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: 5m = 4
A20
B18
C40
D22
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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
A3
B5
C7
D14
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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)?
A14
B6
C8
D7
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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).
A17
B16
C15
D32
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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 x−(2x+5)=45 to find x.