Systems of Linear Equations
|
|
- Adela Rich
- 6 years ago
- Views:
Transcription
1 Systems of Linear Equations
2 Some questions (c) 2012 by Region 10 Educational Service Center. Page 2
3 1 The sum of Ken's, k, and Alan's, a, ages is 62. Ken is 31 years older than Alan. 3 The following system of equations is shown below. Which of these systems of equations below best describes the ages of Ken and Alan? A k + a = 61 k = 31 B k + a = 62 a k = 31 C k + a = 62 k a = 31 D k + a = 62 a = k Janie needs to solve the system of linear equations below for her homework assignment. y = 14 x 20 y = x 7 Which of the following is a reasonable estimate of the solution to this system of linear equations? F G H J 2x + 3y = 4 x y = 3 Which of the below is the solution to this system? A ( 13,10) B ( 1,2) C (1, 2) D (2,3) 4 Charlie is making a rectangular picture frame. The height of the frame is 6 inches longer than its width. The perimeter of the frame is 76 inches. Which of these systems of equations below best describes the dimensions of the picture frame? F h + w = 6 h + w = 76 G h w = 6 2h + 2w = 76 H h + w = 6 2h + 2w = 76 J h w = 6 h w = 6 Page 3
4 5 A system of equations is shown below. 3x + 2y = 12 y = x + 1 Which ordered pair below represents the solution to this system of equations? A (1.25,2.25) B (2,3) C (2.2,3.2) D (3,2) 6 The following system of equations is shown below. 4x 2y = 7 3x + 3y = 10 Which of these points below represents the intersection of the equations? F G H J Page 4
5 7 The tables below represent values that correspond to a system of equations. Equation A Equation B What is the solution to this system of equations? A ( 2,6) B (0,2) C ( 1, 5) D (1,0) Page 5
6 8 Ted's Taxi Service has cabs that can seat 4 people each and vans that can seat 15 people each. The taxi service can transport a maximum of 134 people in its 17 units. 9 A total of 1,650 tickets were recently sold at Friday night's football game. Each adult ticket cost $3.50, and each student ticket cost $2.00. The total revenue for ticket sales was $4,650. The system of linear equations below models this situation. x + y = 17 4x + 15y = 134 If x represents the number of cabs at Ted's Taxi Service, and y represents the number of vans at Ted's Taxi Service, which is a reasonable estimate of the solution to this system of linear equations? F Ted owns only one van. Determine a, the number of adult tickets sold, and s, the number of student tickets sold. A 3.50a s = 4,650 a + s = 1, 650 B 350a + 200s = 4,650 a + s = 1,650 C 3.50a s = 1,650 a + s = 4,650 D 350a + 200s = 1,650 a + s = 4,650 G H J Ted owns more vans that cabs. Ted owns more cabs than vans. Ted owns the same number of vans as cabs. Page 6
7 10 Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x 70 y = 2x 32 Which is a reasonable estimate of the solution to this system of linear equations? F (8, 25) G (7, 24) H (5, 22) J (3, 20) Page 7
8 11 Al's Movies charges $7.00 for a membership and $1.00 per each movie rental. Beth's Videos has no membership fee and charges $2.75 per movie rental. The table below shows the movie charges for each store. Number of movies Cost at Al s Movies Cost at Beth s Videos 0 $7.00 $ $8.00 $ $9.00 $ What is the number of videos a customer would need to rent from each store for the cost to be the same? A 3 B 4 C 5 D 6 Page 8
9 12 Cathy wants to use the substitution method to solve this system of equations. 13 Juan correctly found a table of values for each equation in a system of equations, as shown below. The four steps below show how she solved the following system of equations. x + y = 5 2x + 3y = 10 Step 1: y = 5 x Step 2: 2x 15 x = 10 Step 3: x 15 = 10; x = 25 Step 4: y = 5 25; y = 20 In which step did the first error occur? F Step 1 G Step 2 H Step 3 J Step 4 Solutions of 1st equation x y Solutions of 2nd equation x y What is the value of x in the solution to this system of equations? A 0 B 2 C 3 D 5 Page 9
