IMO Algebra and Equations 1 — Questions and Answers
Question 1: If 3x + 7 = 22, what is the value of x?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
3x = 22 − 7 = 15, so x = 15 ÷ 3 = 5.
Question 2: What is the value of 5a − 3 when a = 4?
- 11
- 17 (Correct answer)
- 20
- 23
Correct answer: 17
5a − 3 = 5 × 4 − 3 = 20 − 3 = 17.
Question 3: Which expression is equivalent to 2(x + 5)?
- 2x + 5
- 2x + 7
- 2x + 10 (Correct answer)
- x + 10
Correct answer: 2x + 10
Using the distributive property: 2(x + 5) = 2x + 10.
Question 4: If y/4 = 9, what is y?
- 13
- 36 (Correct answer)
- 45
- 72
Correct answer: 36
y = 9 × 4 = 36.
Question 5: Simplify: 7m + 3m − 2m
- 6m
- 7m
- 8m (Correct answer)
- 12m
Correct answer: 8m
7m + 3m − 2m = 10m − 2m = 8m.
Question 6: If p = 3 and q = 7, what is 2p + 3q?
- 20
- 27 (Correct answer)
- 29
- 35
Correct answer: 27
2p + 3q = 2(3) + 3(7) = 6 + 21 = 27.
IMO Algebra and Equations 1
If 3x + 7 = 22, what is the value of x?