M practice SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
|
|
- Eustacia Johnston
- 5 years ago
- Views:
Transcription
1 M practice SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the sstem b substitution. 1) - 2 = = -22 1) 2) 4-5 = = 75 2) Solve the sstem b elimination. 3) + 3 = = -16 3) 4) = = 22 4) 1
2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Draw a sketch of the two graphs described, with the indicated number of points of intersection. 5) A parabola and a circle; three points 5) A) B) C) D) 2
3 6) A parabola and a hperbola; four points 6) A) B) C) D) 3
4 7) An ellipse and a hperbola; four points 7) A) B) C) D) 4
5 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the sstem graphicall. Do not use a calculator. 8) - = = -4 8) 9) = 5 - = -1 9) Solve the nonlinear sstem of equations. 10) = 61 - = 1 10) 11) 2-2 = 39 - = 3 11) Solve the problem. Round to an appropriate number of significant digits. 12) A contractor mies concrete from bags of pre-mi for small jobs. How man bags with 4% cement should he mi with 6 bags of 7% cement to produce a mi containing 5% cement? 12) 5
6 13) A theatre sells two tpes of tickets to their plas; children's tickets and adult tickets. For toda's performance the have sold a total of 1035 tickets. Also, the have sold 4 times as man children's tickets as adult tickets. How man children's tickets have the sold? 13) Solve the problem. 14) A rectangular plot has area 126 d 2 with a perimeter of 46 d. What is the length of the longest side? 14) 15) Bob fenced in a rectangular garden in his ard. The length of the rectangle is 4 feet longer than the width and the perimeter is 56 feet. What is the width of the rectangle? 15) Use the substitution-of-variable technique to solve the sstem analticall. 16) = ) -8-2 = ) = ) 8-7 = 41 6 Answer the question. 18) When using the substitution or elimination method to solve a sstem of two equations, ou end up with an equation stating 0 = 7. What does this indicate to ou about the sstem of equations? 18) 19) If the graphs of a sstem of two equations are a line and a parabola, what are the possible numbers of solutions (with real coordinates) of this sstem? 19) 20) If the graphs of a sstem of two equations are a circle and a parabola, what are the possible numbers of solutions (with real coordinates) of this sstem? 20) Solve the sstem analticall. 21) - + 2z = z = z = 1 21) 22) - + z = z = z = -6 22) 23) z = z = z = 3 23) 6
7 Solve the sstem in terms of the arbitrar variable listed. 24) ; z = z = -8 24) 25) ; z = z = 1 25) 26) ; + - 2z = z = ) Solve the problem. 27) A $64,000 trust is to be invested in bonds paing 8%, CDs paing 6%, and mortgages paing 10%. The bond and CD investment together must equal the mortgage investment. To earn a $5520 annual income from the investments, how much should the bank invest in bonds? 27) Use a sstem of equations to solve problem. 28) Find the equation of the parabola = a 2 + b +c that passes through the points (-2, 0), (0, -6), and (3, 2). 28) 29) Suppose that the position of a particle moving along a straight line is given b s(t) = at 2 + bt + c, where t is time in seconds and a, b, and c are real numbers. If s(0) = -2, s(1) = -2, and s(2) = -10, find a, b, and c. Then find s(10). 29) Write the augmented matri for the sstem. 30) = 39 7 = 14 30) 31) z = z = z = 50 31) Write the sstem of equations associated with the augmented matri. Do not solve. 32) ) 7
