Algebra Unit 6 Test review white boards notea.notebook. February 02, y = y = a) (-3, -2) b) (1, -3) c) (0, -1) c) (2, 3) a) ( 1, 3) d) ( 3, 1)
|
|
- Agatha Tate
- 5 years ago
- Views:
Transcription
1 Unit 6 white board review 1. Find the solution to the graph on the right. ( 1, 3) (3, 1) c) (2, 3) d) ( 3, 1) Graph and find the point of intersection for each. 2. (-3, -2) (1, -3) c) (0, -1) 3. Graph and find the point of intersection for each. y = y = Randy has $400 in his account, and he will deposit an additional $100 each week. Karin has $100, and she will add $200 more each week. Write two equations to represent the situation. y = -4x + 4 y = 2x + 3 y = 4x - 4 y = 2x + 3 c) y = 4x - 4 y = 1 x Graph both equations and determine when they have the same amount of money. (2, 4) (2, 2) c) no solution 1
2 4. Identify the first step to solving the system by substitution. Solve each system by substitution. substitute 2y 6 for x combine like terms c) distribute 5 d) use inverse operations to solve 5. (4, 3) (3, 7) c) (7, 3) d) ( 4, 0) Solve each system by substitution. 6. (10, 30) (2, 5) c) (2, 6) d) ( 10, 30) SET UP and SOLVE. 7. Break Even Problem. You have opened your own boat shop. Your cost to open and equip your shop was $15,000. If every boat costs you $2,500 to make and you sell them for $5,650 each, how many boats must you sell before you break even? x = Cost = Revenue = 4 boats 5 boats c) 2 boats d) 3 boats 2
3 Solve each system by adding or subtracting. 8. Solve each system by adding or subtracting. 9. ( 4, 7) ( 2, 3) (7, 4) (3, 2) c) (4, 7) c) (2, 3) d) (7, 4) d) ( 3, 2) 10. To solve this system of equations by the elimination method, what would be your first step? EXPLAIN your reasoning. c) Multiply the top equation by 3 to cancel out the x's d) Multiply the top equation by 3 to cancel out the x's Multiply the top equation by 2 to cancel out the y's Multiply the top equation by 2 to cancel out the y's 11. ( 1, 2) (2, 1) c) (1, 2) d) (2, 1) 3
4 many solutions (1, 5) no solution c) (10, 14) d) ( 11, 10) (5, 1) c) ( 5, 1) d) (1, 5) 14. ( 3, 3) 15. The sum of two number is 25. The difference of the numbers is 10. Find the two numbers. (Set up but do NOT solve.) x = one # y = another # (3, 3) c) (2, 3) d) (1, 3) 4
5 16. At a county fair, the cost for 5 slices of pizza and 4 orders of French fries is $ The cost of 2 slices of pizza and 1 orders of French fries is $ Write a system of equations to model this situation. (Set up but do NOT solve.) p = $ for 1 pizza slice f = $ for order of fries 17. There were 80 Algebra 1 students at Harlem High School, some are girls and some are boys. The ratio of girls to boys is 5 to 7. Find the number of girls and the number of boys enrolled in Algebra. (Set up but do NOT solve.) g = # of girls b = # of boys 5p + 4f = p + 1f = c) 4p + 5f = p + 2f = g + b = 80 5g = 7b c) g + b = 80 7g = 5b 4p + 5f = d) 5p + 4f = p + 2f = p + 1f = g + 7b = 80 d) 7g + 5b = 80 5g = 7b 7g = 5b 18. Four times a number plus two times another number equals 18. The sum of the two numbers is 15. Write a system of equations to model this situation. (Set up but do NOT solve.) x = one # y = another # x + y = 18 c) 4x + 2y = 18 4x + 2y = 15 x + y = Given the graph at the right, which point below is NOT a solution? ( 2, 3) (1, 2) c) (3, 1) d) (2, 3) x + y = 15 x + 2y = 18 d) x + y = 15 4x + y = 18 5
