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#### Example problem pair linear equations

A worksheet with example problem pairs on solving linear equations

#### Solving equations and simultaneous equations progression test. INCLUDES ANSWER KEY.

Here are 8 different exercises on Solving equations and simultaneous equations that can be used as a progression test ( total marks: 50) or as a practice worksheet. It includes: Simultaneous equations. Solving equations graphically and algebraically. Word problems. Simplification of expressions. Solving quadratic equations graphically and algebraically. Solving equations by trial and improvement. ANSWER KEY. I hope you find it useful. Please rate so I can improve as I go on!

#### Circle theorem and algebra

Few questions I wrote where students have to set up and solve equations, using their knowledge of circle theorems. Please note on the handwritten sheet, I made a mistake. One of the cyclic quadrilaterals and simultaneous equations does not work, the equations are parallel. I usually sell it as “I have made one deliberate mistake”

#### Quadratic Equation (factorising and formula)

Series of questions and activities on solving quadratic equations.

#### Sequences and Equations (Quadratic Linear) Problem Solving

A series of questions I wrote testing students understanding of linear and quadratic sequences. Some difficult problems for those students aiming for grades 7+

#### Negative and Fractional indices

Series of slides, questions/examples/starters I have used recently on negative/fractional indices. You might just want some questions for a bit of practice.

#### Solving Equations: One-Step (Fluency - Perimeter)

Solving equations, with one step of algebraic manipulation required to discover the unknown. Covers negative number work, perimeter and problem solving question. Suitable for KS2, KS3 and KS4. Can be displayed on the board or printed as a worksheet.

#### Solving Equations: Two step (Fluency - Perimeter, Mean and Interior Angles)

Solving equations, with two steps of algebraic manipulation required to discover the unknown. Covers negative number work, perimeter, mean and the sum of interior angles. Suitable for KS2, KS3 and KS4. Can be displayed on the board or printed as a worksheet.

#### Bundle Math Literacy Year 5 Planning Algebra Aesop Cloze Test

A great bundle. Please check my shop for individual details.

#### Rearranging formulae worksheets (with solutions)

Three worksheets on rearranging formulae to change the subject. Detailed solutions are provided. Good for GCSE/IGCSE students.

#### Cluedo - Mixed Revision

Adapted resource from @danwalker (https://www.tes.com/teaching-resource/algebra-cluedo-6339269) Questions on Mixed topics in maths.

#### 20 Solving Linear Equations Worksheets

A series of worksheets on Linear equations. Bank A - Positive integer solutions Bank B - Positive and negative integer solutions Bank C - Positive and negative fractional solutions. Worksheets are designed to allow students to develop their retention of the topic. Could be used as starters, main activity, homeworks or revision.

#### GCSE 9-1 Algebra Questions (Bundle)

These carefully selected compilations of exam questions have fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/…/Exam Question Bundles… to download the other four bundles.&lt;hr&gt;I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do focused independent study on a topic.&lt;hr&gt;👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page doesn’t work, then go to your ratings page by clicking 👉 www.tes.com/…/rate-resources…

#### ALGEBRA: SOLVING QUADRATIC EQUATIONS

A well designed presentation to make clear how to solve quadratic equations. There are different type of examples that use different type of solutions such as: 1. Factorizing method, 2. Common factor, 3. Quadratic formula. Also this resource includes a worksheet with** 50 questions and all with solutions **that will make sure the students understood how to solve the quadratic equations. Please feel free to make a command on this resource.

