Simplify the expressions and find the value if x is equal to 2
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
(i) x + 7 + 4 (x – 5) (ii) 3 (x + 2) + 5x – 7 (iii) 6x + 5 (x – 2) (iv) 4(2x – 1) + 3x + 11
Solution and Explanation
(i) x+7+4(x–5) = x+7+4x-20=x+4x+7-20 = 5x-13 = 5×2-13 = 10-13 = -3 [putting x = 2]
(ii) 3(x+2)+5x–7 = 3x+6+5x-7 = 3x+5x+6-7 = 8x-1 = 8×2-1 = 16-1 = 15 [putting x = -1]
(iii) 6x+5(x–2) = 6x+5x-10 = 11x-10 = 11×2-10 = 22-10 = 12 [putting x = -1]
(iv) 4(2x–1)+3x+11 = 8x-4+3x+11 = 8x+3x-4+11 = 11x+7 = 11×2+7 = 22+7 = 29 [putting x = -1]
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