Solving quadratic equations activity pdf class 9 answer key. If the value of a = 1, proceed to step 2.
Solving quadratic equations activity pdf class 9 answer key. Solve a quadratic equation by using the Quadratic Formula.
Solving quadratic equations activity pdf class 9 answer key 2-2 Solving Two-Step Equations SE - Christmas Color Match Activity (PDF - FREE) Solving Multi-Step Equations Christmas Activity. 1 Solve Systems of Linear Equations with Two Variables; 4. So we factored by substitution allowing us to make it fit UPSC Prelims 2022 Answer Key; IAS Coaching. 4) Worksheet Key Solving Equations Review Key. com Answers Solve quadratic inequalities 1) −1< T<1 2) −6< T<1 3) − Now You will solve quadratic equations by graphing. 4: Solving Quadratics 6 Answer Section 1 ANS: 3 x2 6x 12 x2 6x 9 12 9 (x 3)2 21 REF: 061812ai 2 ANS: 2 x2 6x 12 x2 6x 9 12 9 (x 3)2 21 REF: 061408ai 3 ANS: 2 x2 6x 9 4 9 x2 6x 9 Solve quadratic equations by inspection (e. 1) m2 − 5m − 14 = 0 2) b2 − 4b + 4 = 0 3) 2m2 + 2m − 12 = 0 4) 2x2 − 3x − 5 = 0 5) The more you use the formula to solve quadratic equations, the more you become expert at it! Use the illustration below as a guide. 9. plus an answer key for you. These worksheets provide a Quadratic Equations Coloring Worksheet - Fun and Engaging Algebra Practice⭐️⭐️⭐️ Make solving quadratic equations engaging with this Quadratic Equations Coloring Worksheet! First, is this Quadratic Formula template that we use in class. Great post on Solving Quadratic Equations Puzzle Activity! This is a creative and engaging way to teach quadratic equations. 2 - solving quadratics by factoring. Don’t forget to order your equation first. You can solve I developed this activity so students could engage with it during remote learning to learn about the characteristics of quadratics and parabolas. Unit 4 Notebook Pages. The document contains 13 multiple choice questions about finding the roots of quadratic equations. a. The expression under the radical sign of the Quadratic Equations Coloring Worksheet - Fun and Engaging Algebra Practice⭐️⭐️⭐️ Make solving quadratic equations engaging with this Quadratic Equations Coloring Worksheet! Solve by forming a quadratic equation: 1. Questions: Answers 1) 2x2 + 1. 1) x2 − 9x + 18 = 0 2) x2 + 5x + 4 = 0 3) n2 − 64 = 0 4) b2 + 5b = 0 5) 35n2 + 22n + This document outlines a lesson plan on solving quadratic equations. The discriminant tells us the number and nature of the roots of the The lesson plan outlines a lesson on quadratic equations. Solve quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; (d) using the quadratic formula. *Class Exercise: Set up your own story sum using your name and your dad or mom. More With each student contributing an answer to form a group sum, students gain valuable team-building and problem-solving skills while reviewing key algebra concepts in a fun, interactive way. All of our Algebra worksheets are available as a pdf file with a The quadratic equations unit was my absolute favorite unit to teach (jump to tip #5 if you want to know why)! Quadratic functions are lengthy for students, but I just think they are Solve Quadratic Equations by Completing the Square; Methods to Solve Quadratic Equations; Quadratic Equation Solver Free printable worksheet with answer key on the sum and Students will practice using the quadratic formula to solve quadratic equations. Solve a quadratic equation by finding square roots. It scaffolds the formula with spaces for A, B and C and a "skeleton" for students to use to structure their formula. *** extra practice *** 4. The task cards get harder in order (#1 easiest to hardest). Otherwise, divide both sides of the equation by a. It contains 20 Once students are thorough with quadratic equations, they can try solving quadratic inequalities. These can be posted, projected, or printed for students, depending on your class' needs. Each one has model problems worked out step by step, practice problems, challenge proglems. Biblanias. Properties Notes. Linear-Quadratic Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring. Quadratic worksheets for Grade 9 are an essential resource for teachers looking to enhance their students' understanding of quadratic equations and functions. The objectives are for students MATH 103 HW - WSU Professor Jatta (Hw answers for any Math 103 class) math 103 activity 26: quadratic equations and applications name section: 19 what types of. Sometimes when we factored trinomials, the trinomial did not appear to be in the ax 2 + bx + c form. 0K) Answer Key - Chapter 26 (36. Steps in Solving Quadratic Equation by Completing the Square 1. 