10 14 The table below shoes the rates for two duplicating companies. Quick Copy Copy Place Initial Fee of Initial fee of $5.00 $10.00 $0.06 per page$0.04 per page The total cost, c, is dependent on the number of pages, p, that are duplicated. Which of these systems of equations represents this situation? F p = 5 + 6c p = c G c = 5 + 6p c = p H p = c p = c 15 A college football team scored 12 times in a game, for a total of 72 points. Each touchdown is worth seven points and each field goal is worth three points. Which system of equations below could be used to solve for x, the number of points the team scored from touchdowns, and y, the number of points the team scored from field goals? A x + y = 12 7x + 3y = 72 B x + y = 72 7x + 3y = 12 C D J c = p c = p Page 10
11 16 Angola High School sold three times as many children's tickets as adult tickets for the school play. The total amount collected was $ Children's tickets cost $1.50 each, and adult tickets cost $2.00 each. Which system of equations below could be used to determine c, the number of children's tickets, and a, the number of adult tickets, that were sold? F 1.50a+2c= a+c = G 1.50a+2c = c=a H 1.50c+2a = c = a J 1.50c+2a = a = c 17 Joey collects football cards and baseball cards. He has a total of 160 cards. The number of football cards, f, is 12 more than twice the number of baseball cards, b. Which system of equations below could be used to find out how many football cards and baseball cards Joey has? A f + b = 160 f = 2b + 12 B f = 2b f 12 = 2b C f b = 160 f + b = 2b D f + b = 160 f = 2b 12 Page 11
12 18 Naomi took a 40 question history exam. The exam had only multiplechoice questions and short answer questions. Each multiple choice question was worth one point; each short answer question was worth five points; the whole exam was worth 100 points. Which system of equations below could be used to solve for m, the number of multiple choice questions, and s, the number of short answer questions? F s + m = 40 5s + m = 100 G 5s + m = 40 s + m = 100 H m + s = 40 5m + s = 100 J 5m + s = 40 m + s = 100 Page 12
13 19 What is the value of x in the solution to the system of equations below? 6x + 3y = 13 3x y = 4 A 1 B C D Page 13 BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS ON YOUR ANSWER DOCUMENT STOP
This is a review packet for the entire fall semester of Algebra I at Harrison.
HARRISON HIGH SCHOOL ALGEBRA I Fall Semester Review Packet This is a review packet for the entire fall semester of Algebra I at Harrison. You are receiving it now so that: you will have plenty of time
More information11.3 Solving Linear Systems by Adding or Subtracting
Name Class Date 11.3 Solving Linear Systems by Adding or Subtracting Essential Question: How can you solve a system of linear equations by adding and subtracting? Resource Locker Explore Exploring the
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 informationExpressions & Equations Chapter Questions. 6. What are two different ways to solve equations with fractional distributive property?
Expressions & Equations Chapter Questions 1. Explain how distribution can simplify a problem. 2. What are like terms? 3. How do you combine like terms? 4. What are inverse operations? Name them. 5. How
More information3. Find the area of each rectangle shown below. 4. Simplify the expressions below. 5. If the expression 3a 2 9. is equal to 3, what is the value of d?
Permitted resources: 2018 2019 Algebra 1 Midterm Review FSA Approved calculator Algebra 1 FSA Reference Sheet 1. The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags
More information3. Find the area for each question below. a. (3x 2)(2x + 5) b. 4. Simplify the expressions below. is equal to 1, what is the value of a?
Permitted resources: 2018 2019 Algebra 1 Midterm Review FSA Approved calculator Algebra 1 FSA Reference Sheet 1. The expression 13x + 5 represents the number of marbles you have after shopping at the game
More information5-3B Systems Review Puzzle
5-3B Systems Review Puzzle x + y = 4 x y = -2 2x + y = -4 2x + 3y = 4 2x + y = 1 4x 2y = 6 2x + y = 1 x + y = 1 3x 2y = 4-2x + 2y = -1 x = -2y + 1 4 = x + y y = 2 2x x = y 5 y = 4 + 3x 2x + 1 = y x y =
More informationCoordinate Algebra A Final Exam Review
Class: Date: Coordinate Algebra A Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. Do NOT write on the test. You may use your calculator.
