1. Write an equation for: 'Add 5 to a number x to get 12.'
- Ax + 5 = 12
- Bx - 5 = 12
- C5x = 12
- Dx/5 = 12
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Answer: A) x + 5 = 12
'Add 5 to x' means x + 5, and the result is 12, so x + 5 = 12.
Class 7 Setting Up Equations — practice questions with answers
Simple Equations · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Which equation represents '7 less than twice a number p is 11'?
- A2p - 7 = 11
- B7 - 2p = 11
- C2(p - 7) = 11
- D2p + 7 = 11
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Answer: A) 2p - 7 = 11
'Twice p' is 2p; '7 less than' that is 2p - 7 = 11.
3. Write an equation for: 'A number multiplied by 9 equals 9 more than the number.'
- A9x = x + 9
- B9x = 9 - x
- C9x = 9x + 9
- D9 + x = 9x + 9
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Answer: A) 9x = x + 9
'Number times 9' is 9x; '9 more than the number' is x + 9; set equal.
4. The sum of three consecutive whole numbers is 48. Let the smallest number be n.
Which equation correctly represents their sum?
Which equation correctly represents their sum?
- An + (n+1) + (n+2) = 48
- B3n = 48
- Cn + 3 = 48
- Dn + (n+2) + (n+4) = 48
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Answer: A) n + (n+1) + (n+2) = 48
Consecutive numbers are n, n+1, n+2; their sum is n + (n+1) + (n+2) = 48.
5. A girl is asked to think of a number, multiply it by 4, subtract the original number, and then add 9. Her final answer is 33.
Let the number be x.
Which equation correctly represents the whole process?
Let the number be x.
Which equation correctly represents the whole process?
- A4x - x + 9 = 33
- B4x + x + 9 = 33
- C4(x - x) + 9 = 33
- D4x - (x + 9) = 33
Show answer
Answer: A) 4x - x + 9 = 33
Multiply by 4: 4x; subtract the original: 4x - x; add 9: 4x - x + 9 = 33.
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