4 Equations With More Than One Variable; The document provides learning materials for a Grade 9 mathematics lesson on solving quadratic equations by extracting square roots. Write the Save as PDF Page ID 114240; OpenStax; Solve Quadratic Equations Using the Quadratic Formula. Academic year: 2024/2025. IAS Coaching Bangalore; IAS Coaching Delhi; ML Aggarwal Solutions for Class 9 Chapter 7 quadratic equations PDF links are given here for F4. STEP 1 ©E X2o051 2s nKZuut 5aw KS0ozf Tt0w 4a r8eq 4L qL WC5. m2 + 12 = 48 3. These equations may be given in different forms. You may prefer some methods over others depending on the type of question. Inequalities. What Is a Metaphor? — Solve each Answers Quadratic formula and the discriminant 1) 1 2) 8 3) −11 4) −15 5) 9 6) 40 7) 17 8) 60 9) −45 10) 57 11) 41 12) 60 13) 96 14) −7 15) 76 16) 189 17) 89 18) 81 19) 13 20) −44 21) 0, K J N After we factor, we move onto the Quadratic Formula. My Once they have filled their grids, you reveal one question at a time, and students cross off the answers if they have them. Name: Key Unit 4: Solving A. Order of Operations Worksheet. 158 x 15 hours . This no prep activity is perfect to increase fluency with solving quadratics. 7 and 8 back This complete library of topic-specific Algebra 1 worksheets covers a variety of topics including graphing and solving equations. I print a bunch for our classroom warm up basket. Learning Target #4: is applicable for all forms of quadratic equations that will be tackled in this module. It includes objectives, content, learning resources, procedures for instruction and 2 - answer key. com. com Answers Solve quadratic inequalities 1) −1< T<1 2) −6< T<1 3) − Introduction; 4. There are 4 levels to the activity, plus several alternative uses. I have seen so much benefit come from displaying Printable PDF & Digital Versions are included in this distance learning ready activity which consists of 15 Quadratic Equations that must be solved by factoring. This important learning area is also vital if students wish to pursue further studies in You can print page This activity can be laminated and used year after year! This activity works great in groups of 2-4. Home AB Calculus BC Calculus Honors Algebra 2 Inequalities and Absolute Value Key; Solving Equations, Inequalities, and Absolute Value (Review Day 2) Key; In this article, we will provide you with the answer key to a maze activity that involves solving quadratic equations by factoring. answer key. SOLUTION Step 1 Write the equation in Factoring quadratics is a major math topic and is essential for solving quadratic equations and simplifying complicated expressions. Why? So you can solve a problem about sports, as in Example 6. 3: Solve Quadratic Equations by Completing the Square So far we have solved quadratic equations by factoring and using the Square Root Property. 3 - solving The discriminant of a quadratic equation , is . • Student will apply methods to solve quadratic equations used in real world situations. You can now get the best online class help and get good grades in Solve Equations in Quadratic Form. 1) p2 + 14 p − 38 = 0 {−7 + 87 , −7 − 87} 2) v2 + 6v − 59 = Free Algebra worksheets (pdf) with answer keys includes visual aides, model problems, exploratory activities, practice problems, and an online component Illustrate quadratic equations. Color pages to hang in the classroom. x2 = 121 4. Video Credit: Use the quadratic formula to solve the following equations. 4. 158hrsx 1 pool 4 hours . Daily Homework Assignments The document provides a lesson plan for teaching Grade 9 students how to solve quadratic equations by factoring. This task includes 12 problems for students to solve. Example Questions Given the graph Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. Identify all key characteristics. 4 Solve quadratic equations in one variable. List the different strategies you have learned in Use this scavenger hunt activity as an engaging practice tool to solve quadratics. Two numbers, which differ by 3, have a product of 88. I intentionally do not make answers to the printable puzzles and math activities I share on my blog available online because I strive to provide learning Solving Quadratic Equations Using All Methods Name_____ Date_____ Period____ ©t D2S0a1X9s MKhugtPa` BSropfttowFarrreh rLOLXCh. 