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Simultaneous Equations: Substitution

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

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A simple worksheet for students to practice solving simultaneous equations by substitution. Includes step by step instructions with colour coded examples.

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Unit 2: Solving equations & inequalities

About this unit.

There are lots of strategies we can use to solve equations. Let's explore some different ways to solve equations and inequalities. We'll also see what it takes for an equation to have no solution, or infinite solutions.

Linear equations with variables on both sides

• Why we do the same thing to both sides: Variable on both sides (Opens a modal)
• Intro to equations with variables on both sides (Opens a modal)
• Equations with variables on both sides: 20-7x=6x-6 (Opens a modal)
• Equation with variables on both sides: fractions (Opens a modal)
• Equation with the variable in the denominator (Opens a modal)
• Equations with variables on both sides Get 3 of 4 questions to level up!
• Equations with variables on both sides: decimals & fractions Get 3 of 4 questions to level up!

Linear equations with parentheses

• Equations with parentheses (Opens a modal)
• Reasoning with linear equations (Opens a modal)
• Multi-step equations review (Opens a modal)
• Equations with parentheses Get 3 of 4 questions to level up!
• Equations with parentheses: decimals & fractions Get 3 of 4 questions to level up!
• Reasoning with linear equations Get 3 of 4 questions to level up!

Analyzing the number of solutions to linear equations

• Number of solutions to equations (Opens a modal)
• Worked example: number of solutions to equations (Opens a modal)
• Creating an equation with no solutions (Opens a modal)
• Creating an equation with infinitely many solutions (Opens a modal)
• Number of solutions to equations Get 3 of 4 questions to level up!
• Number of solutions to equations challenge Get 3 of 4 questions to level up!

Linear equations with unknown coefficients

• Linear equations with unknown coefficients (Opens a modal)
• Why is algebra important to learn? (Opens a modal)
• Linear equations with unknown coefficients Get 3 of 4 questions to level up!

Multi-step inequalities

• Inequalities with variables on both sides (Opens a modal)
• Inequalities with variables on both sides (with parentheses) (Opens a modal)
• Multi-step inequalities (Opens a modal)
• Using inequalities to solve problems (Opens a modal)
• Multi-step linear inequalities Get 3 of 4 questions to level up!
• Using inequalities to solve problems Get 3 of 4 questions to level up!

Compound inequalities

• Compound inequalities: OR (Opens a modal)
• Compound inequalities: AND (Opens a modal)
• A compound inequality with no solution (Opens a modal)
• Double inequalities (Opens a modal)
• Compound inequalities examples (Opens a modal)
• Compound inequalities review (Opens a modal)
• Solving equations & inequalities: FAQ (Opens a modal)
• Compound inequalities Get 3 of 4 questions to level up!

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• Teaching Resources
• Solving Linear Equations Worksheets From Level 4 7 For Ks3 Maths

Solving equations worksheets – Linear equations KS3 maths

Four 'solving equations' PDF worksheets for KS3

These four solving equations worksheets from Cazoom Maths range from levels 4-7.

Solving equations worksheets

L4 question examples.

• x – 4 = 7

L5 question examples (grade E)

• 7x + 9 = 23
• 1 + 6x = 19
• 4x – 1 = 31
• x – 3 = -2
• 5 – x = 2
• 3x – 1 = 14

L6 question examples (grade D)

• 4x + 10 = 30
• 3 (x + 2) = 15
• 9x + 2 = 4x + 12

L7 question examples (grade C)

• 4 (2x – 3) = 8 (2x + 5)
• 7 (4 – 3x) = 2 (8x – 9) + 6
• 10 – 6 (8x – 2) = 9x – (3 + 4x)

KS3 maths curriculum area

Algebra : Use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

Cazoom Maths worksheets provide differentiated resources for effective maths learning. You can find them at  cazoommaths.com  and on the TES at  CazoomMaths . Follow on Twitter at  @CazoomMaths . We also have maths question worksheets for  Year 7 ,  Year 8 ,  Year 9  and  GCSE maths .

Similar resources

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• Properties of 2D shapes KS3 – Triangles and quadrilaterals
• KS3 maths formula sheet – Free printable worksheet
• Linear simultaneous equations – KS3/4 correcting errors worksheet
• Budgeting lesson – KS4 citizenship/financial education resources

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Solving Equations Practice Questions

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Solving equations worksheets

Solving algebraic equations. Differentiated worksheets on solving linear equations with the unknown on one side. Suitable for KS3 or KS4 students who need extra support.

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All About Maths

Equations (8300 - foundation - algebra), specification references (in recommended teaching order).

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

• All students will develop confidence and competence with the content identified by standard type
• All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
• Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

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Homework sheets, diagnostic questions (e-library), lesson plans (e-library), activities (e-library), plenaries (e-library), worksheets (e-library), legacy resources that might be useful for this topic, topic tests.

Access thousands of exam questions with Exampro Mathematics

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