8 The augmented matri is in row-echelon form and represents a sstem of linear equations. Solve the sstem using back-substitution. 33) ) ) ) Solve the sstem. 35) = 19 5 = ) 36) z = z = z = ) Solve the problem. 37) A chemist has prepared two acid solutions, one of which is 4% acid b volume, another 11% acid. How man cubic centimeters of each should the chemist mi together to obtain 50 cm 3 of 6.66% solution? 38) John has a jarful of quarters and nickels. There are 108 coins in the jar. The value of the coins is $ How man of each tpe of coin are there? 37) 38) 39) Anne and Nanc use a metal allo that is 26.6% copper to make jewelr. How man ounces of a 25% allo must be mied with a 29% allo to form 70 ounces of the desired allo? 39) Provide an appropriate response. 40) Suppose that ou are solving a sstem of three linear equations b the row echelon method and obtain the following augmented matri. 40) What conclusion can ou draw about the solutions of the sstem? 8
Math098 Practice Final Test
Math098 Practice Final Test Find an equation of the line that contains the points listed in the table. 1) 0-6 1-2 -4 3-3 4-2 Find an equation of the line. 2) 10-10 - 10 - -10 Solve. 3) 2 = 3 + 4 Find the
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
0 Final Practice Disclaimer: The actual eam differs. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Epress the number in scientific notation. 1) 0.000001517
More information10.3 Solving Nonlinear Systems of Equations
60 CHAPTER 0 Conic Sections Identif whether each equation, when graphed, will be a parabola, circle, ellipse, or hperbola. Then graph each equation.. - 7 + - =. = +. = + + 6. + 9 =. 9-9 = 6. 6 - = 7. 6
More information[B] 2. Which of these numbers is a solution for 12 x 7? [A] 5 [B] 1 [C] 2 [D] 3
. Which graph shows the solution of + 7? 9 6 0 6 9 9 6 0 6 9 9 6 0 6 9 9 6 0 6 9. Which of these numbers is a solution for 7? 5. Which graph shows the solution to +
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1 Final Eam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve. 1) - - 6 = - + 7 1) ) 6 + 7(- - ) = -8 - ) ) - t + t = 6 t + 1 ) Solve
More informationMATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER 4. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The sum of two numbers is 3. Three
More informationMATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER 4. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 830/GRACEY EXAM 3 PRACTICE/CHAPTER Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether or not the ordered pair is a solution
More information10.4 Nonlinear Inequalities and Systems of Inequalities. OBJECTIVES 1 Graph a Nonlinear Inequality. 2 Graph a System of Nonlinear Inequalities.
Section 0. Nonlinear Inequalities and Sstems of Inequalities 6 CONCEPT EXTENSIONS For the eercises below, see the Concept Check in this section.. Without graphing, how can ou tell that the graph of + =
More informationMATH 115: Final Exam Review. Can you find the distance between two points and the midpoint of a line segment? (1.1)
MATH : Final Eam Review Can ou find the distance between two points and the midpoint of a line segment? (.) () Consider the points A (,) and ( 6, ) B. (a) Find the distance between A and B. (b) Find the
More informationMA 15800, Summer 2016 Lesson 25 Notes Solving a System of Equations by substitution (or elimination) Matrices. 2 A System of Equations
MA 800, Summer 06 Lesson Notes Solving a Sstem of Equations b substitution (or elimination) Matrices Consider the graphs of the two equations below. A Sstem of Equations From our mathematics eperience,
More information13.1 2X2 Systems of Equations
. X Sstems of Equations In this section we want to spend some time reviewing sstems of equations. Recall there are two basic techniques we use for solving a sstem of equations: Elimination and Substitution.
More informationEam 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 information1. Simplify each expression and write all answers without negative exponents. for variable L.