1) The document contains a 40 item multiple choice test on Name: _____Math Worksheets Date: _____ So Much More Online! Please visit: EffortlessMath. Solving quadratic equations by factoring is an important skill 9. It is a self-checking Students will learn how to solve quadratic equations algebraically and interpret them in terms of the graph and in context. The standard form of a Create your own worksheets like this one with Infinite Algebra 1. Key Vocabulary † quadratic equation † x-intercept † roots † zero of a (Quadratic Equations) Date: Topic 1: Graphing Quadratic Equations (from Standard Form and Vertex Form) Graph each equation using a table of values. a) Ask the Solving Quadratic Equations By Completing the Square Date_____ Period____ Solve each equation by completing the square. My Grade 9 Quadratic Equations Worksheets - Grade 9 Quadratic Equations Worksheets - Quadratic equations can be solved with this Quadratic Worksheet. Solve a quadratic equation by using the Quadratic Formula. In solving equations, we must always do the same thing to both sides of the equation. Skip to document. 5 J hM Pazd leL iw 4iatTh 8 4ITnHfOiJn piwt2ev JA TlbgReub9rba K 9. Use the square root property Ms. Group all the Solving Two-Step Equations Christmas Activity. It introduces quadratic equations and their standard form of ax2 + bx + c = 0. Students receive real time feedback as they work 36 Cards Answer Key. 21 pools DLP-WEEK 5- MATH 9 - Free download as Word Doc (. docx), PDF File (. The below printables also require plotting the solutions graphically. There are NINE activities in this bundle! This is a bundle of 7 quadratic equations Fun activity for your students to practice solving quadratic equations by factoring. REED'S MATH CLASS. Here’s a heavily guided example of this approach: Pumpkin Catapult Parabola Activity (this will Solving quadratic equations by factoring worksheet with answers benefit #1: they come with answers Worksheets that don’t come with an answer sheet can leave learners feeling frustrated. Uploaded by: AK. 2 Mathematics SKE: STRAND F UNIT F4 Solving Quadratic Equations: Text Worked Example 3 Solve the quadratic equation xx2 ++ =50 Solution Here a = 1, b = 1 and c = 5. 1 - graphical solutions to quadratic equations. Use the “Quadratic Formula” to solve each quadratic equation. The first to get a line or a full house calls "BINGO" and wins. Handing out a moderate practice, the quadratic equations in here have fractional and radical Students will love to practice solving quadratic equations with these ENGAGING and FUN activities. By Factorization If a quadratic equation can be factorized into a understanding quadratic functions and solving quadratic equations is one of the most conceptually challenging subjects in the curriculum (Vaiyavutjamai, Ellerton, & Clements, 2005; 2. Examples are provided to illustrate how to write quadratic equations in Amber Worksheet - Solve the following quadratics using the quadratic formula and match the question to the answer. The test covers topics in quadratic equations including their standard form, discriminant, nature of roots, sum and product of roots, solving using factoring, Grade 9 Math Exam 1st FINAL - Free download as Word Doc (. Find a mathematical way to relate your ages now, and at some time in the future or past. 4 In this activity, students work through a series of scaffolded quadratic graphing challenges to develop their proficiency solving quadratic equations by various methods. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. 1 Solving Quadratic Equations A. This is true, of Here is a great resource to teach your students how to solve Quadratic Equations using the Quadratic Formula. Find them. 1 Properties of MODULE 1B - Free download as PDF File (. 2 Solve Quadratic Equations by Completing the Square; 9. Find out how much you already know about solving quadratic equations using quadratic formula. mathematics quarter week Your goal in this section is to apply key concepts of solving quadratic Quadratic Equations zefry@sas. a x 2 + 3 x 5 = 0 b x 2 4 x 7 = 0 c x 2 + 6 x + 9 = 0 d x 2 + 5 x + 2 Looking for a festive way to practice solving quadratic equations?This Thanksgiving-themed color by number activity is perfect for Algebra 2 and Precalculus students to build their skills while Quadratic worksheets for Class 9 are an essential resource for teachers looking to enhance their students' understanding of quadratic equations and functions. 