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

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!
sara-turner-montessori
Circle theorem and algebra

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”
steele1989
Negative and Fractional indices

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.
steele1989
Completing the Square KS4

Completing the Square KS4

A short powerpoint presentation to explain completing the square. This powerpoint has 7 slides, which includes one title and one end slide. There are a total of five examples.
Magictrickster
Solving Equations: One-Step (Fluency - Perimeter)

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.
BenHamilton45
Maths A Level New Spec Year 1 Pure Complete Notes and Examples

Maths A Level New Spec Year 1 Pure Complete Notes and Examples

This bundle covers the entire first year pure content for the new linear maths A Level. For each topic, there is a student booklet with spaces for them to work through the examples and a teacher’s booklet containing detailed worked solutions.
Omega
Maths A Level New Spec Further Algebra Notes and Examples (Year 1)

Maths A Level New Spec Further Algebra Notes and Examples (Year 1)

These notes and examples are designed for the delivery of the new A Level Maths specification. You will receive an editable Word document that can be issued to students with gaps for them to fill in the solutions to the examples and make further notes. Full solutions to the examples are provided for the teacher in the form of a PDF document. This could be made available to students if they miss a lesson, reducing teacher workload. Each topic is available as a separate purchase, or you can download the entire set covering all the the Year 1 pure maths content.
Omega
Maths A Level New Spec Equations and Inequalities Notes and Examples (Year 1)

Maths A Level New Spec Equations and Inequalities Notes and Examples (Year 1)

These notes and examples are designed for the delivery of the new A Level Maths specification. You will receive an editable Word document that can be issued to students with gaps for them to fill in the solutions to the examples and make further notes. Full solutions to the examples are provided for the teacher in the form of a PDF document. This could be made available to students if they miss a lesson, reducing teacher workload. Each topic is available as a separate purchase, or you can download the entire set covering all the the Year 1 pure maths content.
Omega
Maths A Level New Spec Quadratics Notes and Examples (Year 1)

Maths A Level New Spec Quadratics Notes and Examples (Year 1)

These notes and examples are designed for the delivery of the new A Level Maths specification. You will receive an editable Word document that can be issued to students with gaps for them to fill in the solutions to the examples and make further notes. Full solutions to the examples are provided for the teacher in the form of a PDF document. This could be made available to students if they miss a lesson, reducing teacher workload. Each topic is available as a separate purchase, or you can download the entire set covering all the the Year 1 pure maths content.
Omega
Guitars and String Vibrations

Guitars and String Vibrations

In this lesson, students apply their understanding of direct and inverse variation to making music with guitar strings. Students learn the equation governing the relationship between a string’s frequency, wave speed and length, and then use a digital guitar simulation to calculate the wave speeds and string lengths needed to create common chords. After playing through a simple song as a class, students construct and tune cardboard ukuleles to make their learning tangible. Topics addressed: Direct and inverse variation Basic physics of string vibrations and waves Primary CT concept: abstraction. The frequency equation uses a simplified wave speed parameter to represent physical concepts like string thickness and tension, and students abstract the detailed math away when building their physical ukuleles. Students will be able to: Explain how length and wave speed affect the frequency of a vibrating string Explain how guitar strings are able to play different notes Create a simple cardboard ukulele with strings tuned to different notes Materials: PowerPoint presentation Student handout Digital guitar simulation Cardboard boxes – shoeboxes will work, or you can order something like these from Home Depot Extra large rubber bands in at least three different sizes Wooden dowels A guitar is optional, but will help students connect their learning to a real instrument Suggested lesson breakdown: This activity is more of a practice/review project than a teaching tool, and therefore works best towards the end of the unit. Students can work individually or in pairs. The timing suggestions below are estimated and are very flexible based on your students’ pace. 10min – introduction to string vibrations and the frequency formula 10min – quick practice and check for understanding 10min – calculating wave speeds in the digital guitar simulator 20min – calculating string lengths for chords in the digital guitar simulator 5min – class play-along to “Imagine” by John Lennon 15min – constructing and playing cardboard ukuleles
eli17
Cluedo - Mixed Revision

Cluedo - Mixed Revision

Adapted resource from @danwalker (https://www.tes.com/teaching-resource/algebra-cluedo-6339269) Questions on Mixed topics in maths.
lj9g08
20 Solving Linear Equations Worksheets

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.
0105301g
GCSE 9-1 Algebra Questions (Bundle)

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.<hr>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.<hr>👍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…
Maths4Everyone
ALGEBRA: SOLVING QUADRATIC EQUATIONS

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.
Copolat
A2 Algebra Unit

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
suellenm
A2 - Algebra 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
suellenm
A2.9 Solve problems involving quadratics

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)
suellenm
A2.5 Changing the subject

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
suellenm
Rearranging and solving equations

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!
tomprotheroe92
Algebra Revision Workbook

Algebra Revision Workbook

A perfect little booklet for revising those pesky algebra topics! Includes answers at the end so you have the option of using this for self study - or it can be printed without the answers and used as an in class activity Works best using Adobe’s booklet printing feature but can be used as A4 sheets as well Subjects covered: Simplifying expressions Solving linear equations Factorising single brackets Factorising double brackets Expanding brackets Solving quadratic equations Rearranging equations to change the subject 10-12 questions on each topic
laurajanetutoring
Solving two step equations using inverse operations

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!
danwalker
Solving equations using inverse operations

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!
danwalker
Introducing equations

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!
danwalker
Continuing and generating sequences lesson

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
osmith25
Simultaneous quadratic equations lesson

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
osmith25
Medieval Maths - Algebra

Medieval Maths - Algebra

Great to bolster progress for catch up, intervention, exam prep, numeracy and cover. The pack also contains teacher answers
leepeachey
Simultaneous equations elimination method lesson

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
osmith25
Worded Simultaneous Equations

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.
RAGMaths
Simultaneous equations graphically

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
osmith25
Linear equations worksheet no 3 (with solutions)

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.
math_w