6 20. Which system is graphed at the right? Graph the solution to these systems of inequalities. 21. c) Graph the solution to these systems of inequalities. 22. c) 23. The high school is putting on a play. The maximum number of seats in the auditorium is 600 seats. The school hopes to make at least $3100. Student tickets will cost $3 each and adult tickets will cost $8 each. Write a system of inequalities to model this situation. (Set up but do NOT solve.) a + s < 600 3a + 8s < 3100 a = # of adult tickets s = # of student tickets c) a + s > 600 8a + 3s < 3100 a + s < 600 8a + 3s > 3100 d) a + s > 600 3a + 8s <
7 Solve these systems of equations using matrices. 24. ( 4, 1) Solve these systems of equations using matrices. (1, 4) c) (0, 4) d) (1, 0) 25. (7, 6) (6, 7) c) (0, 6) d) (7, 0) Solve these systems of equations using matrices. 26. ( 2, 7) (7, 10) c) ( 2, 7, 10) d) (10, 7, 2) 7
3.1 Solving Linear Systems by Graphing 1. Graph and solve systems of linear equations in two variables. Solution of a system of linear equations
3.1 Solving Linear Systems by Graphing Objectives 1. Graph and solve systems of linear equations in two variables. Key Terms System of linear equations Solution of a system of linear equations Check whether
More informationStudy Guide and Review - Chapter 6
State whether each sentence is or false. If false, replace the underlined term to make a sentence. 1. If a system has at least one solution, it is said to be consistent. Graph each system and determine
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 informationInequalities Chapter Test
Inequalities Chapter Test Part 1: For questions 1-9, circle the answer that best answers the question. 1. Which graph best represents the solution of 8 4x < 4 A. B. C. D. 2. Which of the following inequalities
More informationName: Block: Unit 2 Inequalities
Name: Block: Unit 2 Inequalities 2.1 Graphing and Writing Inequalities 2.2 Solving by Adding and Subtracting 2.3 Solving by Multiplying and Dividing 2.4 Solving Two Step and Multi Step Inequalities 2.5
More informationAlgebra 1 Unit 6: Linear Inequalities and Absolute Value Guided Notes
Section 6.1: Solving Inequalities by Addition and Subtraction How do we solve the equation: x 12 = 65? How do we solve the equation: x 12 < 65? Graph the solution: Example 1: 12 y 9 Example 2: q + 23
More informationNON-CALCULATOR: I. Decide whether or not the following information defines a function. Explain/support your answer x y
NON-CALCULATOR: I. Decide whether or not the following information defines a function. Explain/support your answer. 1. 2. 3. x -1 0 1 2 3 y 5 7 2-1 -8 4 & 5. Refer to the numbered graphs 4 5 6. x -3 2
More informationLinear Systems and Matrices. Copyright Cengage Learning. All rights reserved.
7 Linear Systems and Matrices Copyright Cengage Learning. All rights reserved. 7.1 Solving Systems of Equations Copyright Cengage Learning. All rights reserved. What You Should Learn Use the methods of
More informationMath 3 Variable Manipulation Part 1 Algebraic Systems
Math 3 Variable Manipulation Part 1 Algebraic Systems 1 PRE ALGEBRA REVIEW OF INTEGERS (NEGATIVE NUMBERS) Concept Example Adding positive numbers is just simple addition 2 + 3 = 5 Subtracting positive
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 informationAlgebra I Chapter 6 Practice Test
Name: Class: Date: ID: A Algebra I Chapter 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. Find a solution of the system of linear inequalities.