More informationMTH 65-Steiner Exam #1 Review: , , 8.6. Non-Calculator sections: (Solving Systems), Chapter 5 (Operations with Polynomials)
Non-Calculator sections: 4.1-4.3 (Solving Systems), Chapter 5 (Operations with Polynomials) The following problems are examples of the types of problems you might see on the non-calculator section of the
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 informationFinal Exam Study Guide
Algebra 2 Alei - Desert Academy 2011-12 Name: Date: Block: Final Exam Study Guide 1. Which of the properties of real numbers is illustrated below? a + b = b + a 2. Convert 6 yards to inches. 3. How long
More informationReview: Expressions and Equations
Review: Expressions and Equations Expressions Order of Operations Combine Like Terms Distributive Property Equations & Inequalities Graphs and Tables Independent/Dependent Variables Constant: a number
More informationChapter 1 Analytic Geometry
Chapter 1 Analytic Geometry 1. Find the coordinates of the midpoint of the line segment AB whose endpoints are A(5, 4) and B(-3, -4) 2. N (-2, 1) and D (8, 5) are the endpoints of the diameter of a circle.
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 informationChapter 9 Solving Systems of Linear Equations Algebraically
Name: Chapter 9 Solving Systems of Linear Equations Algebraically 9.1 Solving Systems of Linear Equations by Substitution Outcomes: 1. Interpret algebraic reasoning through the study of relations 9. Solve
More informationAlgebra 1 PAP Fall Exam Review
Name: Pd: 2016-2017 Algebra 1 PAP Fall Exam Review 1. A collection of nickels and quarters has a value of $7.30. The value of the quarters is $0.80 less than triple the value of the nickels. Which system
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 informationChapter 6: Systems of Linear Equations and Inequalities
Lesson 6-1: Graphing Sstems of Equations Date: Eample 1: Use the graph to determine whether each sstem is consistent or inconsistent and if it is independent or dependent. a. = 1 and = + 1 b. = 1 and =
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 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 informationNAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6).
Review #11 NAME DATE PER. Review #11 Solving Systems of Equations 1. Write the linear function that includes the points (4, 9) and (-2, -6). 2. The graph of a line that contains the points (-3, 2) and
More informationAlgebra 1R REVIEW (midterm)
Algebra 1R Algebra 1R REVIEW (midterm) Short Answer 1. Find the x- and y-intercepts. 2. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times.
More informationEquations & Inequalities Chapter Questions. 3. What are two different ways to solve equations with fractional distributive property?
Equations & Inequalities Chapter Questions 1. What are inverse operations? Name them. 2. How do you solve equations? 3. What are two different ways to solve equations with fractional distributive property?
More informationApplications of Systems of Equations
Applications of Systems of Equations Procedure for Solving Application Problems. 1. Read the problem carefully. 2. Determine the unknowns and assign variable(s) to them. 3. Set up your equation(s). 4.
