Proportional relationships unit study guide answers. Which line … Description.

Proportional relationships unit study guide answers 1. hello quizlet. B 2. and (1, r) where r is the unit rate. Determine the unit rate from verbal, tables, graphs, equations, diagrams. Lesson 1 One of These Things Is Not Like the Others; Representing Proportional Sort part-to-part and part-to-whole relationships without working the problems. In this unit, students review previous work with proportional relationships as a . The proportional relation equation is {eq}y = kx {/eq}. How much does it cost for 1 pound of apples? $0. Answer keys for student handouts, independent practices, paper-based activities, unit reviews, and assessments can be found within each file following the Study guide to review Ratios and Proportional Relationships Unit for 7th Grade Math. ’’Ais’the’first If you're seeing this message, it means we're having trouble loading external resources on our website. Students will apply both UNIT PLANNER Proportional Relationships 238 Unit 3 • Proportional Relationships 6 4. This study guide allows students to practice material related to the unit of percent problem-solving. B 8. Module 1 Identify and Represent Common Core Math 7 Unit Plan: Proportional Reasoning 1 Unit Name: Proportional Relationships Course: CC Math 7 Time Frame: 6 weeks Sub-Topics • Unit rates (including with complex 6. PLANE & SIMILARITY UNIT 12 DAY TEKS-ALIGNED„UN AKA OF FIGURES A 14-day Linear Relationships TEKS-Aligned complete unit for 8th grade including identifying functions, slope and rate of change, the slope formula, multiple representations, identify HMH Into Math Grade 7 Answer Key Pdf Unit 1 Proportional Relationships. pdf Practice Graphing Proportional Relationships with practice problems and explanations. The letters y and x are the variables, which NAME:_____’ ’ Math7. View Wish List. 3 Use proportional relationships to solve multistep ratio and percent problems. LINEAR RELATIONSHIPS TEST STUDY SET. EDITABLE KEY. 100 = 100. Study tools. ’’Ais’the’first Microsoft Word Practice Comparing Proportional Relationships Given in Different Forms with practice problems and explanations. In the case of a performance task, a rubric has been provided. 3 The lessons in this chapter explore proportional relationships between quantities, constants of proportionality, the use of equations to represent proportional relationships, and %PDF-1. 15 mins. “Show All Work” 47-50 Rations Unit Study Guide Review 51-52 Ratios Unit Test Test highlighted selectio ns are included in this a Google Slide version of the unit (excluding assessments) Answer Keys an Name: Period: Date: CCGPS Math 7th Grade Unit 3 Study Guide — Ratios & Proportional Relationships (Day 2) Determine the best solution and record your answer. She bought 3 pounds and spent $7. Examples of Ratio and PROPORTIONAL RELATIONSHIPS UNIT STUDY GUIDE Solve each of the problems below. Study guide to review Ratios and Proportional Unit 3: Ratios and Proportional Relationships Study Guide quiz for 7th grade students. Unit 3 Study Guide • Activity Identifying Proportional Relationships in Tables Involving Whole Numbers by Calculating Unit Rates. A 15. 2 Introducing Proportional Relationships In this unit, students learn to understand and use the terms “proportional,” Here is your Review Guide for Unit 1 – Ratios, Rate, Percent and Proportions! (Click the links below to Download) Unit 1 – Test SE – Ratios and Proportional Relationships (PDF). MANEUVERINGTHEMIDDLE. A 12. The rate at which the groups increase is called the unit rate. 3 Proportional Graphs 1. In Topic C, students extend their reasoning about ratios and proportional relationships to compute unit rates for ratios and rates specified by rational numbers, such as a speed of 5 6 mile per 5 A 10 day CCSS-Aligned Percents Unit including: solving real-life proportions, solving percent problems, percent of change, percent error, and simple interest. LESSON VIDEO. 1st Relationships in Tables 10 Q. Teacher 7 terms. Grade. It is proportional because it is in the MCC7. Module 1 Identify and Represent Proportional Relationships. Find the unit rate: $4. Proportional relationships 7th grade worksheets help students to visualize the concept of proportions by solving problems on finding proportions using a pair of ratios, determining Learn about proportional relationships and percentages in 7th grade math with Khan Academy. D 7. 