Division

Appendix: Synthetic Division AP Learning Objectives In this section, we will learn how to: 1. Divide polynomials using synthetic division. Synthetic division is a short form of long division with polynomials.

Properties of Real Numbers

Properties of Real Numbers Essential Understanding. Relationships that are always true for real numbers are called properties, which are rules used to rewrite and compare expressions. Two algebraic expressions

CHAPTER 8A- RATIONAL FUNCTIONS AND RADICAL FUNCTIONS Section Multiplying and Dividing Rational Expressions

Name Objectives: Period CHAPTER 8A- RATIONAL FUNCTIONS AND RADICAL FUNCTIONS Section 8.3 - Multiplying and Dividing Rational Expressions Multiply and divide rational expressions. Simplify rational expressions,

UNIT 4: RATIONAL AND RADICAL EXPRESSIONS. 4.1 Product Rule. Objective. Vocabulary. o Scientific Notation. o Base

UNIT 4: RATIONAL AND RADICAL EXPRESSIONS M1 5.8, M2 10.1-4, M3 5.4-5, 6.5,8 4.1 Product Rule Objective I will be able to multiply powers when they have the same base, including simplifying algebraic expressions

Reteach 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

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

Lesson 28: A Focus on Square Roots

now Lesson 28: A Focus on Square Roots Student Outcomes Students solve simple radical equations and understand the possibility of extraneous solutions. They understand that care must be taken with the

Honours Advanced Algebra Unit 2: Polynomial Functions Factors, Zeros, and Roots: Oh My! Learning Task (Task 5) Date: Period:

Honours Advanced Algebra Name: Unit : Polynomial Functions Factors, Zeros, and Roots: Oh My! Learning Task (Task 5) Date: Period: Mathematical Goals Know and apply the Remainder Theorem Know and apply

2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY

2017 SUMMER REVIEW FOR STUDENTS ENTERING GEOMETRY The following are topics that you will use in Geometry and should be retained throughout the summer. Please use this practice to review the topics you

Section 1.1: Patterns in Division

Section 1.1: Patterns in Division Dividing by 2 All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8. Dividing by 4 1. Are the last two digits in your number divisible by 4? 2.

Earthquake Model Investigations

Earthquake Model Investigations Name Part 1 Pre Lab Worksheet Watch as your teacher demonstrates how the Earthquake model works. In this pre lab, you will predict what you think will be the relationship

Day 3: Section P-6 Rational Expressions; Section P-7 Equations. Rational Expressions

1 Day : Section P-6 Rational Epressions; Section P-7 Equations Rational Epressions A rational epression (Fractions) is the quotient of two polynomials. The set of real numbers for which an algebraic epression

Pre-Algebra Unit 2. Rational & Irrational Numbers. Name

Pre-Algebra Unit 2 Rational & Irrational Numbers Name Core Table 2 Pre-Algebra Name: Unit 2 Rational & Irrational Numbers Core: Table: 2.1.1 Define Rational Numbers Vocabulary: Real Numbers the set of

24 = 5x. 4.8 = x. December 13, 2017

Learning Target Extend learning about solving equations with integer coefficients to equations that involve fractions and decimals. Learn how to change fractional and decimal coefficients and constants

Graphing Linear Inequalities

Graphing Linear Inequalities Linear Inequalities in Two Variables: A linear inequality in two variables is an inequality that can be written in the general form Ax + By < C, where A, B, and C are real

Self-Directed Course: Transitional Math Module 4: Algebra

Lesson #1: Solving for the Unknown with no Coefficients During this unit, we will be dealing with several terms: Variable a letter that is used to represent an unknown number Coefficient a number placed

4.3 Row operations. As we have seen in Section 4.1 we can simplify a system of equations by either:

4.3 Row operations As we have seen in Section 4.1 we can simplify a system of equations by either: 1. Swapping the order of the equations around. For example: can become 3x 1 + 7x 2 = 9 x 1 2x 1 = 2 x