More information8 th Grade Domain 2: Algebra and Functions (40%) Sara
8 th Grade Domain 2: Algebra and Functions (40%) 1. Tara creates a budget for her weekly expenses. The graph shows how much money is in the account at different times. Find the slope of the line and tell
More informationPart 1 1 st 6weeks material
Name Date Period Part 1 1 st 6weeks material 1. Write an expression that can be used to determine the number of blocks in the n th figure. 2. Write an expression to represent the sequence below: 5, 8,
More informationAlgebra 1 Keystone Remediation Packet Module 1 Anchor 2
Algebra 1 Keystone Remediation Packet Module 1 Anchor 2 A.1.1.2.1.1 Write, solve, and/or graph linear equations using various methods. A.1.1.2.1.2 Use and/or identify an algebraic property to justify any
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 information7-1 The Distributive Property
1. 7(9 + 3) 2. 7 9 + 7 3; 84 3. (7 + 8)2.2 7 2.2 + 8 2.2; 33 4. (5 + 6)8 5 8 + 6 8; 88 5. You purchase 3 blue notebooks and 2 red notebooks. Each notebook costs $1.30. Use mental math to find the total
More informationVocabulary REVIEW BLOCK y = 1_ 2x x + 4y = x + 3y = y = 2x 1 8. x 3y = 4 9. y = x 2
REVIEW elimination method parallel rational numbers Vocabulary BLOCK 4 solution to a system of linear equations substitution method system of linear equations Lesson 4. ~ Parallel, Intersecting or The
More informationName Algebra 1 Midterm Review Period. = 10 4x e) x ) Solve for y: a) 6x 3y = 12 b) 4y 8x = 16
Name Algebra 1 Date Midterm Review Period 1) Solve each equation: a) x 2x + 2 = 3 b) 5 5 + 9 = 13 c) 64 = 9x +1 d) x 7 2 = 10 4x e) x + 2 3 = 3x 2) Solve for y: a) 6x 3y = 12 b) 4y 8x = 16 3) Solve and
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 informationMath Models Final Exam Review
Final Exam Review, Page of Name Date Period Math Models Final Exam Review A box contains opals, garnets, and pearls. A jewel is selected at random from the box. Find each probability.. P(the jewel is a
More informationUnit 4 Linear Functions
Algebra I: Unit 4 Revised 10/16 Unit 4 Linear Functions Name: 1 P a g e CONTENTS 3.4 Direct Variation 3.5 Arithmetic Sequences 2.3 Consecutive Numbers Unit 4 Assessment #1 (3.4, 3.5, 2.3) 4.1 Graphing
More informationSample. Test Booklet. Subject: MA, Grade: 08 STAAR Grade 8 Math signup at to remove - Student name:
Test Booklet Subject: MA, Grade: 08 STAAR Grade 8 Math 2013 Student name: Author: Texas District: Texas Released Tests Printed: Wednesday January 31, 2018 STAAR GRADE 8 MATHEMATICS REFERENCE MATERIALS
More informationGrade 8. Functions 8.F.1-3. Student Pages
THE NEWARK PUBLIC SCHOOLS THE OFFICE OF MATHEMATICS Grade 8 Functions 8.F.1-3 Student Pages 2012 2012 COMMON CORE CORE STATE STATE STANDARDS ALIGNED ALIGNED MODULES Grade 8 - Lesson 1 Introductory Task
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
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 informationMath 8 Unit 6 Interpreting Graphs
Math 8 Unit 6 Interpreting Graphs Extra Help Schedule: Wednesday, December 12; 7:30am Tuesday, December 18; 7:30am Date Lesson Topic Homework F 12/7 1 Rate of Change Lesson 1 Pages 6 and 7 M 12/10 2 Proportional
More informationAlgebra 1 Fall Final Review
1.) (A.5A) Solve: 3(2x 1) + 12 = 4x + 1 5.) (A.2.) Write the equation of the line below: Y= 2.) (A.5A) Aaron and Kim are bowling. Kim s score Is twice the difference of Aaron s score and 5. The sum of
More informationAlgebra 1 Fall Semester Final Review Name
It is very important that you review for the Algebra Final. Here are a few pieces of information you want to know. Your Final is worth 20% of your overall grade The final covers concepts from the entire
More informationGrade Common Core Math
th 5 Grade Common Core Math Operations and Algebraic Thinking Printable Review Problems Standards Included: -Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with
More informationElementary Algebra SAMPLE Final Examination Spring 2015
Elementary Algebra NAME: SAMPLE Final Examination Spring 2015 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 informationAlgebra I STAAR Practice Test A
Algebra I STAAR Practice Test A 1 What is the value of if (, ) is a solution to the equation 3 1 5 1? A C B 3 D 5 5 A plumber charges $5 for a service call and $15 per hour for repairs. She uses the graph
More informationUnit 5 Review Systems of Linear Equations and Inequalities
Unit 5 Review Systems of Linear Equations and Inequalities Name: Algebra 1B Day 1: Solutions to Systems and Solving by Graphing Warm Up: Determine if the point (2,5) is a solution to each of the systems
More informationNMC Sample Problems: Grade 6
NMC Sample Problems: Grade 6. What is the sum of the greatest common divisor and the least common multiple of 8 and 2? 2 8 66 2 2. Which number is the smallest in the set. { },., 9,,? 9 Answer:. In a pet
More informationName Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Travels in Air. Distance (miles) Time (seconds)
Practice - Rate of Change and Slope Find the slope of each line.... O O O Find the slope of the line that passes through each pair of points.. (, ), (7, 5) 5. (8, ), (, ). (, 5), (, 7) 7. (-, 7), (, -)
More informationDirections. Answering Multiple-Choice Questions. Answering Open-Response Questions
Directions Make sure you have the following materials: Student Answer Sheet the Formula Sheet a pencil and an eraser a ruler a scientific or graphing calculator some paper for rough work for multiple-choice
More information4. The table shows the number of toll booths driven through compared to the cost of using a Toll Tag.