More informationChapter 1-2 Add and Subtract Integers
Chapter 1-2 Add and Subtract Integers Absolute Value of a number is its distance from zero on the number line. 5 = 5 and 5 = 5 Adding Numbers with the Same Sign: Add the absolute values and use the sign
More information2 Which graph shows the solution to the following
1 In order for Josh to graph the solution to the inequality 4x 2y > 6, which of the following steps does he need to use? Select all that apply. A. Shade above the line. B. Draw the line y = 2x 3 as a solid
More informationYou solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6)
You solved systems of equations algebraically and represented data using matrices. (Lessons 0-5 and 0-6) Solve systems of linear equations using matrices and Gaussian elimination. Solve systems of linear
More informationMAFS Algebra 1. Systems of Equations and Inequalities. Day 10 - Student Packet
MAFS Algebra 1 Systems of Equations and Inequalities Day 10 - Student Packet Day 10: Systems of Equations and Inequalities MAFS.912.A-REI.3.5, MAFS.912.A-REI.3.6, MAFS.912.A-REI.4.10 I CAN graph a system
More informationSection 2.3 Objectives
Section 2.3 Objectives Use the inequality symbols to compare two numbers. Determine if a given value is a solution of an inequality. Solve simple inequalities. Graph the solutions to inequalities on the
More informationH.Alg 2 Notes: Day1: Solving Systems of Equations (Sections ) Activity: Text p. 116
H.Alg 2 Notes: Day: Solving Systems of Equations (Sections 3.-3.3) Activity: Text p. 6 Systems of Equations: A set of or more equations using the same. The graph of each equation is a line. Solutions of
More information6 which of the following equations would give you a system of equations with the same line and infinitely many solutions?
Algebra 1 4 1 Worksheet Name: Per: Part I: Solve each system of equations using the graphing method. 1) y = x 5 ) -x + y = 6 y = x + 1 y = -x 3) y = 1 x 3 4) 4x y = 8 y = 1 x + 1 y = x + 3 5) x + y = 6
More information1. Graph the system of equations and tell the solution. 1. Solution
Algebra Reporting Strand 4: Systems of Equations & Inequalities Subunit 4a: Solving Systems of Equations Review Name: Period: Date: Read all the directions carefully, put your answers in the blanks provided,
More informationName: Systems 2.1. Ready Topic: Determine if given value is a solution and solve systems of equations
Name: Systems 2.1 Ready, Set, Go! Ready Topic: Determine if given value is a solution and solve systems of equations TE-16 1. Graph both equations on the same axes. Then determine which ordered pair is
More informationPower Packet. Algebra 1 Unit 5. Name
Power Packet Algebra 1 Unit 5 Name This packet may be used on your test and will be collected when you turn your test in. Write and graph linear inequalities / 1 6 Solve one-step linear inequalities /
More informationFoundations of Math. Chapter 3 Packet. Table of Contents
Foundations of Math Chapter 3 Packet Name: Table of Contents Notes #43 Solving Systems by Graphing Pg. 1-4 Notes #44 Solving Systems by Substitution Pg. 5-6 Notes #45 Solving by Graphing & Substitution
More informationAlgebra I. Systems of Linear Equations and Inequalities. Slide 1 / 179. Slide 2 / 179. Slide 3 / 179. Table of Contents
Slide 1 / 179 Algebra I Slide 2 / 179 Systems of Linear Equations and Inequalities 2015-04-23 www.njctl.org Table of Contents Slide 3 / 179 Click on the topic to go to that section 8th Grade Review of
More informationSystems of Equations and Inequalities
1 Systems of Equations and Inequalities 2015 03 24 2 Table of Contents Solving Systems by Graphing Solving Systems by Substitution Solve Systems by Elimination Choosing your Strategy Solving Systems of
More informationFoundations of Algebra. Learning Goal 3.1 Algebraic Expressions. a. Identify the: Variables: Coefficients:
Learning Goal 3.1 Algebraic Expressions What you need to know & be able to do 1. Identifying Parts of Algebraic Expressions 3.1 Test Things to remember Identify Parts of an expression Variable Constant
More information2x + 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
More informationMath 1101 Chapter 2 Review Solve the equation. 1) (y - 7) - (y + 2) = 4y A) B) D) C) ) 2 5 x x = 5
Math 1101 Chapter 2 Review Solve the equation. 1) (y - 7) - (y + 2) = 4y A) - 1 2 B) - 9 C) - 9 7 D) - 9 4 2) 2 x - 1 3 x = A) -10 B) 7 C) -7 D) 10 Find the zero of f(x). 3) f(x) = 6x + 12 A) -12 B) -2
More informationWhen a graph on a coordinate plane is a straight line that goes through the origin it is called a direct
