Solve 3(x-2)=21
This question can be solved in two ways. One way is to divide the whole equation, both sides by 3, which gives x-2=7. Then add 2 to both sides to give x=9. Another way is to work out the left hand side of the equation first, which gives 3x-6=21. Then add 6 to both sides to give 3x=27. x can then be worked out by 27/3=9.
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Aled has three concrete slabs. Two of the slabs are square, with each side of length x metres. The third slab is rectangular and measures 1 metre by (x +1) metres. The three concrete slabs cover an area of 7m^2. Show that 2x^2 + x – 6 = 0. Find x.
Factorise and thus solve: x^2– 2x– 24 = 0