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Class 6 Simple Equations — practice questions with answers

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

1. Solve for x: x + 5 = 12
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Answer: B) 7
Subtract 5 from both sides: x = 12 - 5 = 7.
2. Solve for x:
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Answer: D) 8
Subtract 5: = 4. Multiply by 2: x = 8.
3. Solve for x: 4(x - 1) = 2(x + 5)
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Answer: C) 7
Expand: 4x - 4 = 2x + 10. Subtract 2x: 2x - 4 = 10. Add 4: 2x = 14. So x = 7.
4. Solve for x: 8x - 6 = 5x + 9
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Answer: A) 5
Subtract 5x: 3x - 6 = 9. Add 6: 3x = 15. Divide: x = 5.
5. In a fruit basket, the number of apples is 3 more than twice the number of oranges.
There are 17 apples.
How many oranges are there in the basket?
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Answer: C) 7
Let oranges = r. Then apples = 2r + 3 = 17. Subtract 3: 2r = 14. Divide: r = 7 oranges.
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