MATH 0: PRACTICE FINAL Spring, 007 Chapter # :. Simplif each epression and write all answers without negative eponents. ( ab ) Ans. b 9 7a 6 Ans.. Solve each equation. 5( ) = 5 5 Ans. man solutions + 7
More informationMath 0210 Common Final Review Questions (2 5 i)(2 5 i )
Math 0 Common Final Review Questions In problems 1 6, perform the indicated operations and simplif if necessar. 1. ( 8)(4) ( )(9) 4 7 4 6( ). 18 6 8. ( i) ( 1 4 i ) 4. (8 i ). ( 9 i)( 7 i) 6. ( i)( i )
More informationBOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 051 Midterm Examination Review Do ONLY 4 CHAPTERS. Your instructor will tell you which 4 chapters to complete. Everyone is required
More informationLaw of Sines, Law of Cosines, Heron s Formula:
PreAP Math Analsis nd Semester Review Law of Sines, Law of Cosines, Heron s Formula:. Determine how man solutions the triangle has and eplain our reasoning. (FIND YOUR FLOW CHART) a. A = 4, a = 4 ards,
More information4.4 Problem Solving Using Systems of Equations
4.4 Problem Solving Using Systems of Equations Steps 1) Read, read, read. Draw a diagram, if needed. 2) Assign a variable to each unknown (need 2 variables). 3) Translate so you have 2 equations. 4) Solve
More informationMath Finite Mathematics Instructor - Dalip Sondhi Exam 1
Math - Finite Mathematics Instructor - Dalip Sondhi Eam Name Date PLEASE SUBMIT THIS TEST, SUMMARIZE YOUR ANSWERS ON IT, STAPLE YOUR SUPPORTING WORK TO IT & SCANTRON INSERTED BEHIND PAGE, UNSTAPLED. GRADING
More informationBOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H. Multiple Choice Problems
BOROUGH OF MANHATTAN COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MAT 012/051 Final Examination Review Form H Multiple Choice Problems 1. If a = -1 and b = -2, find the value of!3a2 b + 2b 3 a. a) -2 b)
More informationCan a system of linear equations have no solution? Can a system of linear equations have many solutions?
5. Solving Special Sstems of Linear Equations Can a sstem of linear equations have no solution? Can a sstem of linear equations have man solutions? ACTIVITY: Writing a Sstem of Linear Equations Work with
More information9 (0, 3) and solve equations to earn full credit.
Math 0 Intermediate Algebra II Final Eam Review Page of Instructions: (6, ) Use our own paper for the review questions. For the final eam, show all work on the eam. (-6, ) This is an algebra class do not
More informationModule 3, Section 4 Analytic Geometry II
Principles of Mathematics 11 Section, Introduction 01 Introduction, Section Analtic Geometr II As the lesson titles show, this section etends what ou have learned about Analtic Geometr to several related
More informationMt. Douglas Secondary
Foundations of Math 11 Section.1 Review: Graphing a Linear Equation 57.1 Review: Graphing a Linear Equation A linear equation means the equation of a straight line, and can be written in one of two forms.
More informationSolve each system by graphing. Check your solution. y =-3x x + y = 5 y =-7
Practice Solving Sstems b Graphing Solve each sstem b graphing. Check our solution. 1. =- + 3 = - (1, ). = 1 - (, 1) =-3 + 5 3. = 3 + + = 1 (, 3). =-5 = - 7. = 3-5 3 - = 0 (1, 5) 5. -3 + = 5 =-7 (, 7).
More informationLinear and Nonlinear Systems of Equations. The Method of Substitution. Equation 1 Equation 2. Check (2, 1) in Equation 1 and Equation 2: 2x y 5?
3330_070.qd 96 /5/05 Chapter 7 7. 9:39 AM Page 96 Sstems of Equations and Inequalities Linear and Nonlinear Sstems of Equations What ou should learn Use the method of substitution to solve sstems of linear
More informationHCC-SE MATH DEPT. 1 Revised Fall 2008
FINAL EXAM REVIEW ITEMS Math : College Algebra Find the -intercepts and an -intercepts. ) f() = + 7-0 ) = Name ) Select the equation that describes the graph. Solve the equation and epress the solution
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)
More informationEquations for Some Hyperbolas
Lesson 1-6 Lesson 1-6 BIG IDEA From the geometric defi nition of a hperbola, an equation for an hperbola smmetric to the - and -aes can be found. The edges of the silhouettes of each of the towers pictured
More informationMath125 Exam 5 Review Name. Do the following as indicated.