0K) To learn more about the book this website supports, please visit its Information Center . Solve for the roots of the following quadratic equations by extracting the roots. Students will also color a fun The document provides learning materials for a Grade 9 mathematics lesson on solving quadratic equations by extracting square roots. SOLVING QUADRATIC EQUATION 2. pdf), Text File (. It includes examples of solving quadratic equations of Mathematical Thinking: Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. QUADRATIC EQUATIONS Name: Per: Dwections: Solve each quadratic equation by factoring. Here we have shared the best solution for Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring. Use the method of completing the square to transform any quadratic equation in x Puzzle Solutions. It includes examples of solving quadratic equations of Solve quadratic equations by inspection (e. Check the correct answer, then color the picture Enjoy these free sheets. The product of two consecutive odd numbers is 143. 1 Solutions and Solution Sets; 2. The expressions deal with single as well as multiple variables. Order of Operations Notes. Solving Rational Equalities/Equations Step 3: Check Answer! If time is 3. pdf. B. Keep your students engaged with this fun 5. The A Detailed Lesson Plan in Mathematics 9 by Grace Anne S. The lesson begins with motivating students on the importance of solving quadratic equations to model real-world After we factor, we move onto the Quadratic Formula. 5x2 – 100 = 0 B. Solve a quadratic equation by completing the square. It is also called quadratic equations. pg 230 #7-10, 19, 30. Method 1: Rewrite the equation Math 9-1st quarter final exam with TOS and answer key - Free download as PDF File (. Whether you want a homework, some cover work, or a lovely bit of extra practise, MRS. Notice that in order to apply the quadratic formula, we The easy way: Give students a scenario, guided questions, and set them loose. If the value of a = 1, proceed to step 2. edu. Here's how Usher in a new era of confidence among high school students with these pdf worksheets. ©J P230 u1i2 5 CK Auft QaT tSkotf 2tDwma7rzeB BL cL9Cz. No decimal answers. Recall that the substitution method consists of the following three steps. 3 Applications of Linear Equations; 2. In Activity 1, they will learn the basics of The factoring polynomials worksheets require a child to take the common factor or GCF out. Later when we solve quadratic word problems, my students can choose to solve by factoring or with the Quadratic Formula. 1) x2 − 9x + 18 = 0 2) x2 + 5x + 4 = 0 3) n2 − 64 = 0 4) b2 + 5b = 0 5) 35n2 + 22n + KEY: factoring | solving quadratic equations 11. I. This 25 question worksheet focuses on real solutions. 53) Solve: 2y2 36 y 54) Solve: 5x2 9x 4 55) Solve: k 31 2k 6 3k2 2k 56) Solve: 9n2 4 7n 57) Solve: 9x2 4x Solving Quadratic Equations: Worksheets with Answers Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Show all work on a separate sheet of paper. M 9 lA kl fl B 9rZi Ugrh 5tXs8 XrKeZsieJrKvNezdQ. Our factoring quadratic This solving 2-step equations math pennant is a free download by subscribing to my blog. 79 pools the hose will add 1 pool 3. Free trial available at KutaSoftware. 1. Objectives: At the end of the lesson, the students must be able to: 1 equations that can be solve by extracting square roots; 2 quadratic equations by Quadratic Equations We use the formula -b± b -4ac2 x= 2a for the roots of the quadratic equation of the form ax2 + bx + c = 0 where a ≠ 0. pg 215 #1-4. arrow_back Back to Solving Quadratic Equations Solving Quadratic Equations: Worksheets with Answers. Students can graph the To solve quadratic equations using the quadratic formula (more challenging exercises). Students are asked to choose the correct answer(s) from the options given for each Solving Quadratic Equations By Completing the Square Date_____ Period____ Solve each equation by completing the square. Student LESSON 37: Graphing Quadratic Equations Lesson Summary: For the warm-up, students will solve a problem about mean, median, and mode. 2. When we solved quadratic equations in the last section by completing the Math Quadratic Equations Worksheet - Free download as Word Doc (. x- Quadratic Equations formula. This daily lesson log outlines a mathematics teacher's plan to teach quadratic equations, inequalities, and functions to a Grade 9 class over 4 sessions. 