Now, add the (modified) first equation and the second equation: -7x + 35y = x - 35y = = 0

1. Solve the system of equations. I m going to use elimination, by multiplying the first equation by 7: 7(-x + 5y = 2) -7x + 35y = 14 D Now, add the (modified) first equation and the second equation: -7x

Math 1 Variable Manipulation Part 5 Absolute Value & Inequalities

Math 1 Variable Manipulation Part 5 Absolute Value & Inequalities 1 ABSOLUTE VALUE REVIEW Absolute value is a measure of distance; how far a number is from zero: 6 is 6 away from zero, and " 6" is also

Chapter 7: Exponents

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 =

Labeling Assignments

Labeling Assignments Title Heading 8.4: Graphing and Solving Linear Inequalities Last, First Date Period 8.4: Graphing and Solving Linear Inequalities 8EE: Standard 8. Analyze and solve pairs of simultaneous

Chapter 5 Simplifying Formulas and Solving Equations

Chapter 5 Simplifying Formulas and Solving Equations Look at the geometry formula for Perimeter of a rectangle P = L W L W. Can this formula be written in a simpler way? If it is true, that we can simplify

Chapter 5 Simplifying Formulas and Solving Equations

Chapter 5 Simplifying Formulas and Solving Equations Look at the geometry formula for Perimeter of a rectangle P = L + W + L + W. Can this formula be written in a simpler way? If it is true, that we can

Pair of Linear Equations in Two Variables

Pair of Linear Equations in Two Variables Linear equation in two variables x and y is of the form ax + by + c= 0, where a, b, and c are real numbers, such that both a and b are not zero. Example: 6x +

HW#2: Quads 7 #1 6. How do you find the answer to a Quadratic Inequality? 02Quad7 SolvingQuadraticInequalities Notes.notebook.

Quadratics 7 Solving Quadratic Inequalities Standards: A REI.7, A REI.11, F IF.7a GLO: #3 Complex Thinker Math Practice: Reason abstractly & Quantitatively Learning Targets: How do you write inequality

20A. Build. Build and add. Build a rectangle and find the area (product). l e s s o n p r a c t i c e 1. X X X 2 + 6X X

l e s s o n p r a c t i c e 0A Build.. X X. X 6X 8 3. X 8 Build and add. 4. X 6X 3 3X 7X 9 5. X 8 X 6X 7 6. X 0X 7 X 8X 9 Build a rectangle and find the area (product). 7. (X )(X ) = 8. (X 4)(X 3) = 9.

DIRECTED NUMBERS ADDING AND SUBTRACTING DIRECTED NUMBERS

DIRECTED NUMBERS POSITIVE NUMBERS These are numbers such as: 3 which can be written as +3 46 which can be written as +46 14.67 which can be written as +14.67 a which can be written as +a RULE Any number

1.5 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

Sect Addition, Subtraction, Multiplication, and Division Properties of Equality

Sect.1 - Addition, Subtraction, Multiplication, and Division Properties of Equality Concept #1 Definition of a Linear Equation in One Variable An equation is a statement that two quantities are equal.

Summer 2017 Math Packet

Summer 017 Math Packet for Rising Geometry Students This packet is designed to help you review your Algebra Skills and help you prepare for your Geometry class. Your Geometry teacher will expect you to

Chapter 1A -- Real Numbers. iff. Math Symbols: Sets of Numbers

Fry Texas A&M University! Fall 2016! Math 150 Notes! Section 1A! Page 1 Chapter 1A -- Real Numbers Math Symbols: iff or Example: Let A = {2, 4, 6, 8, 10, 12, 14, 16,...} and let B = {3, 6, 9, 12, 15, 18,

Section 20: Arrow Diagrams on the Integers

Section 0: Arrow Diagrams on the Integers Most of the material we have discussed so far concerns the idea and representations of functions. A function is a relationship between a set of inputs (the leave

