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Algebra Word Problems Worksheets: Mastering the Art of Problem Solving
Author: Dr. Emily Carter, PhD in Mathematics Education, Professor of Mathematics at the University of California, Berkeley. Dr. Carter has over 20 years of experience in developing and implementing effective math curricula, specializing in algebra instruction and problem-solving strategies.
Publisher: Edutopia Press, a leading publisher of educational resources known for its high-quality content and commitment to evidence-based teaching practices. Edutopia Press has a strong reputation for creating materials that are both engaging and rigorous.
Editor: Sarah Chen, MA in Educational Technology, experienced editor with over 10 years experience in developing and refining educational materials for K-12 students.
Keywords: algebra word problems worksheets, algebra problems, word problems worksheets, math worksheets, algebra practice, problem-solving skills, algebra word problems solutions, printable worksheets, algebra exercises, mathematics worksheets, free algebra worksheets, algebra I worksheets, algebra II worksheets.
Introduction: The Importance of Algebra Word Problems Worksheets
Algebra is a fundamental branch of mathematics, forming the cornerstone for numerous advanced mathematical concepts and applications in various fields like science, engineering, and finance. While mastering algebraic equations and manipulations is essential, the ability to translate real-world scenarios into mathematical expressions and solve them is equally crucial. This is where algebra word problems worksheets come into play. These worksheets serve as invaluable tools for students to practice translating verbal descriptions into algebraic equations and subsequently solving them. Effective algebra word problems worksheets are not simply exercises in computation; they are instruments for developing crucial problem-solving skills, critical thinking, and logical reasoning – skills that extend far beyond the realm of mathematics.
The Structure and Design of Effective Algebra Word Problems Worksheets
A well-designed algebra word problems worksheet should progressively increase in complexity. It should begin with simpler problems that focus on fundamental algebraic concepts, gradually introducing more challenging scenarios requiring multiple steps and the application of diverse problem-solving strategies. The structure of the worksheet is critical:
Clear and Concise Problem Statements: Ambiguity should be avoided. Problems should be clearly stated, using precise language and avoiding jargon. Visual aids, such as diagrams or illustrations, can significantly improve comprehension, especially for younger students.
Varied Problem Types: The worksheet should include a range of problem types, ensuring students encounter different algebraic concepts and techniques. This variety reinforces understanding and prevents rote learning. Examples include age problems, distance-rate-time problems, mixture problems, and work problems.
Gradual Increase in Difficulty: Problems should be sequenced from simple to complex, allowing students to build confidence and mastery before tackling more challenging tasks. This approach helps prevent frustration and fosters a positive learning experience.
Space for Solutions: Ample space should be provided for students to show their work, promoting organized thinking and allowing teachers to easily identify areas where students struggle.
Answer Key (Ideally Separately Provided): An answer key is crucial for self-assessment and independent learning. However, providing it separately encourages students to attempt the problems first before consulting the solutions.
Benefits of Using Algebra Word Problems Worksheets
The use of algebra word problems worksheets offers several key benefits:
Improved Problem-Solving Skills: Regular practice with these worksheets hones students' ability to break down complex problems into smaller, manageable parts. They learn to identify relevant information, translate it into algebraic expressions, and apply appropriate solution strategies.
Enhanced Critical Thinking: Solving word problems requires careful analysis of the given information and the identification of relationships between variables. This process strengthens critical thinking and analytical skills.
Increased Confidence and Mastery: Success in solving word problems boosts students' confidence in their mathematical abilities. The gradual increase in difficulty fosters a sense of accomplishment and encourages persistence.
Better Understanding of Real-World Applications: Word problems connect abstract algebraic concepts to real-world scenarios, demonstrating their practical relevance and usefulness.
Preparation for Standardized Tests: Many standardized tests include a significant number of word problems. Regular practice with algebra word problems worksheets prepares students for these assessments and helps them perform better.
Types of Algebra Word Problems Worksheets
Algebra word problems worksheets can be categorized into various types based on the algebraic concepts they cover:
Linear Equations: These worksheets focus on problems involving linear equations, requiring students to solve for a single unknown variable.