ALGEBRA 1 Fall 2016 Semester Exam Review Name 1. According to the data shown below, which would be the best prediction of the average cost of a -bedroom house in Georgetown in the year 2018? Year Average
More informationLINEAR EQUATIONS Modeling Linear Equations Common Core Standards
E Linear Equations, Lesson 1, Modeling Linear Functions (r. 2018) LINEAR EQUATIONS Modeling Linear Equations Common Core Standards F-BF.A.1 Write a function that describes a relationship between two quantities.
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 informationItem Specification Sheet Algebra I Semester Exam
Item Specification Sheet Algebra I Semester Exam Free Response: 1. Illustrating Mathematical Properties 2. Equations with Infinitely Many Solutions or No Solution 3. Relations and Functions 4. Application
More informationArkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 2008
Arkansas Council of Teachers of Mathematics Algebra I Regional Exam Spring 008 Select the best answer for each of the following questions and mark it on the answer sheet provided. Be sure to read all the
More informationN5 R1.1 Linear Algebra - Revision
N5 R Linear Algebra - Revision This revision pack covers the core linear algebra skills and provides opportunities to apply these skills to standard and challenging exam level questions. This pack is not
More informationName: Date: Lesson 17 Word Problems Day 1
Name: Date: Lesson 17 Word Problems Day 1 Warm Up Foldable Algebraic Expression vs Algebraic Equation Model Problems (a) An example of an algebraic expression is (b) An example of an algebraic expression
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 information8 th Grade Academic: Fall 2014 Semester Exam Review-Part 1
Name Date Period 8 th Grade cademic: Fall 2014 Semester Exam Review-Part 1 1. Four schools,,, C, and D, all played the same number of football games this season. School won 70% of its games. School won
More informationName Date Class. 5 y x + 7
Name Date Class 7.EE.1 SELECTED RESPONSE Select the correct answer. 1. What property allows the expression.7x + 10. + 15.3x 8.x + 15.6 to be simplified to the equivalent expression 0x + 10. 8.x + 15.6?
More information0815AI Common Core State Standards
0815AI Common Core State Standards 1 Given the graph of the line represented by the equation f(x) = 2x + b, if b is increased by 4 units, the graph of the new line would be shifted 4 units 1) right 2)
More informationStandardized Test Practice
Standardized Test Practice Name Date 1. Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation 5 8 to determine how much mone she earns from candle
More informationGrade 7 Mathematics Test Booklet
Student Name P Grade Test Booklet Practice Test TEST BOOKLET SECURITY BARCODE Unit 1 Unit 1 Directions: Today, you will take Unit 1 of the Grade Practice Test. Unit 1 has two sections. In the first section,
More informationAlgebra I Practice Exam
Algebra I This practice assessment represents selected TEKS student expectations for each reporting category. These questions do not represent all the student expectations eligible for assessment. Copyright
More informationName Class Date. Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved.
Practice - Solving Two-Step Equations Solve each equation. Check your answer.. a +. +. b +. 9 + t. a +. -t + Write an equation to model each situation. Then solve.. You want to buy a bouquet of yellow
More informationLinear Functions. Unit 3
Linear Functions Unit 3 Standards: 8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and
More informationMATH 1710 College Algebra Final Exam Review
MATH 1710 College Algebra Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) There were 480 people at a play.