Order of Operations. Real numbers

Order of Operations When simplifying algebraic expressions we use the following order: 1. Perform operations within a parenthesis. 2. Evaluate exponents. 3. Multiply and divide from left to right. 4. Add

Pre Algebra, Unit 1: Variables, Expression, and Integers

Syllabus Objectives (1.1) Students will evaluate variable and numerical expressions using the order of operations. (1.2) Students will compare integers. (1.3) Students will order integers (1.4) Students

H-A2T THE INTEGERS UNIT 1 POLYNOMIALS AND THE NUMBER LINE (DAY 1)

H-AT THE INTEGERS UNIT POLYNOMIALS AND THE NUMBER LINE (DAY ) Warm-Up: Find the solution set of the following inequality: 0 5 < 40 INEQUALITY SOLUTION SETS Solve the inequality equation Graph the solution

Simultaneous Equations

Simultaneous Equations What are they? Consider the following: At the cinema, 2 adult tickets and 3 child tickets cost 17. Let the cost of the adult ticket = x Let the cost of the child ticket = y We can

Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 2 Section 16 Solving Single Step Equations

Supplemental Worksheet Problems To Accompany: The Pre-Algebra Tutor: Volume 2 Please watch Section 16 of this DVD before working these problems. The DVD is located at: http://www.mathtutordvd.com/products/item67.cfm

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

5.1 Polynomial Functions

5.1 Polynomial Functions In this section, we will study the following topics: Identifying polynomial functions and their degree Determining end behavior of polynomial graphs Finding real zeros of polynomial

Linear Equations in Linear Algebra

1 Linear Equations in Linear Algebra 1.1 SYSTEMS OF LINEAR EQUATIONS LINEAR EQUATION x 1,, x n A linear equation in the variables equation that can be written in the form a 1 x 1 + a 2 x 2 + + a n x n

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER / Lines and Their Equations

ACCESS TO SCIENCE, ENGINEERING AND AGRICULTURE: MATHEMATICS 1 MATH00030 SEMESTER 1 017/018 DR. ANTHONY BROWN. Lines and Their Equations.1. Slope of a Line and its y-intercept. In Euclidean geometry (where

Lesson 5b Solving Quadratic Equations

Lesson 5b Solving Quadratic Equations In this lesson, we will continue our work with Quadratics in this lesson and will learn several methods for solving quadratic equations. The first section will introduce

Twitter: @Owen134866 www.mathsfreeresourcelibrary.com Prior Knowledge Check 1) Factorise each polynomial: a) x 2 6x + 5 b) x 2 16 c) 9x 2 25 2) Simplify the following algebraic fractions fully: a) x 2

6.5 Trigonometric Equations

6. Trigonometric Equations In this section, we discuss conditional trigonometric equations, that is, equations involving trigonometric functions that are satisfied only by some values of the variable (or

Mathematics (MEI) Advanced Subsidiary GCE Core 1 (4751) June 2010

Link to past paper on OCR website: www.ocr.org.uk The above link takes you to OCR s website. From there you click QUALIFICATIONS, QUALIFICATIONS BY TYPE, AS/A LEVEL GCE, MATHEMATICS (MEI), VIEW ALL DOCUMENTS,

10x y 7x y ELEMENTARY ALGEBRA. then x = GO ON TO THE NEXT PAGE. 1 16a is. 5. If 15 4y = 12, then y = 1. 3 x (A) (A) (D) 3x (B) (C) (D) (C) (D)

ELEMENTARY ALGEBRA This practice test measures our abilit to perform basic algebraic operations and to solve problems that involve elementar algebraic concepts. Directions: Solve each of the following

Numerical Methods. Equations and Partial Fractions. Jaesung Lee

Numerical Methods Equations and Partial Fractions Jaesung Lee Solving linear equations Solving linear equations Introduction Many problems in engineering reduce to the solution of an equation or a set

Math Studio College Algebra

Math 100 - Studio College Algebra Rekha Natarajan Kansas State University November 19, 2014 Systems of Equations Systems of Equations A system of equations consists of Systems of Equations A system of