Math Eam Review Name Do the following as indicated. For the given functions f and g, find the requested function. ) f() = - 6; g() = 9 Find (f - g)(). ) ) f() = 33 + ; g() = - Find (f g)(). 3) f() = ;
More informationMATH 1710 College Algebra Final Exam Review
MATH 7 College Algebra Final Eam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. ) There were 80 people at a pla. The admission price was $
More informationALGEBRA 1 FINAL EXAM TOPICS
ALGEBRA 1 FINAL EXAM TOPICS Chapter 2 2-1 Writing Equations 2-2 Solving One Step Equations 2-3 Solving Multi-Step Equations 2-4 Solving Equations with the Variable on Each Side 2-5 Solving Equations Involving
More informationMath125 Exam 5 (Final) Review Name. Do the following as indicated. 17) log 17x = 1.2 (Round answer to four decimal places.)
Math12 Eam (Final) Review Name Do the following as indicated. For the given functions f and g, find the requested function. 1) f() = - 6; g() = 92 Find (f - g)(). 2) f() = 33 + 1; g() = 2-2 Find (f g)().
More information[ ] 4. Math 70 Intermediate Algebra II Final Exam Review Page 1 of 19. Instructions:
Math Intermediate Algebra II Final Eam Review Page of 9 Instructions: Use our own paper for the review questions. For the final eam, show all work on the eam. This is an algebra class do not guess! Write
More informationa [A] +Algebra 2/Trig Final Exam Review Fall Semester x [E] None of these [C] 512 [A] [B] 1) Simplify: [D] x z [E] None of these 2) Simplify: [A]
) Simplif: z z z 6 6 z 6 z 6 ) Simplif: 9 9 0 ) Simplif: a a a 0 a a ) Simplif: 0 0 ) Simplif: 9 9 6) Evaluate: / 6 6 6 ) Rationalize: ) Rationalize: 6 6 0 6 9) Which of the following are polnomials? None
More informationName Please print your name as it appears on the class roster.
Berkele Cit College Practice Problems Math 1 Precalculus - Final Eam Preparation Name Please print our name as it appears on the class roster. SHORT ANSWER. Write the word or phrase that best completes
More informationFair Game Review. Chapter 2. and y = 5. Evaluate the expression when x = xy 2. 4x. Evaluate the expression when a = 9 and b = 4.
Name Date Chapter Fair Game Review Evaluate the epression when = and =.... 0 +. 8( ) Evaluate the epression when a = 9 and b =.. ab. a ( b + ) 7. b b 7 8. 7b + ( ab ) 9. You go to the movies with five
More informationREVIEW PACKET FOR END OF COURSE EXAM
Math H REVIEW PACKET FOR END OF COURSE EXAM DO NOT WRITE ON PACKET! Do on binder paper, show support work. On this packet leave all fractional answers in improper fractional form (ecept where appropriate
More informationWoodland Community College: Math Practice Test
Woodland Communit College: Math Practice Test Elementar Algebra Math Test The following problems are recommended practice problems for the elementar algebra section of the placement test. Some of the problems
More informationFixed Perimeter Rectangles
Rectangles You have a flexible fence of length L = 13 meters. You want to use all of this fence to enclose a rectangular plot of land of at least 8 square meters in area. 1. Determine a function for the
More informationPre Calculus Spring Final Exam REVIEW
Pre Calculus Spring Final Eam REVIEW Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. ) B = 43 C = 7 b = 4 Two sides and an angle (SSA) of a triangle are
More informationPRINCIPLES OF MATHEMATICS 11 Chapter 2 Quadratic Functions Lesson 1 Graphs of Quadratic Functions (2.1) where a, b, and c are constants and a 0
PRINCIPLES OF MATHEMATICS 11 Chapter Quadratic Functions Lesson 1 Graphs of Quadratic Functions (.1) Date A. QUADRATIC FUNCTIONS A quadratic function is an equation that can be written in the following
More information6-1 Study Guide and Intervention
NAME DATE PERID 6- Stud Guide and Intervention Graphing Sstems of Equations Possible Number of Solutions Two or more linear equations involving the same variables form a sstem of equations. A solution
More informationName Class Date. Solving by Graphing and Algebraically
Name Class Date 16-4 Nonlinear Sstems Going Deeper Essential question: How can ou solve a sstem of equations when one equation is linear and the other is quadratic? To estimate the solution to a sstem
More informationMath 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
More informationInstructor: Imelda Valencia Course: A3 Honors Pre Calculus
Student: Date: Instructor: Imelda Valencia Course: A3 Honors Pre Calculus 01 017 Assignment: Summer Homework for those who will be taking FOCA 017 01 onl available until Sept. 15 1. Write the epression
More informationFind the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2
Sample Departmental Final - Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2 - n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance
More information(c) ( 5) 2. (d) 3. (c) 3(5 7) 2 6(3) (d) (9 13) ( 3) Question 4. Multiply using the distributive property and collect like terms if possible.