#### A2 Algebra Unit

Unit includes 9 lesson presentations (each including at least 1 worksheet), a folder of 4 homeworks and an end of unit test

#### A2 - Algebra End of unit Test

Algebra end of unit test based on the A2 lessons Includes simplifying, expanding, factorising, substitution, quadratics, problem solving at various difficulty levels 17 questions altogether most including sub-questions

#### A2 - Collection of homeworks for Algebra module

Collection of homeworks for Algebra module Change the subject Factorising quadratics x 2 Substitution worksheet

#### A2.9 Solve problems involving quadratics

Presentation includes Warm up - enlargement using algrebraic lengths Key words, Objectives, Outcomes Area example Questions (practive solving quadratics, problem solving) Differentiated worksheets WWW/EBI Worksheets Algebraic area (green) Using quadratics (yellow) Solving quadratics (red)

#### A2.5 Changing the subject

Presentation includes: Warm up Key words, objectives and outcomes Three examples Matching question to answer activity Five further difficult examples Tasks and extension Changing the subject with factorising 2 examples Quick check 1 questions each (green, yellow, red) WWW/EBI Plenary - completing sentences Worksheet: Changing the subject (127 varied questions) - could use for lesson or homework

#### Rearranging and solving equations

This bundle contains an introduction for rearranging and solving linear equations before moving onto solving equations with brackets, fractions, decimals and indices. Perfect for a mid set year 10 class or year 11 revision!

#### Solving two step equations using inverse operations

A complete lesson on solving two step equations using inverse operations. Does include some decimals, as I wanted to give a more complete example set and make it hard for pupils to just use trial and error to find solutions. As such, I would let pupils use calculators. Activities included: Starter: A set of questions to check that pupils can evaluate two step expressions like 2x+3, given a value of x Main: A prompt to discuss the differences between two equations (a one step and a two step with the same solution), to get pupils thinking about how they could approach the latter. Examples and a set of questions on using inverse operations to reverse a two step flowchart and solve its corresponding equation. These have been deigned to further reinforce the importance of BIDMAS when interpreting an algebraic expression, so the emphasis is on quality not quantity of questions. A more challenging task of pupils trying to make an equation with a certain solution. Designed to be extendable to pupils looking for generalistions. Plenary: A prompt to discuss a few less obvious one-step equations (eg x+8+3=20) Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

#### Solving equations using inverse operations

A complete lesson on solving one step equations using inverse operations. Does include some decimals, as I wanted to give a more complete example set and make it hard for pupils to just use trial and error to find solutions. As such, I would let pupils use calculators. Activities included: Starter: A short task where pupils match up simple one step ‘flll the blank’ statements, flow charts and equations. Then a prompt for them to discuss the solutions to these equations. I would expect them to at least know that to solve means finding numbers that make the equation true, and even if they have no prior knowledge of solving methods, they could verify that a given number was a solution to an equation. See my other resources for a lesson on introducing equations. Main: Some diagnostic questions to be used as mini whiteboard questions, where pupils turn one step equations into flow charts. Examples and a set of questions on using inverse operations to reverse a flowchart and solve its corresponding equation. A more open ended task of pupils creating their own questions, plus an extension task of creating equations with the largest possible answer, given certain criteria. Plenary: A prompt to discuss an example of an equation that can’t be solved using inverse operations. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

#### Introducing equations

A complete lesson designed to introduce the concept of an equation. Touches on different equation types but doesn’t go into any solving methods. Instead, pupils use substitution to verify that numbers satisfy equations, and are therefore solutions. As such, the lesson does require pupils to be able to substitute into simple expressions. Activities included: Starter: A set of questions to check that pupils can evaluate expressions Main: Examples of ‘fill the blank’ statements represented as equations, and a definition of the words solve and solution. Examples and a worksheet on the theme of checking if solutions to equations are correct, by substituting. A few slides showing some variations of equations using carefully selected examples, including an equation with no solutions, an equation with infinite solutions, simultaneous equations and an identity. A sometimes, always never activity inspired by a similar one form the standards unit (but simplified so that no solving techniques are required). I’d use the pupils’ work on this last task as a basis for a plenary, possibly pupils discussing each other’s work. Printable worksheets and answers included. Please review if you buy as any feedback is appreciated!

#### Continuing and generating sequences lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples Investigation tasks AfL quick fire questions Afl misconception questions AfL whiteboards Questions and solutions Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Simultaneous quadratic equations lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples Investigation tasks AfL quick fire questions AfL whiteboards Questions and solutions Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Linear equations (introduction) worksheet (with solutions)

An introductory worksheet on solving linear equations using the method of inverses. Detailed solutions are provided.