Systems of Linear Equations: These worksheets involve problems with two or more unknown variables, requiring the application of techniques like substitution or elimination.
Quadratic Equations: These worksheets delve into problems involving quadratic equations, often requiring the use of factoring or the quadratic formula.
Inequalities: These worksheets deal with problems involving inequalities, requiring students to find the range of values that satisfy a given condition.
Mixed Problems: These worksheets combine problems from different algebraic areas, providing a comprehensive review and assessment of the student's understanding.
Finding and Utilizing Algebra Word Problems Worksheets
Numerous resources are available for obtaining algebra word problems worksheets. These include online databases, educational websites, textbook resources, and commercial workbooks. When choosing worksheets, consider the following factors:
Alignment with Curriculum: Ensure the worksheets align with the specific curriculum and learning objectives.
Difficulty Level: Select worksheets appropriate for the students' skill level.
Variety of Problem Types: Choose worksheets that offer a diverse range of problem types.
Clarity and Accuracy: Ensure the problems are clearly stated and the answers are accurate.
Conclusion
Algebra word problems worksheets are indispensable tools for enhancing students' understanding of algebra and developing their problem-solving skills. By incorporating these worksheets into their learning, students gain not only a deeper grasp of algebraic concepts but also cultivate crucial critical thinking and analytical abilities that are valuable in various aspects of life. The careful selection and effective utilization of algebra word problems worksheets are key to fostering success in algebra and beyond.
FAQs
1. Are algebra word problems worksheets suitable for all learning levels? Yes, worksheets can be adapted to various skill levels, from beginner to advanced.
2. Where can I find free algebra word problems worksheets? Many websites offer free printable worksheets, including educational platforms and teacher resource sites.
3. How often should students use algebra word problems worksheets? Regular practice is key; a consistent schedule, such as a few problems per day or a worksheet per week, is recommended.
4. How can I make algebra word problems worksheets more engaging? Incorporate real-world contexts, use visual aids, and encourage collaborative problem-solving.
5. What if students struggle with a specific type of algebra word problem? Provide extra support and targeted practice on that particular problem type.
6. Can algebra word problems worksheets be used for assessment? Yes, they can be used as a formative assessment to track student progress and identify areas needing improvement.
7. Are there any online tools to create customized algebra word problems worksheets? Yes, several online platforms offer tools to generate customized worksheets.
8. How can I differentiate algebra word problems worksheets for students with different learning styles? Offer various formats, including visual, auditory, and kinesthetic options.
9. What resources are available to help teachers effectively teach algebra word problems? Professional development workshops, online resources, and collaborative teacher communities can provide support.
Related Articles:
1. Solving Age Word Problems Using Algebra: This article focuses specifically on strategies for solving age-related word problems using algebraic equations.
2. Mastering Distance-Rate-Time Word Problems: This article provides a comprehensive guide to solving distance, rate, and time problems using algebraic techniques.
3. Mixture Problems in Algebra: A Step-by-Step Guide: This article explains the various types of mixture problems and provides step-by-step solutions using algebra.
4. Work Problems in Algebra: Understanding Rates and Time: This article tackles work problems, focusing on how to represent rates and time algebraically and solve for unknowns.
5. Algebra Word Problems for Beginners: This article provides simple and easy-to-understand algebra word problems for students just starting to learn.
6. Advanced Algebra Word Problems: Challenging Your Skills: This article provides more difficult algebra word problems designed to challenge more advanced students.
7. Using Diagrams to Solve Algebra Word Problems: This article emphasizes the use of visual aids to improve problem-solving techniques.
8. Common Mistakes to Avoid When Solving Algebra Word Problems: This article identifies frequent errors students make when solving word problems and how to overcome them.
9. The Role of Algebra Word Problems in Developing Mathematical Literacy: This article explores the broader impact of word problems on overall mathematical understanding and literacy.