Name: Chapter 1 Question 1. Evaluate the following epressions. (a) 5 (c) ( 5) (b) 5 (d) ( 1 ) 3 3 Question. Evaluate the following epressions. (a) 0 5() 3 4 (c) 3(5 7) 6(3) (b) 9 + (8 5) (d) (9 13) + 15
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y =
Santa Monica College Practicing College Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard equation for the circle. 1) Center
More informationGraphs of Rational Functions. 386 Chapter 7 Linear Models and Graphs of Nonlinear Models Equation of ellipse ab
Chapter 7 Linear Models and Graphs of Nonlinear Models. Equation of ellipse or.9 7.9 7 feet 7..9 ab.9 ab a b A ab 9 ab 9 a a a a 9 a a 9 a a a b a b b a 9. The four tpes of conics are circles, parabolas,
More informationAdvanced Algebra 2 Final Review Packet KG Page 1 of Find the slope of the line passing through (3, -1) and (6, 4).
Advanced Algebra Final Review Packet KG 0 Page of 8. Evaluate (7 ) 0 when and. 7 7. Solve the equation.. Solve the equation.. Solve the equation. 6. An awards dinner costs $ plus $ for each person making
More information9.1 - Systems of Linear Equations: Two Variables
9.1 - Systems of Linear Equations: Two Variables Recall that a system of equations consists of two or more equations each with two or more variables. A solution to a system in two variables is an ordered
More informationEAST LOS ANGELES COLLEGE
EAST LOS ANGELES COLLEGE NAME: MATHEMATICS FINAL EXAM SAMPLE INSTRUCTOR: ANNE SISWANTO; TIME: 10 MINUTES --------------------------------------------------------------------------------------------------------------------------
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 1 Chapter 1 Practice Test Bro. Daris Howard MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) When going more than 38 miles per hour, the gas
More informationMATH 125 ELAC SPRING 2018 TEST 3 TAKE HOME NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 125 ELAC SPRING 2018 TEST 3 TAKE HOME NAME: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Write an equation of the circle with the given center
More informationElementary Algebra Review for Exam 4
Elementary Algebra Review for Eam 4 ) The length of a rectangular picture frame is 9 cm more than the width. The area inside the frame is 90 square cm. Find the dimensions of the frame. ) A 0-ft ladder
More informationBRONX COMMUNITY COLLEGE of the City University of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE. MTH 05 Review Sheet
BRONX COMMUNITY COLLEGE of the Cit Universit of New York DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE MTH 05 Review Sheet Go to http://www.cun.edu/testing for more information on the CUNY Elementar Algebra
More informationMath 154A Elementary Algebra Fall 2014 Final Exam Study Guide
Math A Elementar Algebra Fall 0 Final Eam Stud Guide The eam is on Tuesda, December 6 th from 6:00pm 8:0pm. You are allowed a scientific calculator and a " b 6" inde card for notes. On our inde card be
More informationMath 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations
Class: Date: Math 10 - Unit 8 REVIEW WORKSHEET - Systems of Linear Equations Multiple Choice Identify the choice that best answers the question. 1. Without graphing, determine the equation whose graph
More informationLesson 12: Systems of Linear Equations
Our final lesson involves the study of systems of linear equations. In this lesson, we examine the relationship between two distinct linear equations. Specifically, we are looking for the point where the
More informationMaintaining Mathematical Proficiency
Name Date Chapter 5 Maintaining Mathematical Proficienc Graph the equation. 1. + =. = 3 3. 5 + = 10. 3 = 5. 3 = 6. 3 + = 1 Solve the inequalit. Graph the solution. 7. a 3 > 8. c 9. d 5 < 3 10. 8 3r 5 r