#### Medieval Maths Bundle

algebra addition subtraction multiplication mean

#### Medieval Maths - Algebra

Great to bolster progress for catch up, intervention, exam prep, numeracy and cover. The pack also contains teacher answers

#### Simultaneous equations elimination method lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples Investigation tasks AfL whiteboards Questions and solutions Accessible for lower ability and challenge high ability Plenary FUSE Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Worded Simultaneous Equations

For my top-top students, I like to set challenging worded simultaneous equations questions. If you’re looking for a challenge for your students, let them try these questions. Answers are at the bottom. Please let me know if you like this worksheet.

#### Simultaneous equations graphically

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL whiteboard Match up activity Graphs Investigation activity Accessible for lower ability and challenge high ability Plenary FUSE Please leave a review For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Investigations of simultaneous equations

Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Linear equations worksheet no 3 (with solutions)

A worksheet on solving linear equations including the cases with equations with the variable on both sites, equations with brackets and equations with fractions. Detailed solutions are included.

#### Infinite Worksheet - Algebra GYM

20 question worksheet covering all of the ALGEBRA topics Ideal as a starter or for form time Students copying from each other? Give each students their own bespoke worksheet. All have same question type with different values. Answers to all questions provided on separate answer sheet. Press F9 to change all the values in each question

#### BIDMAS Worksheets - Editable

BIDMAS Worksheets. Useful for cover work or extension task. Complicated resource- teacher assisted, class or partner work. Microsoft Word Document - Editable. Time: 10 - 20 Miniutes Approx. Pages: 5 Questions: 11

#### Solving Algebraic Equations - KS3 - KS4

A teaching resource useful for an activity where pupils find what x is. The Worksheet contains 63 numerical questions and 14 word equations. The answers are fully included and a sheet that shows pupils how to work out equations. The resource contains 5 pages: First page: Explains to pupils how to work out equations in a student friendly way. Second page: Includes 20 easy, medium and hard numerical equations with 3 extension questions which cause students to think more. Third page: Includes every answer for the numerical questions. Fourth page: Includes 4 easy, medium and hard word equations with 2 extension questions. Fifth page: Includes the answers to every word equation with every equation that could be made. Pages are in publisher form and PDF. The PDF file is ideal and ready for printing. Feel free to contact me on my email: maksymilianmanowski@gmail.com to point out anything

#### Rearranging formulae worksheets with detailed solutions

Four worksheets on rearranging formulae to change the subject including easy and harder exercises. Good for GCSE/IGCSE students. Detailed solutions are included.

#### Rearranging formulae worksheet (with solutions)

A worksheet on rearranging formulae to change the subject including exercises fro ,low to high level of difficulty. Good for GCSE/IGCSE students. Detailed solutions are included.

#### Algebra for GCSE/IGCSE worksheets (with solutions)

A large collection of 24 worksheets (254 pages) on selected topics from algebra: Algebraic manipulation Substitution into formulae Simplifying expressions by collecting like terms Collecting like terms (expressions with different variables) Multiplying a single term over a bracket Expanding double brackets Factorisation Quadratic factorisation 9.Indices Rearranging formulae Inverse functions Composite functions Equation of a straight line Parallel and perpendicular lines Solving linear equations Solving quadratic equations by factorising Quadratic formula Completing the square and solving quadratic equations by com- pleting the square Simultaneous Equations -Elimination Simultaneous Equations -Substitution Simultaneous Equations One Linear, One Quadratic Linear inequalities Quadratic inequalities The nth term of linear and quadratic sequences Designed for the GCSE/IGCSE specification. Detailed solutions are included.

#### Rearranging formulae worksheet (with solutions)

A worksheet on rearranging formulae to change the subject. Good exercises for introduction to this topic. Detailed solutions are included.

#### Linear equations worksheet (with solutions)

A worksheet on solving linear equations using the method of inverses. Detailed solutions are provided.