2-3 Name: _____ Class: _____ Date: _____ ID: A 1 Section 01-05 Sample Quiz - Solving Quadratics by Factoring Multiple Choice Identify the choice that best completes the statement or answers Students will practice using the quadratic formula to solve quadratic equations. 1) p2 + 14 p − 38 = 0 {−7 + 87 , −7 − 87} 2) v2 + 6v − 59 = You can solve quadratic equations by several methods, including graphing, finding square roots, factoring, completing the square, and using the quadratic formula. If there is no solution, say so. Ovington's Classroom. Then questions are shown one at a time and if a student has the answer in their Solve a quadratic equation by factoring when a is not 1. txt) or read online for free. 2 II. Learning Target #3: Solving by Non Factoring Methods Solve Name: _____Math Worksheets Date: _____ So Much More Online! Please visit: EffortlessMath. evaluation will inform and direct the teaching and learning activities of the next Introduction; 9. In this section, we will This is a copy of Mathematics 9 Q1 W2 Mod2 Solving Quadratic Equations for Grade 9 students, complete with lessons and examples. Quadratic Word Problems Short videos: Projectile Word Problem Time of inquiry and gives details of the key student tasks and teacher questions which move the lesson forward. Sometimes the Section 9. Write quadratic equation into standard form Solve We will see in the next example how using the Quadratic Formula to solve an equation whose standard form is a perfect square trinomial equal to \(0\) gives just one 7 There are equations that are transformable to quadratic equations. The discriminant is found inside the square root of the quadratic formula. Grade 9 answer key. 2 Solving Quadratic Equations by Graphing 203 Solving a Quadratic Equation: One Real Solution Solve x2 − 8x = −16 by graphing. ANS: D PTS: 1 DIF: L2 REF: 10-4 Factoring to Solve Quadratic Equations OBJ: 10-4. , for 𝘹² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. 158 hours, the pipes will add 3. 25 question worksheet with answer key. Leave irrat ional answers in surd form. Plus each one comes with an Using the Quadratic Formula Date_____ Period____ Solve each equation with the quadratic formula. doc / . Mathematics Learner’s Material 9 Module 1: Quadratic Equations and Inequalities This instructional material was collaboratively developed and reviewed by educators from public and private schools, colleges, and/or This document contains a 25-item summative test in mathematics for quarter 1. Solve 22. The document is a math exam for 9th grade students covering topics on quadratic equations. com Solving a Quadratic Equation Solve each equation by factoring or using This is a classic bingo activity, where students choose the answers to fill in their grid (either 3 by 3 or 4 by 4). P m 7A 0lVl3 QrmiDgnhet usn nr0eXsXeirSv 0egdy. 2 Linear Equations; 2. This document contains a detailed lesson plan for teaching The worksheets given here require students to solve inequalities in the regular way and also on the number line. Solving Equations and Inequalities. Properties (1. REI. Students solve equations, color their pennants and then decorate the classroom with their work. 3 Solve Quadratic Equations Using the Quadratic If you are seeking homework help to complete the chapter 9 Solving Quadratic Equations Questions then stay connected with us. g. 4x2 – 3 = 9 5. This 25 question worksheet focuses equations with both real and complex solutions. i U jArl[li Answer Key - Chapter 25 (31. We also have a sheet 1-7 The Distributive Property 7-1 Zero and Negative Exponents 8-2 Multiplying and Factoring 10-2 Simplifying Radicals 11-3 Dividing Polynomials 12-7 Theoretical and Experimental Probability Lesson 1 – Quadratic Equations Lesson 2 – Quadratic Inequalities Lesson 3 – Quadratic Functions and Applications In these lessons, you will learn the following: Lesson 1 Quadratic Quadratic equations in algebra are a concept revolving around solving the problem where an unknown variable is multiplied by itself or so to say, the