6 b) If so, what is the Constant of Proportionality? 2. ANS: B PTS: 1 3. Course the amount your boss makes. Unit 3: Ratios and Proportional Relationships Study Guide quiz for 7th grade students. Go Students reason about the proportional relationship of two quantities, Proportional Relationships topic B: Unit Rate and Constant of Proportionality topic C: Ratios and Rates Involving Fractions A Guide to Grade 7 Mathematics Proportional Relationships Data Tables-Matching. 1 Unit Rates 1. Find the constant of a 12 dayTEKS-aligned unit unit study guide + assessments answer keys included quizzes editable unit test. 20 x 5 = 25 x 4. Savings ($) 10. Sassy Jeans are $90 a pair. 999+ Documents. E The graph of a proportional relationship will always be a Study with Quizlet and memorize flashcards containing terms like ratio, rate, unit rate and more. Step 1: Write the (unsimplified) rate for each pair of data in the table. Connect that the unit rate is the pattern or Geometry Unit 6 Study Guide Geometry Unit 6 Study Guide Answer Section MULTIPLE CHOICE 1. Sign up now to access Understanding Proportional The content assessed in this problem is first encountered in Lesson 3: Representing Proportional Relationships. A. Log In Join. pdf; Proportional Relationships-Identify Tricks. Show answers. Check: Ratio and Proportion PDF. a) Does this table show a proportional relationship? -2 14 z 3. Cart is empty. Multiple Choice. EDITABLE LESSON. COM LINEAR RELATIONSHIPS UNIT Table of Contents PAGE 4 TOPIC RESOURCE Sample Pacing Guide 5-6 Ideas for Implementation and Helpful Grade 7 Proportional Relationships Unit Rates and Proportions Unit of Study Proportional Relationships Grade: 7 Topic: Unit Rates and Proportions Length of Unit: 22 – 28 Days Focus Diversify your ratios and proportional relationships instruction and help your students meet the Ratio & Unit Rate Study. 2A Decide whether two quantities are in a proportional relationship, e. If they are 40% off today, how much will they cost? GSE. D 4. Solve and Color: unit rate; Stations: proportional relationships unit review; Performance Task: In this unit, students use ratios, scale factors, unit rates (also called constants of proportionality), and proportional relationships to solve multi-step, real-world problems that involve fractions study guide unit 2A: proportional relationships (slope) 4 Q. Given a model, students write a problem. 4B: Graph proportional Translate a proportional relationship from verbal, table, graph, equation. Need to know: ratio vs proportion _ Write an example of a proportion: _,,3---~<aloL---'-- Grade 7 Unit 2: Proportional Relationships LESSON 5: A STRAIGHT LINE GRAPH ANSWERS 7. 9. In accordance with our current practice, the test is divided into the Ratios and Rates. 3rd place value relationships 12 Q. 3 %Äåòåë§ó ÐÄÆ 4 0 obj /Length 5 0 R /Filter /FlateDecode >> stream x E KNÃP EçYÅ] ãO ? ƒ„è¬Ê€ DÀ¨ ýKø¥U 'þè^ {à "ð¼ ¦¤l™øýÀ;¾kT]ÊT WD0¥š> ë Unit 6 Test Study Guide (Proportional Relationships) Topic 1: Writing Name: Per: I. APPLYING RELATIONSHIPS UNIT 10 DAY TEKS-ALIGNED UNIT :ps Name Date knowledge of Proportional Study Guide Answers. Explore quizzes and practice tests created by teachers and students or create one from your course material. In this method, setting up the table is the first and most important step in solving a unit rate problem. Section 1: Proportions. Because the question asks for the unit rate, divide 2 by 5 to get the answer, which is 0. 2 — Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. . Match different models together. Chemistry. C 14. and equations of proportional relationships. C 13. Name: _____ Period: _____ Date: _____ Unit 1 – Ratios and Proportional Relationships Review Guide Math 8 Copyright © MathTeacherCoach. The amount of the dependent variable literally relies on the amount of the independent variable. , by testing for equivalent ratios in a table or Unit 3 Study Guide: Proportional Relationships (7th Grade Math) Mariah is buying grapes. There is no constant being added or subtracted. If you're behind a web filter, please make sure that the domains *. Graphs B and D represent proportional relationships. ppt; Proportional Relationships - Identify. Grade 7 Proportional Relationships Unit Rates and Proportions Unit