We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byCharles Hayes
Modified over 2 years ago
© Boardworks Ltd of 60 KS3 Mathematics A1 Algebraic expressions
© Boardworks Ltd of 60 A1.3 Multiplying terms Contents A1 Algebraic expressions A1.1 Writing expressions A1.2 Collecting like terms A1.4 Dividing terms A1.5 Factorising expressions A1.6 Substitution
© Boardworks Ltd of 60 Multiplying terms together In algebra we usually leave out the multiplication sign ×. Any numbers must be written at the front and all letters should be written in alphabetical order. For example, 4 × a = 4 a 1 × b = b We dont need to write a 1 in front of the letter. b × 5 =5b5b We dont write b 5. 3 × d × c = 3 cd 6 × e × e =6e26e2 We write letters in alphabetical order.
© Boardworks Ltd of 60 Using index notation Simplify: x + x + x + x + x = 5 x Simplify: x × x × x × x × xx × x × x × x × x = x 5 x to the power of 5 This is called index notation. Similarly, x × xx × x = x 2 x × x × xx × x × x = x 3 x × x × x × xx × x × x × x = x 4
© Boardworks Ltd of 60 We can use index notation to simplify expressions. For example, 3 p × 2 p =3 × p × 2 × p =6p26p2 q 2 × q 3 = q × q × q × q × q = q5q5 3 r × r 2 =3 × r × r × r =3r33r3 2 t × 2 t =(2 t ) 2 or4t24t2 Using index notation
© Boardworks Ltd of 60 Look at this algebraic expression: 4( a + b ) What do do think it means? Remember, in algebra we do not write the multiplication sign, ×. This expression actually means: 4 × ( a + b ) or ( a + b ) + ( a + b ) + ( a + b ) + ( a + b ) = a + b + a + b + a + b + a + b = 4 a + 4 b Brackets
© Boardworks Ltd of 60 Expanding brackets then simplifying Sometimes we need to multiply out brackets and then simplify. For example, 3 x + 2(5 – x ) We need to multiply the bracket by 2 and collect together like terms. 3x3x + 10 – 2 x = 3 x – 2 x + 10 = x + 10
© Boardworks Ltd of 60 Expanding brackets then simplifying Simplify 4 – (5 n – 3) We need to multiply the bracket by –1 and collect together like terms. 4 – 5 n + 3 = – 5 n = 7 – 5 n
© Boardworks Ltd of 60 Expanding brackets then simplifying Simplify 2(3 n – 4) + 3(3 n + 5) We need to multiply out both brackets and collect together like terms. 6n6n – n + 15 = 6 n + 9 n – = 15 n + 7
© Boardworks Ltd of 60 Simplify 5(3 a + 2 b ) – 2(2 a + 5 b ) We need to multiply out both brackets and collect together like terms. 15 a + 10 b – 4 a –10 b = 15 a – 4 a + 10 b – 10 b = 11 a Expanding brackets then simplifying
© Boardworks Ltd of 60 Algebraic multiplication square
© Boardworks Ltd of 60 Pelmanism: Equivalent expressions
© Boardworks Ltd of 60 KS3 Mathematics A1 Algebraic expressions.
© Boardworks Ltd of 84 KS3 Mathematics S8 Perimeter, area and volume.
Course Simplifying Algebraic Expressions 1-9 Simplifying Algebraic Expressions Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson.
Objective SWBAT simplify rational expressions, add, subtract, multiply, and divide rational expressions and solve rational equations SWBAT simplify rational.
Linear Equation in One Variable. A linear equation in one variable is an equation that can be written in the form ax + b = 0 Where a 0 For example: 5x.
ALGEBRAIC EXPRESSIONS Step 1Write the problem. Step 2Substitute in the values for the unknown (variable). Step 3Use PEMDAS (remember to go left to right).
Mr Fs Maths Notes Shape and Space 7. Dimensions. What are Dimensions? You may have heard people taking about dimensions in terms of objects: One Dimension.
Mr Fs Maths Notes Algebra 4. Solving Linear Equations.
Laws of Indices OCR Module 8. What are Indices? Indices provide a way of writing numbers in a more convenient form Indices is the plural of Index An Index.
SYSTEMS OF LINEAR EQUATIONS Solving Linear Systems Algebraically.
Daily Quiz - Simplify the expression, then create your own realistic scenario for the final expression.
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
Copyright©amberpasillas2010. An expression is NOT an equation because it DOES NOT have an equal sign. There are 2 types of expressions Numerical.
Variables and Expressions. Vocabulary Variable – A symbol, usually a letter of the alphabet, such as the letter n, that is used to represent a number.
1 Section 2.2 introduction an exploration into: Equations with Algebra Tiles Section 2.2 introduction an exploration into: Equations with Algebra Tiles.
Simplifying Rational Expressions We are trying to get common terms to factor ( cancel ) to = 1. You might have to distribute or FOIL to get started. ALWAYS.
Holt Algebra 1 2-Ext Solving Absolute-Value Equations 2-Ext Solving Absolute-Value Equations Holt Algebra 1 Lesson Presentation Lesson Presentation.
Simplifying Algebraic Expressions Evaluating Algebraic Expressions 3-2 Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.
2.4 The Chain Rule If f and g are both differentiable and F is the composite function defined by F(x)=f(g(x)), then F is differentiable and F is given.
11-1 Simplifying Algebraic Expressions Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
§ 7.6 Radical Equations. Blitzer, Intermediate Algebra, 5e – Slide #2 Section 7.6 Radical Equations A radical equation is an equation in which the variable.
INTRODUCTORY MATHEMATICAL ANALYSIS For Business, Economics, and the Life and Social Sciences 2007 Pearson Education Asia Chapter 0 Review of Algebra.
Is this a “ positive 5 ” or “ plus 5 ”? +5 BOTH.
There is an agreement in mathematics that we dont leave a radical in the denominator of a fraction.
More with Exponents and Scientific Notation MATH 017 Intermediate Algebra S. Rook.
© Boardworks Ltd of 58 KS3 Mathematics S4 Coordinates and transformations 1.
Products and Factors of Polynomials Objective: To multiply polynomials; to divide polynomials by long division and synthetic division.
Holt Algebra Completing the Square 9-8 Completing the Square Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.
Absolute Value as Piecewise Functions Lesson2.5. Example f (x) = x + 1, if x < 1 2, if 1 x 3 (x-3) 2 + 2, if x > 3.
© 2017 SlidePlayer.com Inc. All rights reserved.