DIRECT VARIATION TABLES AND SLOPE LESSON 3-B When a graph on a coordinate plane is a straight line that goes through the origin it is called a direct variation graph. In this lesson you will investigate
More informationStudy Guide and Review - Chapter 1
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence. 1. The absolute value of a number is always negative. The absolute value of a number is always
More informationLESSON 2 PRACTICE PROBLEMS KEY
LESSON PRACTICE PROBLEMS KEY 1)If x -11= 1, then x = 4 d) 16 x 11 1 4 x 1 4 4 4 x 1 4 x 16 ) If 7x + 6y = 15 and 4x 6y = 18, what is the value of x? a) Line the equations up vertically: 7x 6y 15 4x 6y
More informationUnit 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
More information7.1Solvingsys2015.notebook. November 05, Warm up. Partial fraction decompostion
Warm up Partial fraction decompostion 1 Please add due dates to the calendar Nov Dec 2 7.1 Solving Systems of Equations by Substitution and Graphing Vocabulary System: Problems that involve two or more
More informationUnit 5 SIMULTANEOUS LINEAR EQUATIONS
MATH 8 Unit 5 SIMULTANEOUS LINEAR EQUATIONS By the end of this unit, students should be able to: 1. Solve simultaneous linear equations by graphing. 2. Understand what it means to solve a system of equations.
More informationName Period Date. ** A system of equations is a set of two or more equations that have the same variables.
Reteaching 5-1 Solving Systems by Graphing ** A system of equations is a set of two or more equations that have the same variables. ** The solution of a system is an ordered pair that satisfies all equations
More informationACT Elementary Algebra Review Contents
ACT Elementary Algebra Review Contents Simplifying Expressions... Review... Practice Problems... FOIL and Multiplying Binomials... 4 Review... 4 Practice Problems... 4 Inequalities... 7 Review... 7 Practice
More informationNumber of (Nested) Shopping Carts Three nested shopping carts are shown.
Randy must fit shopping carts into an area that has a length of 82 feet and a width of one shopping cart. He made some measurements necessary for his computations. The table shows the length of a set of
More informationCP Algebra 2 Midterm Review Multiple Choice (40 questions)
CP Algebra 2 Midterm Review Multiple Choice (40 questions) Evaluate each expression if r = -1, n = 3, t = 12, and w = 1 2. 1. w[t + (t r)] 2. 9r 2 + (n 2 1)t Solve each equation. Check your solution. 3.
More information1. Solve the inequality 2 (3 + x) < 4x + 4 < 8x. Give the result in set notation and graph it.
Student ID: 21942320 Exam: 050291RR - Systems of Equations; Inequalities When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit
More informationREVIEW Algebra 1 Fall Final
1. (A.5A) Solve: 4(x 8) = 4x (7x 3) A. x = 29/7 B. x = 5 C. x = no solution D. x = 5 Use the graph below to answer questions #2-3 6. (A.2E) Write the equation of a line passing through ( 5, 7)that is parallel
More informationName Period Date Ch. 5 Systems of Linear Equations Review Guide
Reteaching 5-1 Solving Systems by Graphing ** A system of equations is a set of two or more equations that have the same variables. ** The solution of a system is an ordered pair that satisfies all equations
More informationKEYSTONE ALGEBRA I REVIEW
1. Which graph represents a linear function 4. The faces of a cube are numbered from 1 to 6. If the cube is tossed once, what is the probability that a prime number or a number divisible by 2 is obtained
More informationIndiana Core 40 End-of-Course Assessment Algebra I Blueprint*
Types of items on the Algebra I End-of-Course Assessment: Multiple-choice 1 point per problem The answer to the question can be found in one of four answer choices provided. Numeric response 1 point per
More informationSection 1.1 Solving Linear Equations and Inequalities a + 4b c
Section 1 Solving Linear Equations and Inequalities A. Evaluating Expressions Examples Evaluate the following if a = 7, b =, and c = ( a + c ) + b. a + b c B. The Distributive Property Try the Following
More informationIf the bottom numbers of a fraction are the same, just add (or subtract) the top numbers. a 2 7. c 9. a 9 20
. Adding and subtracting fractions and mixed numbers Questions are targeted at the grades indicated Work out a c +... b... d + Work out and give your answers in their simplest form....... If the bottom
More informationFair Game Review. Chapter = How many calculators are sold when the profit is $425? Solve the equation. Check your solution.