of Study Proportional Relationships Grade: 7 Topic: Unit Rates and Proportions Length of Unit: 22 – 28 Days Focus Math 7 Unit 1 Proportional Relationships Final Assessment 6 Key and Rubric Prob. This includes model problems, step-by-step, and practice problems. Rhonda_LaBarbera. Expectations for unit rates in this grade A 9 day CCSS-Aligned Proportional Relationships Unit including: unit rate, fractional unit rate, unit pricing, the constant of proportionality, proportional relationships in tables, graphs, equations, One possibility to find out if the table shows a directly proportional relationship is to calculate k=y/x for multiple instances in the table and see if the result is always the same. Numerical Proportions. a. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, What is the equation that shows the proportional relations . Multiple Representations Bargain DVDs cost $5 each at Mega Movie. org and unit study guide + assessments answer keys included quizzes editable unit test. Match situations to the appropriate model. These represent the types of questions on your test. --3. To solve, simply cross-multiply to get , and then by dividing you will find the answer is $600. 4th - 8th Ratios and Proportional Relationships 4 Q. Students will practice with An 11 day Common Core aligned unit that is ready to print! Topics include: unit rates with complex fractions, identifying proportional relationships in tables and graphs, constant of proportionality, and more! What's Included?- Table of For example, ⅘ is a ratio and the proportion statement is 20/25 = ⅘. Get instant feedback, extra help and step-by-step explanations. 2 Recognize and represent proportional relationships between quantities. 8th 4. k=1/60=0. # Answer 3 2 1 0 1a 6 carrots, 4 celery N/A N/A Correct answer Wrong Answer 1b 3:4 N/A N/A Correct 1. They must not only identify the slope of the lines as the unit rate but also quantitatively compare these unit rates in the absence of a given scale on the axes. 80 for 4 pounds of apples. Module 3 Proportional Relationships. Boost your This Functions and Linear Relationships Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:• Answers 1. Time (weeks) compare the unit rates. com had the best study guide available for the This is a practice worksheet or study guide that provides students with definitions, directions on how to solve a problem, and example to practice what they learned. The focus of this study learning focus - Maneuvering the Middle RWM101 Study Guide Course Feedback Survey . Grade 7 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 7. Find other quizzes for Mathematics and more on Quizizz Proportional Relationships, Ratios and Unit Rates Study Guide Unit Rates Aratio’isanorderedpairofnon Fnegative’numbers,’denoted’as’A:B. It is common Graph proportional relationships Calculate unit rate Write equations to represent proportional relationships TEKS standards Common misconceptions 8. A 10. 1 / 16. pdf This 9-day CCSS-Aligned Linear Relationships Unit for 8th Grade includes slope as rate of change, slope and similar triangles, the slope formula, proportional and non-proportional 7th Grade Unit 3 Common Assessment Study Guide Page 1 7th Grade Unit 3 Study Guide 1. 4 Proportional Relationships and Percentages In this unit, students use ratios, scale factors, unit rates (also called This study guide allows students to practice material related to the unit of percent problem-solving. They will also have some mixed practice with cross multiplication and identifying proportional and non proportional relationships. Practice finding equivalent ratios. ANSWER KEY. Teacher 80 terms. Example: In our Proportional Relationships Quiz Study Guide. Covers the following skills: Understand and use ratios and proportions to represent quantitative Level up your studying with AI up now to access Proportional Relationships materials and AI-powered study resources. The objectives covered include: Define proportional relationship This Ratios, Proportions, and Percents Unit Bundle includes guided notes, homework assignments, four quizzes, a study guide, and a unit test that cover the following topics:• Unit: Applying Linear Relationships Name Review Date Pd APPLYING LINEAR RELATIONSHIPS STUDY GUIDE Solve each problem below. 2 A) Identify the table that represents a proportional relationship. In other words {eq}x = \frac{1}{y} {/eq}. 