Simplify each of the following expressions.
Problem 1 :
(1/2)⋅x – (1/9)⋅y – (1/8)⋅x + (11/3)⋅y
Solution :
By combining like terms,
Problem 2 :
(2/3)[2x - 5(x - 6y)]
Solution :
Problem 3 :
(1/2)(x - 3) + (2x + 5)/3
Solution :
Problem 4 :
(x - 2)/4 - (2x - 7)/3
Solution :
Taking least common multiple,
Problem 5 :
(1/3)⋅x + (2x - 5)/7
Solution :
Taking least common multiple,
Problem 6 :
(2x - 5)/3 - 1/5(3x - 2)
Solution :
Taking least common multiple,
Problem 7 :
(x - 1)/3 + 1/2 - 1/4(2x - 3)
Solution :
Taking least common multiple,
Problem 8 :
2x + (x - 4)/9 - (2x - 5)/3
Solution :
Taking least common multiple,
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