Name Date Chapter 4 Fair Game Review Solve the equation. Check our solution.. 8 3 = 3 2. 4a + a = 2 3. 9 = 4( 3k 4) 7k 4. ( m) 2 5 6 2 = 8 5. 5 t + 8t = 3 6. 3 5h 2 h + 4 = 0 2 7. The profit P (in dollars)
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 informationPre-Test Chapter
Pre-Test Name Date 1. The equation 3x 2 11 is solved as shown. Describe the inverse operations used in each step. 3x 2 11 Step 1: 3x 2 1 11 1 3x 1 Step 2: 3x 1 3 x In Step 1, was added to both sides of
More informationCCGPS Coordinate Algebra. EOCT Review Units 1 and 2
CCGPS Coordinate Algebra EOCT Review Units 1 and 2 Unit 1: Relationships Among Quantities Key Ideas Unit Conversions A quantity is a an exact amount or measurement. A quantity can be exact or approximate
More informationChapter 3 Algebra (pearson)
Class: Date: Chapter 3 Algebra (pearson) What inequality represents the verbal expression? 1. 8 less than a number n is less than 13 a. 8 n < 13 c. n 8 < 13 b. 13 8 < n d. 13 < 8 n Which number is a solution
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 informationCHAPTER 6: LINEAR SYSTEMS AND THEIR GRAPHS
Name: Date: Period: CHAPTER : LINEAR SYSTEMS AND THEIR GRAPHS Notes #: Section.: Solving Linear Sstems b Substitution The solution to a sstem of equations represents the where the. It would be great if
More informationUNIT 5: Systems of Equations
Algebra 2 Trig UNIT 5: Systems of Equations Name: Teacher: Pd: 1 Table of Contents Day 1: Review Solving Linear Systems SWBAT: Solve linear systems algebraically and graphically. Homework: Page 7 Day 2:
More informationLesson 30: Linear Systems in Three Variables
Lesson 30: Linear Systems in Three Variables Student Outcomes Students solve linear systems in three variables algebraically. Lesson Notes Students solved systems of linear equations in two variables using
More informationChapter 7: Systems of Linear Equations
Chapter 7: Systems of Linear Equations Section 7.1 Chapter 7: Systems of Linear Equations Section 7.1: Developing Systems of Linear Equations Terminology: System of Linear Equations: A grouping of two
More informationUnit 6 Systems of Equations
1 Unit 6 Systems of Equations General Outcome: Develop algebraic and graphical reasoning through the study of relations Specific Outcomes: 6.1 Solve problems that involve systems of linear equations in
More informationPre-Algebra Semester 1 Practice Exam A
. Evaluate xy when x 0 and y 6. 6 80. Which expression is equivalent to x x x xxx x x xxx x x?. In math class, we follow the order of operations when evaluating expressions. Which is the second operation
More informationA) (-1, -1, -2) B) No solution C) Infinite solutions D) (1, 1, 2) A) (6, 5, -3) B) No solution C) Infinite solutions D) (1, -3, -7)
Algebra st Semester Final Exam Review Multiple Choice. Write an equation that models the data displayed in the Interest-Free Loan graph that is provided. y = x + 80 y = -0x + 800 C) y = 0x 00 y = 0x +
More informationLHS Algebra Pre-Test
Your Name Teacher Block Grade (please circle): 9 10 11 12 Course level (please circle): Honors Level 1 Instructions LHS Algebra Pre-Test The purpose of this test is to see whether you know Algebra 1 well
More informationCourse 2 Benchmark Test First Quarter(Chapters 1-2)