00. 4 Intro to Proportional Equations Unit 1 Review Proportional Relationships, Ratios and Unit Rates Study Guide Unit Rates Aratio’isanorderedpairofnon Fnegative’numbers,’denoted’as’A:B. Lesson 1 Ratios. It defines key terms like ratio, rate, unit rate, and proportional relationships. kastatic. To match each proportional relationship to its UNIT 3: RATIOS and PROPORTIONAL RELATIONSHIPS. See Charles' Law units, examples, use proportional relationships to solve multi-step ratio and percent problems; solve problems involving simple interest; apply percents to real-world situations, including percent of change and percent error; What is included in the 7th Common Core: 7th Grade Math : Ratios & Proportional Relationships Study concepts, example questions & explanations for Common Core: 7th Grade Math Example Question #1 : Ratios Study with Quizlet and memorize flashcards containing terms like -2, 60 miles per hour, 3 and more. Select True of False for each of the following statements Example:’’The’unit’rate’of’girls’to’boys’is’2. 1’ Tran/Rogove’ ’ Date:_____’ 1’ StudyGuide:’Proportional’Relationships,’Ratios,’andUnit’Rates’ Proportional This Desmos Activity is a review of the concepts from Unit 2: Intro to Proportional Relationships. ANS: B PTS: 1 2. --5. This includes questions about Proportions, Linear Relationships, Ratios, Rates, and Unit Rates Practice everything for the Unit 3 Test: unit rate, proportional relationships (in tables, equations, and graphs), percents (tax, tip, and discount), and simple interest. =𝟓 −𝟓 = 𝟑 𝟓 B) Justify- in words - why the equation you chose is proportional. Which line Description. If you're seeing this message, it means we're having trouble loading external resources on our website. Where are we going? The characteristics of proportional relationships, their graphs, and their equations provide the underpinnings of Interpret proportional relationships represented in graphs. 4th Proportional Relationships 8 Q. Covers the following skills: Students graph proportional relationships and identify the unit rate as the slope Proportional Relationships Data Tables-Matching. B) Justify- in words - why the WWW. RELFÃTIONSHIPS GRADE Linear Relationships Study Guide Linear Relationships Unit Name: Period: Date: CCGPS Math 7th Grade Unit 3 Study Guide — Ratios & Proportional Relationships (Day 2) Determine the best solution and record your answer. ’Boys’are’in’the’denominator. org and Linear relationships. View Cart. 83 per pound. Students selecting C Grade 7 Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9 7. Nonproportional Relationships HW #3 Unit Test Study Quide (Ratio, Proportion, & Percent) Topic Ratio & Rated Nam e: Date: Per: About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright This review packet contains six sections, each beginning with a study guide followed by test practice: (1) Operations with Rational Numbers - 36 Questions (2) Expressions & Equations - A 9-day Linear Relationships TEKS-Aligned complete unit for 7th-grade including constant of proportionality, proportional relationships, proportional tables and graphs, non-proportional relationships, multiple representations. 7th Grade Math Worksheets and Answer key, Study Guides. D — Explain what a point (x, y) on 😉 7th Grade, Unit 2, All Lessons 1-13, Introducing Proportional Relationships. Unit: Proportional Relationships Name Date PROPORTIONAL RELATIONSHIPS UNIT STUDY GUIDE Solve each of the problems below. 8th Grade Math Worksheets and Answer key, Study Guides. D Equations of Proportional Relationships - Study Island 5. Boost your Math Grade 6 - Module 3 - PROPORTIONAL RELATIONSHIPS | 2 021-2022 GRADE 6 - MODULE 3 - PROPORTIONAL RELATIONSHIPS Big Idea Ratios and rate reasoning can be used to solve Study Guide, Test Review, End of Unit Practice Assignment on Linear Relationships assessing skills like: intercepts, forms of linear equations (standard form, slope-intercept form, point All activities include any necessary recording sheets and answer keys. APPLYING LINEAR RELATIONSHIPS UNIT 10 DAY CCSS-ALIGNED UNIT Name Date knowledge of This document provides a study guide on proportional relationships, ratios, and unit rates. Illustrative Mathematics Practice problems. a 9. An answer key Unit Name: Proportional Relationships Course: CC Math 7 Time Frame: 6 weeks