More informationUnit 5 Test Review Systems of Linear Equations Name Class Date
Unit 5 Test Review Systems of Linear Equations Name Class Date Find the mistake - The following problems have been solved HOWEVER there could be a mistake. Each question is worth 3 points: 1pt the mistake,
More informationMath 410 Test 1. Name: Class: Date: Show your work.
Name: Class: Date: Math 40 Test Show your work.. Solve the equation, if possible. Answer no solution if appropriate. Answer R if all real numbers are a solution. 3 y y = y + 3 y =. Solve the equation and
More informationMoving Straight Ahead - Unit Test Review Sheet
Name: Class: Date: ID: A Moving Straight Ahead - Unit Test Review Sheet Short Answer 1. Brent's Video Shack charges $1.50 to rent a video game for a night. Mr. Buck's Entertainments opens a new store in
More informationNAME DATE PERIOD. Graphing Equations in Slope-Intercept Form
NAME DATE PERID 4-1 Skills Practice Graphing Equations in Slope-Intercept Form Write an equation of a line in slope-intercept form with the given slope and -intercept. 1. slope: 5, -intercept: -3. slope:
More informationCOLLEGE PREP CHAPTER 1 REVIEW
Name: date: period: COLLEGE PREP CHAPTER 1 REVIEW SECTION 1.1: You should be able to Determine whether a number is a solution to an equation. Solve linear equations (find a value for a variable that makes
More informationCumulative Test: Units 1-3. Algebra Class Cumulative Test: Units 1-3 Solving Equations, Graphing Equations & Writing Equations
Algebra Class Cumulative Test: Units 1-3 Solving Equations, Graphing Equations & Writing Equations Algebra 1 Exam Answer Sheet Part 1: Multiple Choice - Questions are worth 1 point each.. Multiple Choice
More informationAFDA Review of Equations
Identify the choice that best completes the statement or answers the question. 1. Which expression correctly represents the area of the rectangle above? a. x² + 2 b. 6(x + 2) c. (x + 2)(x + 6) d. 8x 2.
More informationMath5900 Final Review
Math5900 Final Review. Find the formula to predict any term in this sequence and then find the 5 th number in this sequence -,, 9, 5,... Answer: either a n =6 n if you start counting at n=0 OR a n =6 n
More informationGraduation-Required Assessment for Diploma
Graduation-Required Assessment for Diploma Mathematics Test Book 18pt Item Sampler Student responses in this test book must be entered by a scribe into an accommodated test form in the Data Entry Interface.
More informationMath 40 Chapter 2 Lecture Notes. Professor Miguel Ornelas
Math 40 Chapter 2 Lecture Notes Professor Miguel Ornelas 1 M. Ornelas Math 40 Lecture Notes Section 2.1 Section 2.1 Addition and Multiplication Properties of Equality Addition Property of Equality If A
More informationAlgebra I. Administered May 2014 RELEASED
STAAR State of Teas Assessments of Academic Readiness Algebra I Administered Ma 0 RELEASED Copright 0, Teas Education Agenc. All rights reserved. Reproduction of all or portions of this work is prohibited
More informationPRACTICE EXAM UNIT #6: SYSTEMS OF LINEAR INEQUALITIES
_ School: Date: /45 SCAN OR FAX TO: Ms. Stamm (Central Collegiate) stamm.shelly@prairiesouth.ca FAX: (306) 692-6965 PH: (306) 693-4691 PRACTICE EXAM UNIT #6: SYSTEMS OF LINEAR INEQUALITIES Multiple Choice
More informationPractice EOC Questions
Practice EOC Questions 1 One of the events at a high school track meet is the pole vault. The pole vaulter runs toward the crossbar and uses a pole to attempt to vault over the bar. Josh collects data
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 informationScatter plot, Correlation, and Line of Best Fit Exam High School Common Core: Interpret Linear Models
Scatter plot, Correlation, and Line of Best Fit Exam High School Common Core: Interpret Linear Models Created by: Mrs Math 1. A baseball coach graphs some data and finds the line of best fit. The equation
More informationAdditional Exercises 5.1 Form I
Additional Exercises 5.1 Form I Solving Systems of Linear Equations by Graphing Determine whether the given ordered pair is a solution of the system. 1. (5, ) 1. x + y = 7 x y = 3. ( 1, ). x + y = 5 x
More informationOregon Focus on Linear Equations Lesson 1 Answers