More informationBerkeley City College Precalculus - Math 1 - Chapter 11. Name
Berkele Cit College Precalculus - Math 1 - Chapter 11 Homework 7 Due: Sstems of Equations Name Verif that the values of the variables listed are solutions of the sstem of equations. 1) 3 + = -3 + 3 = 1)
More informationNote: Two perpendicular lines form a system of the first type. (Nothing special about being )
Math 100 Elementary Algebra Sec 7.1: Solving Linear Systems by Graphing Two or more equations [inequalities] in several variables that are considered simultaneously are called a system of equations [inequalities].
More informationLesson 9.1 Using the Distance Formula
Lesson. Using the Distance Formula. Find the eact distance between each pair of points. a. (0, 0) and (, ) b. (0, 0) and (7, ) c. (, 8) and (, ) d. (, ) and (, 7) e. (, 7) and (8, ) f. (8, ) and (, 0)
More informationAPPENDIX D Rotation and the General Second-Degree Equation
APPENDIX D Rotation and the General Second-Degree Equation Rotation of Aes Invariants Under Rotation After rotation of the - and -aes counterclockwise through an angle, the rotated aes are denoted as the
More informationPractice Questions for MA 109 Final Exam. (d) 21. (d) , the answer is positive if ( 2 3(7) )
. Simplif: 77 ( 9) + 46 7 + ( 68) Practice Questions for MA 09 Final Exam 47 77. What is the first step in evaluating this expression: 86+ 6 ( ) 4? 86+ 6 ( ) 4 ( ) 6. Which one of the following illustrates
More informationC.3 Nonlinear Systems of Equations and Inequalities
50 section C3 C.3 Nonlinear Systems of Equations and Inequalities In section E, we discussed methods of solving systems of two linear equations. Recall that solutions to such systems are the intercepts
More informationMATH 91 Final Study Package Name
MATH 91 Final Stud Package Name Solve the sstem b the substitution method. If there is no solution or an infinite number of solutions, so state. Use set notation to epress the solution set. 1) - = 1 1)
More informationFirst 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 informationSummer Math Packet Grade 8 / Course 3
SHOW WORK FOR EVERY PROBLEM 1. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 4. The weight of an object
More informationWelcome to Honors Algebra II Trigonometry at Morton High School!
Welcome to Honors Algebra II Trigonometry at Morton High School! Dear Parents and Students, Mathematics is a discipline that constantly builds on previous knowledge. Students entering Honors Algebra II
More informationSystems of Linear and Quadratic Equations. Check Skills You ll Need. y x. Solve by Graphing. Solve the following system by graphing.
NY- Learning Standards for Mathematics A.A. Solve a sstem of one linear and one quadratic equation in two variables, where onl factoring is required. A.G.9 Solve sstems of linear and quadratic equations
More information8 Systems of Linear Equations
8 Systems of Linear Equations 8.1 Systems of linear equations in two variables To solve a system of linear equations of the form { a1 x + b 1 y = c 1 x + y = c 2 means to find all its solutions (all pairs
More informationSecondary I Chapter 7 Practice Test
.. Secondar I Chapter 7 Practice Test. The graph of which inequalit would be represented with a dashed line? a. b. c. d. Graph the sstem of linear inequalities. 7 x 7 7 x 7. Graph the solution to this
More informationMATH 115 SPRING 2019 REVIEW SHEET TEST 2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 115 SPRING 2019 REVIEW SHEET TEST 2 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Decide whether or not the ordered pair is a solution to the equation.