Course 2 Benchmark Test First Quarter(Chapters 1-2) 1. The table shows the costs of different size jars of peanut butter. Which of the jars has the lowest unit rate? A. 12-oz jar B. 18-oz jar Comparison
More informationChapter 1. Lesson 1.1 Practice Set x 11x = (2 x 11)x = 22x y = 1.35y. 5. 5m + 7 when m = (3) + 7 = = 22
Chapter 1 Lesson 1.1 Practice Set 1. 2 x 11x = (2 x 11)x = 22x 2. 1.35 y = 1.35y 5. 5m + 7 when m = 3 6. 5(3) + 7 = 15 + 7 = 22 7. 8. 1 c when c = 63 3 1 1 63 63 (63) 21 3 3 1 3 9. $8.15(h) when h = 43
More informationStudent ID: Exam: RR - SYSTEMS OF EQUATIONS; INEQUALITIES. 1. Graph the inequality y 3.
Student ID: 21745663 Exam: 050353RR - SYSTEMS OF EQUATIONS; INEQUALITIES When you have completed your exam and reviewed your answers, click Submit Exam. Answers will not be recorded until you hit Submit
More informationStudy Unit 3 : Linear algebra
1 Study Unit 3 : Linear algebra Chapter 3 : Sections 3.1, 3.2.1, 3.2.5, 3.3 Study guide C.2, C.3 and C.4 Chapter 9 : Section 9.1 1. Two equations in two unknowns Algebraically Method 1: Elimination Step
More informationAlgebra I. Systems of Linear Equations and Inequalities. 8th Grade Review. Slide 1 / 179 Slide 2 / 179. Slide 4 / 179. Slide 3 / 179.
Slide 1 / 179 Slide 2 / 179 lgebra I Systems of Linear Equations and Inequalities 2015-04-23 www.njctl.org Slide 3 / 179 Table of Contents Click on the topic to go to that section 8th Grade Review of Systems
More informationUnit 3 Linear Algebra & Unit 4 Systems of Linear Equations REVIEW. + is equal to 2.
Unit 3 Linear Algebra & Unit 4 Systems of Linear Equations REVIEW 1. The expression 3x + 5y 7x+ 4y is equivalent to which of the following? 1. (1) 4x 9y () 9y 4 x (3) 4x y (4) 10x + 9y. Written without
More informationMath 2 Variable Manipulation Part 6 System of Equations
Name: Date: 1 Math 2 Variable Manipulation Part 6 System of Equations SYSTEM OF EQUATIONS INTRODUCTION A "system" of equations is a set or collection of equations that you deal with all together at once.
More informationSection 4 Topic 1 Arithmetic Sequences
Section 4 Topic 1 Arithmetic Sequences Let s look at the following sequence of numbers: 3, 8, 13, 18, 23,.... Ø Ø Ø The at the end means that this sequence goes on forever. 3, 8, 13, 18, and 23 are the
More informationOctober 5 th October 9 th. Unit 2: Equations & Inequalities
Algebra I: Week 6 Math Packet October 5 th October 9 th Unit 2: Equations & Inequalities Jump Start Directions: Answer the Regents question below to the best of your ability. Solve the inequality below
More informationUnit 8 Solving System of Equations
Unit 8 Solving System of Equations NAME: GRADE: TEACHER: Ms. Schmidt _ Solving Systems of Linear Equations Graphically Classwork Day 1 Vocabulary: System of Equations: Solutions: When you graph two lines,
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 informationA. 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,
More informationMath098 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 informationName Class Date. Simplifying Algebraic Expressions Going Deeper. Combining Expressions
Name Class Date 1-5 1 Simplifying Algebraic Expressions Going Deeper Essential question: How do you add, subtract, factor, and multiply algebraic expressions? CC.7.EE.1 EXPLORE Combining Expressions video
More informationWhy? Sport. Source: The National Federation of State High School Associations. The element -1 is in Row 2, Column 1. 4 columns.
