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25-Aug-14Created by Mr. Lafferty Maths Dept. Revision of Level E Algebra Harder Equations Equations & Inequalities www.mathsrevision.com Equations with Brackets Equations with Fractions Solving Inequalities Harder Fractions

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 2.Solving simple algebraic equations. 1.To revise Level E using the rule ‘change side change sign’. Revision of Level E 1.Know rule ‘change side change sign’. Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. We use the rule “change side change sign” www.mathsrevision.com Revision of Level E Reminder ! Examples Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Reminder ! Revision of Level E “Opposite of multiplication is division” Examples Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Reminder ! Revision of Level E We use the rule “change side change sign” Examples Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch43 (page 171) www.mathsrevision.com Revision of Level E Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 6x 2x 100 o 60 o

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Use same rules to solve equations with more than one x term. 1. To explain how we use the same rules to solve harder equations were we have more than one x term. Harder Equations Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Harder Equations We use the rule “change side change sign” Same old Rule ! Examples Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch43 (page 173) www.mathsrevision.com Harder Equations Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To show how to solve equations with brackets. 1. Multiply out brackets. 2. Apply ‘change side change sign’ rule. Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Multiply out the brackets first and then Apply ‘change side change sign’ rule Examples Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Examples Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch43 (page 174) www.mathsrevision.com Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 5cm 11cm

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To show how to solve equations that contain fractional terms. 1. Multiply every term to get rid of fractional term. Equations with Fractions 2. Apply ‘change side change sign’ rule. Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 2 Equations with Fractions Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 12 Equations with Fractions Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch43 (page 175) www.mathsrevision.com Equations with Fractions Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com 7cm 13cm 15cm

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To show how to solve HARDER fractional equations using all the rules learned so far. 1. Know all rules learned so far. 2. Use these rules to solve harder equations. Harder Fractional Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 3 Harder Fractional Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Example Multiply EVERY term by 12 Harder Fractional Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch43 (page 176) www.mathsrevision.com Harder Fractional Equations with Brackets Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. To show how we can solve inequalities using the same rules we use for equations. 1. Understand the term inequality. 2. Solve inequalities using the same method as equations. Solving Inequalities Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Inequalities are similar to equations except we replace the “=“ with one of the following symbols : Solving Inequalities Less than or equal to Greater than or equal to Greater than Less than The Good News Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Solving inequalities is almost identical to solving equations : Solving Inequalities Example 1 x is any value less than 4 Even Better News ! Equations & Inequalities

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25-Aug-14Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Solving inequalities is almost identical to solving equations : Solving Inequalities Example 2 x is any value greater than or equal to 5 Equations & Inequalities

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25-Aug-14 www.mathsrevision.com Solving Inequalities Equations & Inequalities The only one to watch out for is when you are dividing by a negative Example 8 – 3m < 2 -3m < -6 m -6 -3 Subtract 8 from each side Divide across by -3 and change the Sign So m > 2 >

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25-Aug-14 Solving Inequalities Equations & Inequalities Example 2 5( x – 1 ) - 8x ≥ - 17 5x – 5 – 8x ≥ - 17 - 3x - 5 ≥ - 17 - 3x ≥ - 12 x -12 -3 ≤ So x ≤ 4

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25-Aug-14Created by Mr. Lafferty Maths Dept. Now try Exercise 6 Ch43 (page 177) www.mathsrevision.com Solving Inequalities Equations & Inequalities

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