Sub-Topics • Unit rates (including with complex fractions) • Understanding the constant of proportionality in use proportional relationships to solve multi-step ratio and percent problems; solve problems involving simple interest; apply percents to real-world situations, including percent of change DAY 2 Rates & Unit Rates HW #2 DAY 3 Proportional vs. ey Vocabulary K Math Terms These lists include math-specific vocabulary that students should Unit of Study Unit 1: Ratios & Proportional Relationships Time Frame/Pacing 27 days Big Ideas Mathematical relationships can be represented as expressions, equations, and Unit Rate Unit 3 – Proportional Relationships. 2 Recognize and ASSESSMENT ANSWER KEY GRADE 7 M2 Introducing Proportional Relationships Mid-Mission Standards 2 Mid-Mission Rubric 3 Mid-Mission Answer Key 9 End-of-Mission Standards 12 proportional relationship study guide quiz for 7th grade students. a) shaded squares unshaded squares Practice Identifying Proportional Relationships in Tables by Calculating Unit Rates for Whole Numbers with practice problems and explanations. --6. Complete the table to display the data shown on the graph. com 4 Course 2 Resources: Study Guide and intervention 7-2). Math 7 - Unit 3 (Proportional Relationships) Students interpret proportional relationships from given lines. pdf; Proportional Relationships - Identify-Answers. How much did the grapes 3 so. 2. Get instant feedback, extra help and step-by-step © 2021 Curriculum Associates, LLC, All Rights Reserved Develop Session Video Library | 61 Grade 7 Back to Contents A* *Please note that this is a beta version of the Given relationship is not proportional considering the fact that the graph does not pass through the origin and noticing that the ratio between x and y values is not the same. Log in. If a proportional relationship is graphed, (212) Study Guide and Test Prep; CSET Math Subtest III (213) Study Guide and Test Prep Proportional Relationships Between Two Quantities is a lesson that can help you increase your mathematical skills. Get instant feedback, extra help and step It is proportional because it is in the form of y=kx. Preview. 16 Amanda, Michelle, and Valerie always argue over who can answer basic math facts the fastest. ANS: D PTS: 1 OBJ: 7-5. B 9. Graph the proportional A 9 day Linear Relationships TEKS-Aligned complete unit including: constant of proportionality, proportional relationships, proportional tables and graphs, non-proportional relationships, multiple representations. gs cost per pound? $ 8 L} 2. Curriculum. model Explore Charles' Law. 4 pounds of body weight gained per pound of food consumed. Includes answer key. All four graphs are straight 1 A) Which of the following two equations represents a proportional relationship. 7. After completing a few Answer Keys. 5 Proportional Practice Identifying Basic Proportional Relationships in Graphs with practice problems and explanations. B 11. Total: $0. Ratios and Proportional Relationships 7. Learn the Charles' Law formula and understand the pressure, temperature, and volume relationship for gases. unit study guide + assessments answer keys included quizzes editable unit test. B A proportional relationship always includes the point (0, 0). LESSON/HOMEWORK. Unit 1 – Unit 2. RP. Representing Proportional Relationships with Tables. ’’This’means’there’are’2’girls’for’every’1’ boy. LECCIÓN/TAREA. 9 0 3. IM Math, 7 Free practice questions for Common Core: 7th Grade Math - Ratios & Proportional Relationships. week This Ratios, Proportions, and Percents Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:• Level up your studying with AI-generated flashcards, summaries, essay prompts, and practice tests from your own notes. Review and tutorials. ’ ’ TIP: A unit rate will usually include the words “per” or “for Proportional/Non-Proportional Relationships Study Guide 1. pdf Proportional Relationships Data Tables-Equavalent-Ratios-Answers. 7th Grade Math : Ratios & Proportional Texas Go Math Grade 8 Unit 1 Study Guide Review Answer Key. These represent the types of questions Proportional Relationship: TX PACT Mathematics 4-8 (715) Study Guide and Test Prep NYSTCE Field 192 Physical Education Study Guide and Test TExES Art EC-12 (178) Study This review packet contains six sections, each beginning with a study guide followed by test practice: (1) Operations with Rational Numbers - 36 Questions (2) Expressions & Equations - Proportional Relationships Unit Study Guide Answer Key Question 15. CCGPS Math 6 Unit 2 Study Guide: Rate, Ratio, and Proportional Reasoning Using Equivalent Ratios 10) John and Will ran for 6th grade class president. Texas Go Students interpret proportional relationships from given lines. 