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Starter Expand 1) -4m2(m + 3)2 = 2) (2 – 5x)3 = 8x y 2xy 4 3) Simplify 4) (extension) 2 3 2 6n1 xm1 n n 2 m1 32 x Factorise fully 5) 11m2 – m = 6) 4x2 + 5x –21 = 7) 27px2 – 3py2 = HW Theta pg 23 Done? . Rearranging Formula: What do you notice? . Make ‘x’ the subject of these equations: 1) x= y 4 4xz2 y= 5 5y = 4xz2 5y 5y x= 2 = x so 4z 4z2 x+4 y= 2x 5 3x + 5 y= 2x + 3 y = x2 + 4 2) y 4 = x2 3) y(2x 2xy 2xy x(2y 5) = x + 4 5y = x + 4 x = 4 + 5y 1) = 4 + 5y 4 + 5y x= 2y 1 4) y(2x + 3) = 3x + 5 2xy + 3y = 3x + 5 2 xy 3 x 5 3y x2y 3 5 3y 5 3y x 2y 3 Rearrange formula A formula (or equation) links numbers and variables. 4 eg V = 3 πr3 In this formula ‘V’ is the subject (the formula has V=) eg E = 1 mv2 2 In this formula ‘E’ is the subject We often want to change the subject of a formula. To do this we rearrange the formula Make ‘x’ the subject of eg E = 1 2 mv 2 eg V = 4 3 πr3 Theta Ex 4.01 Applications Ex 4.02 y = 4x + 7 1) Make ‘m’ the subject 3) Make ‘r’ the subject 2) Make ‘v’ the subject Rearranging Rational Expressions A rational expression is a fraction with polynomials on the top and bottom. Polynomial is a function which is the sum of terms of the form axn and n is a whole number (Whole numbers: 0, 1, 2, 3…) 3x + 5 2 Polynomials: x2 + 4x +3 Rational expression: 2x 3 x 2 + 3x 3 2x + 6x 5 NOT Polynomials: x 3 4x 3 2 6x 3 5x 2x x 5 The highest power of x is the degree of the polynomial Theta Ex 4.03 Make x the subject of… 1) 4y 3 x5 2) y 2x 1 x4 HW Theta pg 15 & 16 3) y2 2x 3 x4