More informationPreAP Algebra 2 Unit 1 and Unit 2 Review Name A#
PreAP Algebra Unit and Unit Review Name A# Domain and Range:. The graph of the square root function f is shown below. - - - - - - - - - - Interval Notation Domain: Range: Inequalit Notation Domain: Range:.
More informationGRADE 8 TEKS/STAAR Spiraled Practice 1-20 Six Weeks 1
TEKSING TOWARD STAAR MATHEMATICS GRADE TEKS/STAAR Spiraled Practice -0 Si Weeks TEKSING TOWARD STAAR 0 TEKS/STAAR SPIRALED PRACTICE. If the area of a square is units, on which number line does S represents
More informationMath Intermediate Algebra
Math 095 - Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and
More informationSOLVING SYSTEMS OF EQUATIONS
SOLVING SYSTEMS OF EQUATIONS 3.. 3..4 In this course, one focus is on what a solution means, both algebraicall and graphicall. B understanding the nature of solutions, students are able to solve equations
More informationPrecalculus Spring Final Review Name
Precalculus Spring Final Review Name Solve the equation on the interval 0 θ < ". ) sin θ + sin θ = 0 A) 0, ", " 3, 5" 3 B) 0, ", 3" C) 0, ", " 3, " 3 D) 0, ", " 3, 5" 3 SHORT ANSWER. Answer the question.
More informationMATH 115: Review for Chapter 6
MATH 115: Review for Chapter 6 In order to prepare for our test on Chapter 6, ou need to understand and be able to work problems involving the following topics: I SYSTEMS OF LINEAR EQUATIONS CONTAINING
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question
Midterm Review 0 Precalculu Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question ) A graph of a function g is shown below. Find g(0). (-, ) (-, 0) - -
More informationIntermediate Algebra. Exam 1 Review (Chapters 1, 2, and 3)
Eam Review (Chapters,, and ) Intermediate Algebra Name. Epress the set in roster form. { N and 7}. Epress the set in set builder form. {-, 0,,,, }. Epress in set builder notation each set of numbers that
More information1) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-1) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = 7) (5)(-4) = 8) (-3)(-6) = 9) (-1)(2) =
Extra Practice for Lesson Add or subtract. ) (-3) + (-6) = 2) (2) + (-5) = 3) (-7) + (-) = 4) (-3) - (-6) = 5) (+2) - (+5) = 6) (-7) - (-4) = Multiply. 7) (5)(-4) = 8) (-3)(-6) = 9) (-)(2) = Division is
More information12.1 Systems of Linear equations: Substitution and Elimination
. Sstems of Linear equations: Substitution and Elimination Sstems of two linear equations in two variables A sstem of equations is a collection of two or more equations. A solution of a sstem in two variables
More informationEXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE
1 EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE INSTRUCTIONAL ACTIVITY Lesson 1 LEARNING GOAL Students will develop an understanding of diameter, radius, circumference, and pi and the relationships among
More informationApplications of Systems of Linear Equations
5.2 Applications of Systems of Linear Equations 5.2 OBJECTIVE 1. Use a system of equations to solve an application We are now ready to apply our equation-solving skills to solving various applications
More informationMath 1050 REVIEW for Exam 1. Use synthetic division to find the quotient and the remainder. 1) x3 - x2 + 6 is divided by x + 2
Math 0 REVIEW for Eam 1 Use snthetic division to find the quotient and the remainder. 1) 3-2 + 6 is divided b + 2 Use snthetic division to determine whether - c is a factor of the given polnomial. 2) 3-32
More informationMourning Sr. High. Pre-Calculus 2017 Summer Assignment. 2. Write the final answer on the line provided.