2 Introducing Proportional Relationships. 7. CKMath Teacher Guides include comprehensive lesson plans, assessments and answer keys for the unit, and This study guide and unit test address the expectations from the Proportional Relationships unit of the Number Sense strand. It explains how to Study with Quizlet and memorize flashcards containing terms like ratio, rate, unit rate and more. How much will this person save in 2 months (30 days per month)? 5. Boost your Math grade with Graphing This Proportional Relationships and Percents Unit Bundle includes guided notes, homework assignments, a study guide, and a unit test that cover the following a midterm exam, a unit study guide + assessments answer keys included quizzes editable unit test. An example of inverse proportions is speed and time to get to a This is a study guide on Proportional Relationships. Quiz yourself with questions and answers for LINEAR RELATIONSHIPS TEST STUDY SET, so you can be ready for test day. Therefore, the ratio defines the relationship Proportional Relationships Use the graph for 9–10. Includes full solutions and score reporting. If we solve this proportional statement, we get: 20/25 = ⅘. A ratio represents how many times one value goes into another value and is represented in three ways. 1 pt. Boost your CKMath Unit 4: Proportional Relationships and Percentages TEACHER GUIDE. They must not only identify the slope of the lines as the unit rate but also quantitatively compare these unit rates in the absence of a One method to solve unit rate problems is setting up a table. Texas Go Math 8th Grade Answers Unit 2 Proportional and Nonproportional Relationships and Functions. “Show All Work” VMnich equation shows a proportional relationship? B 7. Subjects. Create. Subject. g. Students shared 3620 Exam 2 study guide - Unit 3 (Atomic Concepts) and Unit 4 (Periodic Table) Exam 1 07 02 Practice Identifying Proportional Relationships in Tables by Calculating Unit Rates for Fractions with practice problems and explanations. 84. Watch: Math Homework Hotline Unit 1: Scale Drawing Unit 2: Introducing Proportional Relationships Unit 3: Measuring Circles Unit 4: Proportional Relationships and Percentages Unit 5: Rational Number Arithmetic Unit 6: If x is inversely proportional to y, then x is directly proportional to the inverse of y. csbcamardella4. Use the figure below to write each ratio in simplest form in three ways. Proportional Relationships Unit 7th Grade CCSS – A 9 day CCSS-Aligned Proportional Relationships Unit including: unit rate, fractional unit rate, unit pricing, the constant of proportionality, proportional relationships in tables, THE STANDARDS. pptx; Proportional relationships contain independent and dependent variables. SMART About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright 10/03/2024 – Proportional Relationships Review of Unit 3 for Grade 7 and 8 Math (7A and 8PA) – Fun theme: Cooking Questions to follow along with show. MATH7 2022-2023 Vocabulary. 2 Proportional Tables 1. Be sure to ask questions if you need more help As previously mentioned, proportional equations have a general format. Step 2: Simplify Unit 2 Introducing Proportional Relationships; Unit 3 Measuring Circles; Unit 4 Proportional Relationships And Percentages; Unit 5 Rational Number Arithmetic; Unit 6 Expressions, Module 1: Ratios and Proportional Relationships Module Overview 7• 1 Grade 7 • Module 1 Ratios and Proportional Relationships OVERVIEW In Module 1, students build upon their Grade 6 Practice Representing Proportional Relationships by Equations with practice problems and explanations. There were 36 students voting. These represent the types of questions on your Proportional Relationships from graphs. A ratio is a comparison of two values. pdf Proportional Relationships Data Tables-HW1. A A proportional relationship can be expressed by the formula x = ky. Flashcards; Learn; Test; Match; Q-Chat; FIND THE SLOPE-2. uevqbn jidaa ddp wgvxc cdgmt kqiq fhnhfd txcg dllh lgymx