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| algebra word problems worksheets: Word Problems, Grade 7 , 2013-12-02 Spectrum(R) Word Problems for grade 7 includes practice for essential math skills, such as real world applications, multi-step word problems, variables, ratio and proportion, perimeter, area and volume, percents, statistics and more. Spectrum(R) Word Problems supplement to classroom work and proficiency test preparation. The series provides examples of how the math skills students learn in school apply to everyday life with challenging, multi-step word problems. It features practice with word problems that are an essential part of the Common Core State Standards. Word problem practice is provided for essential math skills, such as fractions, decimals, percents, metric and customary measurement, graphs and probability, and preparing for algebra and more. |
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| algebra word problems worksheets: Open Middle Math Robert Kaplinsky, 2023-10-10 This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking. |
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| algebra word problems worksheets: Grade 1 Word Problems Kumon Publishing, 2008-06 Word Problems, Grade 1 is in the 'Kumon Math Workbooks: Word Problems' series designed for grades 1-6. This workbook will introduce students to word problems dealing with early addition and subtraction. Exercises use visual illustrations before moving on to problems with illustrations and questions that are only written. Designed for students to self-score their work, pages provide the number of points to assign per problem, and there's room at the top to write in how many problems they got right alongside their name and the date. |
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| algebra word problems worksheets: Algebra Bob Krech, Joan Novelli, 2009-10 These mad lib-style worksheets are instant math motivators! Each hilarious fill-in story gives kids a fun way to practice solving word problems and build an understanding of algebraic concepts. Skill topics correlate to the NCTM standards and include creating and analyzing repeating and growing patterns, representing patterns with drawings and graphs; using variables; expressions; formulas; equations; and properties. Perfect for partner and small-group learning, day starters, or homework. For use with Grades 4-6. |
| algebra word problems worksheets: 100 Word Problems : Grade 3 Math Workbook BrainChimp, 2013-06-01 100 Word Problems: Grade 3 Math Workbook is an exclusive BrainChimp book packed with carefully selected exercises to stimulate your child's Brain and develop a keen interest in the practical application of Math skills. These Math Word Problems help children practice and reinforce the essential math skills they learn in school. Regular targeted practice is a proven method of helping children reach their maximum potential and perform better on important standardized tests. The aim of this book is to develop logic and reasoning skills while building better math problem-solving skills and improving self-confidence. The BrainChimp series of books are designed to stimulate the minds of children and empower them with the skills to be more successful in school and beyond. Answer Key is included to measure progress and guide practice. Features: - Word Problems for children Grade-3 (Ages 8-9). - 100 carefully selected word problems. - Detailed Answers in a separate Answer Key Section. - Work area for every problem to work out the solutions. Skills Covered: - Addition - Subtraction - Multiplication - Division - Geometry - Money - Time - Fractions - Decimals - Logic - And much more |
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| algebra word problems worksheets: College Algebra Jay Abramson, 2018-01-07 College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory |
| algebra word problems worksheets: Amusement Park Word Problems Starring Pre-Algebra Rebecca Wingard-Nelson, 2009-01-01 Pre-algebra word problems become a snap with fun amusement park examples. Readers learn how to figure out if they have enough information, how to read and understand any word problem, and more with this fully-illustrated book. Once they understand pre-algebra word problems, tests and homework are a breeze. |
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| algebra word problems worksheets: Word Problems Carson-Dellosa Publishing Staff, 2005-01-24 Math 2 Master Word Problemsprovides children in grade 4, who are struggling with these concepts, additional instruction and practice. This 32 page workbook features easy-to-understand directions, examples, and strategies with colorful pages and a complete answer key. The first of its kind! OurMath 2 Master seriesoffers children in grades 3 to 6 instruction and practice in specific math skills and concepts. Featuring 12 titles that cover key mathematical concepts that children struggle with including fractions, decimals, percents, algebra, and geometry. This series helps children develop confidence and the skills needed to succeed in the classroom! |
