Solving Equations Worksheet
Solving Equations Worksheet
Aim
To solve linear equations with integer coefficients.
Exercise 1
Solve these equations (find the value of x):
a) 5x + 1 = 31 b) 3x – 1 = 8 c) 7x = 60 + 2x
d) 3x = 72 – 3x e) 6x + 4 = 20 – 2x f) 6x + 3 = 23 + x
g) 5x + 4 = 2x + 17 h) 5x + 11 = 20x – 64 i) 28 – x = 17 + 3x
Exercise 2
Solve these equations with brackets (multiply out the brackets first):
a) 5(x + 2) = 25 b) 2(2x + 10) = 40
c) 3(2x – 5) = 21 d) 4(5x –3) = 7(2x + 3)
e) 3(4 + x) = 5(10 + x) f) 2(3x – 4) = 4x + 3
Extension Problems
a) The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
4x + 2
10x – 1
b) If the length of a rectangle is three time its width and its perimeter is 24cm, what is its area?
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