Organizing Data Using Matrices Then You represented data using statistical graphs. (Lesson -) Now Organize data in matrices. Perform matrix operations. Why? The table shows high school participation in
More informationDefine the word inequality
Warm Up: Define the word inequality Agenda: Objective- Students can solve linear inequalities in one variable, including equations with coefficients represented by letters. Define Inequalities One & Two
More informationMath 1 Unit 7 Review
Name: ate: 1. Which ordered pair is the solution to this system of equations? 5. system of equations is graphed on the set of axes below. y = x + 4 x + y = 2. (1, 5). (0, 2). ( 1, 3). ( 4, 0) 2. Which
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 information10-1 Sequences as Functions. Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22
Determine whether each sequence is arithmetic. Write yes or no. 1. 8, 2, 12, 22 Subtract each term from the term directly after it. The common difference is 10. 3. 1, 2, 4, 8, 16 Subtract each term from
More informationName Class Date. What is the solution to the system? Solve by graphing. Check. x + y = 4. You have a second point (4, 0), which is the x-intercept.
6-1 Reteaching Graphing is useful for solving a system of equations. Graph both equations and look for a point of intersection, which is the solution of that system. If there is no point of intersection,
More information28 (Late Start) 7.2a Substitution. 7.1b Graphing with technology Feb 2. 4 (Late Start) Applications/ Choosing a method
Unit 7: Systems of Linear Equations NAME: The calendar and all assignments are subject to change. Students will be notified of any changes during class, so it is their responsibility to pay attention and
More informationAlgebra 1 End-of-Course Assessment Practice Test with Solutions
Algebra 1 End-of-Course Assessment Practice Test with Solutions For Multiple Choice Items, circle the correct response. For Fill-in Response Items, write your answer in the box provided, placing one digit
More informationAlgebra 2 Summer Review Packet
Algebra Summer Review Packet Welcome to Algebra! Attached you will find the learning targets your teacher thinks you should know BEFORE you come to class in the fall and problems to help you practice these
More information45 Minutes 27 Questions YOU MAY WRITE ON THIS
Algebra 2 Chapter 3.3/3.4 Review NAME 45 Minutes 27 Questions YOU MAY WRITE ON THIS DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document.
