# Equations & Inequalities

## Presentation on theme: "Equations & Inequalities"— Presentation transcript:

Equations & Inequalities
Revision of Level E Algebra Harder Equations Equations with Brackets Equations with Fractions Harder Fractions Solving Inequalities 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Revision of Level E Learning Intention Success Criteria To revise Level E using the rule ‘change side change sign’. 1. Know rule ‘change side change sign’. 2. Solving simple algebraic equations. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Revision of Level E Reminder ! We use the rule “change side change sign” Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Revision of Level E Reminder ! “Opposite of multiplication is division” Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Revision of Level E Reminder ! We use the rule “change side change sign” Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Revision of Level E Now try Exercise 1 Ch43 (page 171) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 2x 6x 100o 60o 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Equations Learning Intention Success Criteria 1. To explain how we use the same rules to solve harder equations were we have more than one x term. Use same rules to solve equations with more than one x term. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Equations Same old Rule ! We use the rule “change side change sign” Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Equations Now try Exercise 2 Ch43 (page 173) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Brackets Learning Intention Success Criteria 1. Multiply out brackets. 1. To show how to solve equations with brackets . 2. Apply ‘change side change sign’ rule. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Brackets Multiply out the brackets first and then Apply ‘change side change sign’ rule Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Brackets Examples 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Brackets Now try Exercise 3 Ch43 (page 174) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 5cm 11cm 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Fractions Learning Intention Success Criteria 1. Multiply every term to get rid of fractional term. 1. To show how to solve equations that contain fractional terms. 2. Apply ‘change side change sign’ rule. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Fractions multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 2 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Fractions multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 12 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Equations with Fractions Now try Exercise 4 Ch43 (page 175) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 7cm 13cm 15cm 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Fractional Equations with Brackets Learning Intention Success Criteria 1. Know all rules learned so far. 1. To show how to solve HARDER fractional equations using all the rules learned so far. 2. Use these rules to solve harder equations. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Fractional Equations with Brackets multiply EVERY term to get rid of fractional term. and Apply ‘change side change sign’ rule Examples Multiply EVERY term by 3 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Fractional Equations with Brackets Example Multiply EVERY term by 12 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Harder Fractional Equations with Brackets Now try Exercise 5 Ch43 (page 176) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.
Starter Questions 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Solving Inequalities Learning Intention Success Criteria 1. Understand the term inequality. 1. To show how we can solve inequalities using the same rules we use for equations. 2. Solve inequalities using the same method as equations. 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Solving Inequalities The Good News Inequalities are similar to equations except we replace the “=“ with one of the following symbols : Less than Greater than or equal to Less than or equal to Greater than 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Solving Inequalities Even Better News ! Solving inequalities is almost identical to solving equations : Example 1 x is any value less than 4 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Solving Inequalities Solving inequalities is almost identical to solving equations : Example 2 x is any value greater than or equal to 5 5-Apr-17 Created by Mr. Lafferty Maths Dept.

Equations & Inequalities
Solving Inequalities The only one to watch out for is when you are dividing by a negative Example 8 – 3m < 2 -3m < -6 Subtract 8 from each side m -6 -3 > Divide across by -3 and change the Sign So m > 2 5-Apr-17

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

Equations & Inequalities
Solving Inequalities Now try Exercise 6 Ch43 (page 177) 5-Apr-17 Created by Mr. Lafferty Maths Dept.

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