Mourning Sr. High Directions: 1. Show all of our work. Pre-Calculus 017 Summer Assignment. Write the final answer on the line provided. This assignment will be collected the first da of school. You will
More information7.2 Solving Systems with Graphs Name: Date: Goal: to use the graphs of linear equations to solve linear systems. Main Ideas:
7.2 Solving Systems with Graphs Name: Date: Goal: to use the graphs of linear equations to solve linear systems Toolkit: graphing lines rearranging equations substitution Main Ideas: Definitions: Linear
More informationFair Game Review. Chapter 5. feet and the length is 2x feet. Find the. perimeter of the garden. 24x 5 3. Name Date. Simplify the expression. 6.
Name Date Chapter 5 Fair Game Review Simplif the expression. 1. 2x + 5 x 2. 4 + 2d 4d 3. 7 8 + 6 3 4. 5 + 4z 3 + 3z 5. 4( s + 2) + s 1 6. ( ) 24x 5 3 7. The width of a garden is ( 4x 1) perimeter of the
More informationUnit 12: Systems of Equations
Section 12.1: Systems of Linear Equations Section 12.2: The Substitution Method Section 12.3: The Addition (Elimination) Method Section 12.4: Applications KEY TERMS AND CONCEPTS Look for the following
More information7.1 Solving Systems of Equations
Date: Precalculus Notes: Unit 7 Systems of Equations and Matrices 7.1 Solving Systems of Equations Syllabus Objectives: 8.1 The student will solve a given system of equations or system of inequalities.
More information1.3 Solving Systems of Linear Equations: Gauss-Jordan Elimination and Matrices
1.3 Solving Systems of Linear Equations: Gauss-Jordan Elimination and Matrices We can represent a system of linear equations using an augmented matrix. In general, a matrix is just a rectangular arrays
More informationThis is Solving Linear Systems, chapter 3 from the book Advanced Algebra (index.html) (v. 1.0).
This is Solving Linear Systems, chapter 3 from the book Advanced Algebra (index.html) (v. 1.0). This book is licensed under a Creative Commons by-nc-sa 3.0 (http://creativecommons.org/licenses/by-nc-sa/
More informationFair Game Review. Chapter 9. Find the square root(s) ± Find the side length of the square. 7. Simplify Simplify 63.
Name Date Chapter 9 Find the square root(s). Fair Game Review... 9. ±. Find the side length of the square.. s. s s Area = 9 ft s Area = 0. m 7. Simplif 0. 8. Simplif. 9. Simplif 08. 0. Simplif 88. Copright
More informationSOLVING SYSTEMS OF EQUATIONS
SOLVING SYSTEMS OF EQUATIONS 4.. 4..4 Students have been solving equations even before Algebra. Now the focus on what a solution means, both algebraicall and graphicall. B understanding the nature of solutions,
More informationTopic 1. Solving Equations and Inequalities 1. Solve the following equation
Topic 1. Solving Equations and Inequalities 1. Solve the following equation Algebraically 2( x 3) = 12 Graphically 2( x 3) = 12 2. Solve the following equations algebraically a. 5w 15 2w = 2(w 5) b. 1
More informationSystems of Linear Equations: Solving by Adding
8.2 Systems of Linear Equations: Solving by Adding 8.2 OBJECTIVES 1. Solve systems using the addition method 2. Solve applications of systems of equations The graphical method of solving equations, shown
More informationMath 0308 Final Exam Review(answers) Solve the given equations. 1. 3x 14 8x 1
Math 8 Final Eam Review(answers) Solve the given equations.. 8.. 9.. 9 9 8 8.. 8 8 all real numbers 8. 9. all real numbers no solution 8 8 9 9 9 Solve the following inequalities. Graph our solution on
More informationA.7A Mini-Assessment
LGER I (.) Linear Functions. The formulates equations and inequalities based on linear functions, uses a variet of methods to solve them, and analzes the solutions in terms of the situation. The student
More information