| algebra word problems worksheets: Algebra: Word Problems Vol. 2 Gr. 3-5 Nat Reed, 2013-05-01 **This is the chapter slice Word Problems Vol. 2 Gr. 3-5 from the full lesson plan Algebra** For grades 3-5, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 5 Gr. PK-2 Nat Reed, 2015-01-01 **This is the chapter slice Word Problems Vol. 5 Gr. PK-2 from the full lesson plan Algebra** For grades PK-2, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 1 Gr. 3-5 Nat Reed, 2013-05-01 **This is the chapter slice Word Problems Vol. 1 Gr. 3-5 from the full lesson plan Algebra** For grades 3-5, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 1 Gr. PK-2 Nat Reed, 2015-01-01 **This is the chapter slice Word Problems Vol. 1 Gr. PK-2 from the full lesson plan Algebra** For grades PK-2, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 3 Gr. 3-5 Nat Reed, 2013-05-01 **This is the chapter slice Word Problems Vol. 3 Gr. 3-5 from the full lesson plan Algebra** For grades 3-5, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 5 Gr. 3-5 Nat Reed, 2013-05-01 **This is the chapter slice Word Problems Vol. 5 Gr. 3-5 from the full lesson plan Algebra** For grades 3-5, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Punchline: Bridge to Algebra Steve Marcy, 2000-09-01 |
| algebra word problems worksheets: Algebra: Word Problems Vol. 4 Gr. PK-2 Nat Reed, 2015-01-01 **This is the chapter slice Word Problems Vol. 4 Gr. PK-2 from the full lesson plan Algebra** For grades PK-2, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 3 Gr. PK-2 Nat Reed, 2015-01-01 **This is the chapter slice Word Problems Vol. 3 Gr. PK-2 from the full lesson plan Algebra** For grades PK-2, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 4 Gr. 3-5 Nat Reed, 2013-05-01 **This is the chapter slice Word Problems Vol. 4 Gr. 3-5 from the full lesson plan Algebra** For grades 3-5, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Algebra: Word Problems Vol. 2 Gr. PK-2 Nat Reed, 2015-01-01 **This is the chapter slice Word Problems Vol. 2 Gr. PK-2 from the full lesson plan Algebra** For grades PK-2, our resource meets the algebraic concepts addressed by the NCTM standards and encourages the students to learn and review the concepts in unique ways. Each task sheet is organized around a central problem taken from real-life experiences of the students. The pages of this resource contain a variety in terms of levels of difficulty and content to provide students with a variety of differentiated learning opportunities. Included are opportunities for problem-solving, patterning, algebraic graphing, equations and determining averages. The task sheets offer space for reflection, and opportunity for the appropriate use of technology. Also contained are assessment and standards rubrics, review sheets, color activity posters and bonus worksheets. All of our content meets the Common Core State Standards and are written to Bloom's Taxonomy, STEM, and NCTM standards. |
| algebra word problems worksheets: Math Measurement Word Problems Rebecca Wingard-Nelson, 2013-09 Presents a step-by-step guide to understanding word problems with math measurement--Provided by publisher. |
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Algebra is the branch of mathematics that represents problems in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, …
How to Understand Algebra (with Pictures) - wikiHow
Mar 18, 2025 · Algebra is a system of manipulating numbers and operations to try to solve problems. When you learn algebra, you will learn the rules to follow for solving problems. But …
What is Algebra? - BYJU'S
Algebra is one of the oldest branches in the history of mathematics that deals with number theory, geometry, and analysis. The definition of algebra sometimes states that the study of the …
Algebra in Math - Definition, Branches, Basics and Examples
Apr 7, 2025 · This section covers key algebra concepts, including expressions, equations, operations, and methods for solving linear and quadratic equations, along with polynomials …
Algebra - Simple English Wikipedia, the free encyclopedia
People who do algebra use the rules of numbers and mathematical operations used on numbers. The simplest are adding, subtracting, multiplying, and dividing. More advanced operations …
OpenAlgebra.com: Free Algebra Study Guide & Video Tutorials
Free algebra tutorial and help. Notes, videos, steps. Solve and simplify linear, quadratic, polynomial, and rational expressions and equations.