Lesson 1 Answers 1. a. Nathan; multiplication b. Subtraction 2. 30 3. 28 4. 40 5. 17 6. 29 7. 21 8. 7 9. 4 10. 33 11. 8 12. 1 13. 5 14. 19 15. 12 16. 15 17. a. 130 5 + 40 8 b. $970 18. a. (11 + 8 + 13)
More informationCHERRY HILL EAST. Algebra 1 Summer Review Packet
CHERRY HILL EAST Algebra 1 Summer Review Packet Welcome to Algebra 1! This summer review assignment is designed for all the students enrolled in Algebra 1 for the next school year. It is designed refresh
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 informationAlgebra 1 Summer Review Packet DUE THE FIRST DAY OF SCHOOL
Name: Algebra 1 Summer Review Packet DUE THE FIRST DAY OF SCHOOL About Algebra 1: Algebra 1 teaches students to think, reason and communicate mathematically. Students use variables to determine solutions
More informationChapter 7: Quadratic Equations
Chapter 7: Quadratic Equations Section 7.1: Solving Quadratic Equations by Factoring Terminology: Quadratic Equation: A polynomial equation of the second degree; the standard form of a basic equation is
More informationMathematics Test Book 1. Grade3
Mathematics Test Book 1 Grade3 May 5 7, 2010 21645 Developed and published by CTB/McGraw-Hill LLC, a subsidiary of The McGraw-Hill Companies, Inc., 20 Ryan Ranch Road, Monterey, California 93940-5703.
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 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 informationCONTINUE. Feeding Information for Boarded Pets. Fed only dry food 5. Fed both wet and dry food 11. Cats. Dogs
1 Feeding Information for Boarded Pets Cats Dogs Total Fed only dry food 5 7 Fed both wet and dry food 11 3 34 Total The table above shows the kinds of foods that are fed to the cats and dogs currently
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 informationIntroduction to Systems of Equations
Systems of Equations 1 Introduction to Systems of Equations Remember, we are finding a point of intersection x 2y 5 2x y 4 1. A golfer scored only 4 s and 5 s in a round of 18 holes. His score was 80.
More informationOn Your Own. Applications. Unit 1. 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars.
Applications 1 p = 7.5n - 55, where n represents the number of car washes and p represents the profit in dollars. 2 t = 0.5 + 2a, where a represents the area of the grass and t represents the time in hours
More information8-3 Writing Equations
Translate each sentence into an equation. 1. The quotient of a number and 3, less 8, is 16. Translate each sentence into an equation. 7. Eighteen more than half a number is 8. 2. Tiffani spent $95 for
More informationAlgebra 1 STAAR EOC Review #7 Reporting Category 4: Linear Equations and Inequalities
Name Class Date RC3 A.07A Algebra 1 STAAR EOC Review #7 Reporting Category 4: Linear Equations and Inequalities 1. Passengers on many commercial flights may make calls from a telephone provided by the
More informationAccelerated Geometry/Algebra 2 Summer Math Packet. Student Information Page
Student Information Page We re so proud of you for taking the time to work on math over the summer! Here are some helpful hints for success: It s ok to have parents and other adults help you! Find a quiet
More informationPatterns and Functions. Write an algebraic expression for each phrase more than twice a number 2. a number divided by 4
- Patterns and Functions -. Plan What You ll Learn To write a function rule To understand relationships of quantities in a function... And Why To find reasonable domain and range for real-world situations,
More informationMathLinks 9 Final Exam Review - M/C and Short Answers
MathLinks 9 Final Exam Review - M/C and Short Answers Record your answers on the answer sheet provided. Sports Events Sports events, such as the Olympic Summer and Winter Games, make use of mathematics.
More informationMidterm Review Packet
Algebra 1 CHAPTER 1 Midterm Review Packet Name Date Match the following with the appropriate property. 1. x y y x A. Distributive Property. 6 u v 6u 1v B. Commutative Property of Multiplication. m n 5
More information2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?
Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference
More information