Operation of Algebra By Marfuatun Laela Collecting like

Operation of Algebra § By : Marfuatun Laela

Collecting like and unlike terms Simplify these expressions where possible sss = 4 s – 2 p 3 a + 4 w b 2 s + p +3 s -3 p X b X 2 a X 3 Xb 2 x 3 xaxb 6 ab

Like Terms § Like terms contain the same variable and have the same power. § Example : 1). 9 x and– 13 x like terms because the variable are same that is x 2). 4 a 2 and –a 2 like terms because the powers are equal, that is 2.

Unlike Terms § Unlike terms are terms that don’t have same variable and the power of the variable is not equal § Example : 1). 2 a and 3 b unlike terms because the variable are not equal 2). 2 x 2 and 11 x unlike terms, because the power of its variable is different

Problems Identify whether it is like term or unlike term) 1. 2 x and 5 xy 2. 4 xy and -3 xy 3. 2 a and a 2 4. x 2 y and 5 xy 5. -3 a 3 and 2 a

Addition and Subtracting § Example : Simplify the following algebraic forms ! 1. 9 a + 2 a 2. 10 x – 8 x 3. 3 y – 7 y 4. a 2 + 4 a 2 5. – 2 b 3 + 4 b 3

Answer 1). 9 a + 2 a = (9 + 2)a distributive law = 11 a 2). 10 x – 8 x = (10 -2)x = 2 x 3). 3 y – 7 y = (3 -7)y = -4 y 4). a 2 + 4 a 2 = (1 + 4) a 2 = 5 a 2 5). – 2 b 3 + 4 b 3 = (-2 + 4) b 3 = 2 b 3

Multiplication § Example : Simplify ! 1). 5(a + 2 b) 2). 7(2 x – 5) Answer : 1). 5(a + 2 b) = 5. a + 5. 2 b = 4 a + 10 b 2). 7(2 x – 5) = 7. 2 x + 7. (-5) = 14 x + (-35) = 14 x -35

Problems § 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Simplify the form of these algebra forms! 8 a + 4 a 3 b + -5 b 3 a + 7 b + 4 a – 2 b 5(3 x + 4) 2(4 x – 3 y) -2(5 p + 3 q) -3(4 a -5) 2(a+2 b) + 5(a – 4 b) 7 p + 12 q – 2(3 p+q) 4(2 x-y) – 3(x + y)