More informationPre-Algebra Semester 1 Practice Exam A
. Evaluate y when = 0 and y = 6. 5 6 80. Which epression is equivalent to 5 5 + + + + + 5?. In math class, we follow the order of operations when evaluating epressions. Which is the second operation a
More informationALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6
ALGEBRA 1 UNIT 3 WORKBOOK CHAPTER 6 FALL 2014 0 1 Algebra 1 Section 6.1 Notes: Graphing Systems of Equations System of Equations: a set of two or more equations with the same variables, graphed in the
More informationUnit 2 Solving Equations & Inequalities
Coordinate Algebra Unit Solving Equations & Inequalities Name: Date: Unit Review Solve each system of linear equations by the given method. 1. Solve by Substitution: 5y 9 x y. Solve by Substitution: 15y
More informationAlgebra 1 ECA Remediation Diagnostic Homework Review #2
Lesson 1 1. Simplify the expression. (r 6) +10r A1.1.3.1 Algebra 1 ECA Remediation Diagnostic Homework Review # Lesson. Solve the equation. 5x + 4x = 10 +6x + x A1..1 Lesson 3. Solve the equation. 1 +
More informationWarm Up. Unit #1: Basics of Algebra
1) Write an equation of the given points ( 3, 4) & (5, 6) Warm Up 2) Which of the following choices is the Associative Property 1) 4(x + 2) = 4x + 8 2) 4 + 5 = 5 + 4 3) 5 + ( 5) = 0 4) 4 + (3 + 1) = (4
More informationUnit 4: Inequalities. Inequality Symbols. Algebraic Inequality. Compound Inequality. Interval Notation
Section 4.1: Linear Inequalities Section 4.2: Solving Linear Inequalities Section 4.3: Solving Inequalities Applications Section 4.4: Compound Inequalities Section 4.5: Absolute Value Equations and Inequalities
More informationCourse 2 Benchmark Test First Quarter(Chapters 1-2)
Course 2 Benchmark Test First Quarter(Chapters 1-2) 1. The table shows the costs of different size jars of peanut butter. Which of the jars has the lowest unit rate? Comparison Shopping Size Cost 12-oz
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 informationSystems of Equations Unit Five ONE NONE INFINITE
Systems of Equations Unit Five ONE NONE INFINITE Standards: 8.EE.8 Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables
More informationPre-Test. Name Date. 3 3 x 5 5. Solve each equation. 2. 2x x
Pre-Test Name Date 1. The equation 3x 2 4 5 11 is solved as shown. Describe the inverse operations used in each step. 3x 2 4 5 11 Step 1: 3x 2 4 1 4 5 11 1 4 3x 5 15 Step 2: 3x 5 15 3 3 x 5 5 Solve each
More informationImmaculate Heart Academy Summer Math Assignment for Algebra I Honors Course Code: 5130
Immaculate Heart Academy Summer Math Assignment for Algebra I Honors Course Code: 10 LEARN PRACTICE EXCEL You are taking Algebra I Honors in the fall. A mastery of and proficiency in performing the following
More information3.1 NOTES Solving Systems of Linear Equations Graphically
3.1 NOTES Solving Systems of Linear Equations Graphically A system of two linear equations in two variables x and y consist of two equations of the following form: Ax + By = C Equation 1 Dx + Ey = F Equation
More informationGSE Algebra 1. Unit Two Information. Curriculum Map: Reasoning with Linear Equations & Inequalities
GSE Algebra 1 Unit Two Information EOCT Domain & Weight: Equations 30% Curriculum Map: Reasoning with Linear Equations & Inequalities Content Descriptors: Concept 1: Create equations that describe numbers
More informationSolve Linear Systems by Substitution
5.2 Solve Linear Systems by Substitution Systems of linear equations can be used to help determine the best selling price for products and services. Investigate A Class Problem Tools graphing calculator
More informationMAT 111 Final Exam Fall 2013 Name: If solving graphically, sketch a graph and label the solution.
MAT 111 Final Exam Fall 2013 Name: Show all work on test to receive credit. Draw a box around your answer. If solving algebraically, show all steps. If solving graphically, sketch a graph and label the
More informationElementary Algebra SAMPLE Final Examination Fall 2017
Elementary Algebra NAME: SAMPLE Final Examination Fall 2017 You will have 2 hours to complete this exam. You may use a calculator but must show all algebraic work in the space provided to receive full
More informationa. Bob: 7, Bridget: 4, Brian 1 b. Bob: 7, Bridget: 4, Brian 3 c. Bob: 7, Bridget: 14, Brian 3 a. 100 b. 150 c c. 2 d.
Period: Date: K. Williams 8th Grade Year Review: Chapters -4. A neighborhood pool charges $22 for a pool membership plus an additional $2 for each visit to the pool. If Elliot visited the pool 6 times,
More informationLesson 4: Strategies for Solving Simultaneous Equations (Substitution)
Lesson 4: Strategies for Solving Simultaneous Equations (Substitution) Brief Overview of Lesson: In this lesson students explore an alternate strategy for solving simultaneous linear equations known as
More information