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Class 8 Solving Simple Equations — practice questions with answers

Linear Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Solve for m: = 4
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Answer: A) 20
Multiply both sides by 5: m = 4 x 5 = 20.
2. Solve for x: 6x - 4 = 4x + 10
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Answer: C) 7
6x - 4x = 10 + 4, so 2x = 14 and x = 7.
3. Arjun's age is 4 years more than twice the age of his sister Diya.
Arjun is 18 years old.
How old is Diya (in years)?
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Answer: D) 7
Let Diya's age be x. Then 2x + 4 = 18, so 2x = 14 and x = 7.
4. The length of a rectangular garden is twice its breadth.
If the perimeter is 96 m, find the breadth (in m).
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Answer: B) 16
Let breadth = x, length = 2x. Perimeter = 2(2x + x) = 96, so 6x = 96 and x = 16.
5. A fruit seller had a basket of apples.
He sold half of them plus 5 in the morning, and was left with 45 apples.
If x is the number of apples he started with, solve to find x.
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Answer: A) 100
, so and x = 100 apples.
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