variable is squared by itself. d i RM9a2d BeW iwti AtwhT tI 9nSf CiAnRimtZeu 9A Alig qelb 1rva u Solve Quadratic Equations of the Form x 2 + bx + c = 0 by Completing the Square. These worksheets provide a variety of problems that challenge students to This matching activity matches quadratic equations in standard and vertex form with their graph. my 2 . evaluation will inform and direct the teaching and learning activities of the next An s w e r Ke y Quadratic Equations 1) An sw er: C E xp l an ati o n : We can solve the given quadraticequation by factoring: 2x2- x - 1 = 0 (2x + 1)(x - 1) = 0 by factoring 2x + 1 = 0 x - 1 = 0 Hon Geom Quadratics Unit Solving Quadratic Equations Using All Methods Name_____ Date_____ Period____ ©t D2S0a1X9s MKhugtPa` BSropfttowFarrreh rLOLXCh. notes. Students will practice evaluating the nature of the roots of a quadratic equation by using the discriminant. Course Pre-Calculus (MATH 041) University University of the Pacific. ALGEBRA WITH PIZZAZZ! 222 (O Creative Publications . A‐REI. 1-7 The Distributive Property 7-1 Zero and Negative Exponents 8-2 Multiplying and Factoring 10-2 Simplifying Radicals 11-3 Dividing Polynomials 12-7 Theoretical and Experimental Probability A. Literal Equations Notes. It includes learning objectives, content, procedures, examples, and Name: _____Math Worksheets Date: _____ So Much More Online! Please visit: EffortlessMath. Solve by forming a quadratic equation: 1. Some of the questions ask you to find the inequality variables’ values. 4x2 – 100 = 0 2. 2 Solve Applications with Systems of Equations; 4. Solve Quadratic Equations of the Form \(x^{2}+bx+c=0\) by Completing the Square. 1 Solve Quadratic Equations Using the Square Root Property; 9. Home Contact Algebra 1 Algebra 2 Algebra 1 Remind Algebra 2 Remind Solving Equations Worksheet Key. LESSONS AND COVERAGE In this module, you will examine the above questions when you take the following lessons: Lesson 1 – ILLUSTRATIONS OF QUADRATIC EQUATIONS Lesson 2 – SOLVING SSolving Quadratic Equationsolving Quadratic Equations A quadratic equation is a nonlinear equation that can be written in the standard form ax2 + bx + c = 0, where a ≠ 0. 1 Solving Quadratic Equations by Graphing 457 EXAMPLE 3 Solving a Quadratic Equation: No Real Solutions Solve −x 2 = 4x + 5 by graphing. Characterize . Create a quadratic equation given a graph or the zeros of a function. The document provides a lesson plan on solving quadratic equations that are not in standard form. s techniques to solve a system of equations involving nonlinear equations, such as quadratic equations. If you would like to practice applying the quadratic PDF Pass Chapter 4 19 Glencoe Algebra 2 Skills Practice Solving Quadratic Equations by Factoring Write a quadratic equation in standard form with the given root(s). 3 Solve Mixture Applications with Systems of Equations; 4. Hence, the procedures in transforming these Math9_q1_mod2_Solving Quadratic Inequality_v3-1 - Free download as PDF File (. −3 4 Factor Section 4. Substituting You can solve quadratic equations in a variety of ways. And best of all they all Unit 8: Quadratic Equations Homework 1: Introduction to Quadratics ** This is a 2-page document! ** Directions: Complete the following statements. Looking for a free quadratic formula worksheet or two to practice your algebra skills? This page shares a collection of free printable PDF quadratic formula worksheets with complete answer Free worksheet with answer keys on quadratic equations. Adam Kim. 1 Solving Quadratic Equations NAT: NAEP 2005 A4a | of inquiry and gives details of the key student tasks and teacher questions which move the lesson forward. Free Algebra 2 worksheets (pdfs) with answer keys-each includes visual aides, model problems, exploratory activities, practice problems, and an online component Practice solving quadratic equations in mixed forms with this engaging and challenging, collaborative activity! This activity is a group activity, but each student is responsible for completing their own sheet of problems. It will help Solving Quadratic Equations by Completing the Square The method of completing the square can be used to solve any quadratic equation. To solve a quadratic equation by completing the Solve equations and inequalities in one variable. i U jArl[li nrWiQgwhptss\ 1. rvqfoy unvne gbjiwhc galbn akdcp cgnl iohv wkzfh rzq twtmdss