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© Boardworks Ltd 2004 1 of 60 KS3 Mathematics A1 Algebraic expressions
© Boardworks Ltd 2004 2 of 60 A1.4 Dividing terms Contents A1 Algebraic expressions A1.3 Multiplying terms A1.2 Collecting like terms A1.1 Writing expressions A1.5 Factorising expressions A1.6 Substitution
© Boardworks Ltd 2004 3 of 60 Dividing terms Remember, in algebra we do not usually use the division sign, ÷. Instead we write the number or term we are dividing by underneath like a fraction. For example, ( a + b ) ÷ c is written as a + b c
© Boardworks Ltd 2004 4 of 60 Like a fraction, we can often simplify expressions by cancelling. For example, n 3 ÷ n 2 = n3n3 n2n2 = n × n × nn × n × n n × nn × n 1 1 1 1 = n 6 p 2 ÷ 3 p = 6p26p2 3p3p = 6 × p × p 3 × p 2 1 1 1 = 2 p Dividing terms
© Boardworks Ltd 2004 5 of 60 Algebraic areas
© Boardworks Ltd 2004 6 of 60 Hexagon Puzzle
© Boardworks Ltd 2004 7 of 60 Algebraic multiplication square
A1 Algebraic expressions
© Boardworks Ltd of 60 KS3 Mathematics A1 Algebraic expressions.
© Boardworks Ltd of 73 Using Index Laws 1.Multiplying terms 2.Dividing terms 3.Expressions of the form ( x m ) n 4.The zero index 5.Negative indices.
© Boardworks Ltd of 60 A1 Introduction to algebra S1–S4 Mathematics.
© Boardworks Ltd of 73 A1 Algebraic manipulation KS4 Mathematics.
Dividing Fractions. To Divide Fractions: Keep the first fraction Change the division sign to a multiplication sign Flip the second fraction upside down.
© Boardworks Ltd of 63 N9 Mental methods KS3 Mathematics.
© Boardworks Ltd of 54 Algebraic fractions 1.Equivalent algebraic fractions 2.Simplifying algebraic fractions 3.Manipulating algebraic fractions.
© Boardworks Ltd of 13 Manipulating radicals.
Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.
2-1 Variables and Expressions Warm Up Simplify 3 15 (9 + 2) 7
Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.
© Boardworks Ltd of 73 Quadratics Stage 8 Chapter 18.
Simplify Rational Algebraic Expressions In the previous section on polynomials, we divided a polynomial by a binomial using long division. In this section,
© Boardworks Ltd of 37 Simplifying algebraic fractions Adding and subtracting algebraic fractions Multiplying and dividing algebraic fractions Improper.
© Boardworks Ltd of 29 A2 Linear equations KS4 Mathematics.
Multiplying AND DIVIDING RATIONAL EXPRESSIONS. Review: Multiplying fractions.
Substitution 1. Calculate a + b – c If a = 10 b = 8 and c = 12 When g = 6 and h = 14 2t 2 – 4t 2 t = 4 and t =6 ½ w + ¼ h w = 12 and h = 20.
Expanding brackets and factorising expressions.. Look at this algebraic expression: 4( a + b ) What do you think it means? Remember, in algebra we do.
© Boardworks Ltd of 19 Simple factorization 1.Factorizing simple expressions.
© Boardworks Ltd of 22 © Boardworks Ltd of 22 A2-Level Maths: Core 4 for Edexcel C4.1 Algebra and functions This icon indicates the slide.
© Boardworks Ltd of 8 This icon indicates the slide contains activities created in Flash. These activities are not editable. For more detailed instructions,
Algebra 1 Chapter 2 Section : Solving One-Step Equations An equation is a mathematical statement that two expressions are equal. A solution of an.
Algebra Factorising and cancelling (a 2 – b 2 ) = (a – b)(a + b) (a b) 2 = a 2 2ab + b 2.
© Boardworks Ltd of 73 Expanding and factorizing quadratic expressions 1.Expanding two brackets 2.Squaring expressions 3.The difference between.
© Boardworks Ltd of 53 Contents Multiples, factors and primes A A A A HCF and LCM Factors Prime numbers Prime factor decomposition.
© Boardworks Ltd of 49 N5 Using Fractions KS3 Mathematics.
Section 8-4 Multiplying and Dividing Rational Expressions.
© Boardworks Ltd of 22 These icons indicate that teacher’s notes or useful web addresses are available in the Notes Page. This icon indicates the.
© Boardworks Ltd of 37 A2-Level Maths: Core 3 for Edexcel C3.1 Algebra and functions 1 This icon indicates the slide contains activities created.
Multiplying & Dividing Rational Expressions. Simplified form of a rational expression - Means the numerator and denominator have NO common factors. To.
Multiplying Fractions. When we multiply a fraction by an integer we: multiply by the numerator and divide by the denominator For example, × = 54.
Algebraic Fractions. Algebraic Fractions – Core 3, Chapter 1 Session 1 LO:Add, subtract, multiply and divide algebraic fractions. Session 2 LO:Write improper.
Changed division sign to multiplication sign When Dividing Fractions, always remember to: FLIP SWITCH MULTIPLY Since both 10 and 12 are divisible by 2,
Variables and Algebraic Expressions 1-3. Vocabulary Variable- a letter represents a number that can vary. Constant- a number that does not change. Algebraic.
Chapter 9: Rational Expressions Section 9-1: Multiplying and Dividing Rationals 1.A Rational Expression is a ratio of two polynomial expressions. (fraction)
MULTIPLYING RATIONAL NUMBERS IF THE SIGNS ARE THE SAME, MULTIPLY THEIR ABSOLUTE VALUES AND THE ANSWER IS POSITIVE. (+4)(+5) = (-4)(-5) = (3)(6) = (-10)(-4)
© Boardworks Ltd of 27 Equations 1.Equations 2.Using inverse operations 3.Solving equations by transforming both sides 4.Solving an equation with.
Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.
WARM UP. Algebra 3 Chapter 9: Rational Equations and Functions Lesson 4: Multiplying and Dividing Rational Expressions.
ALGEBRA – LESSON 93 Quotient of Rational Expressions Be ready to grade the homework!
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© Boardworks Ltd of 38 © Boardworks Ltd of 38 AS-Level Maths: Core 1 for Edexcel C1.1 Algebra and functions 1 This icon indicates the slide.
1-2 Order of Operations and Evaluating Expressions.
Variables and Expressions #4. A variable is a letter or symbol that represents a quantity that can change. A constant is a quantity that does not change.
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