IMO Practice Test — Algebraic Expressions
6 Questions • 25 min • Olympiad level
25:00
Question 1 of 6
hard
Write expression: "three times the sum of a number and 4"
3n+4
3(n+4)
3n×4
n+12
Explanation: Sum first, then multiply by 3
Question 2 of 6
hard
Evaluate: (5x - 3y) ÷ 2 when x=8, y=4
14
16
28
8
Explanation: (40-12)=28, 28÷2=14
Question 3 of 6
hard
Combine: 7x + 3y - 2x + 4y - x
4x+7y
5x+7y
6x+7y
4x+5y
Explanation: 7x-2x-x=4x, 3y+4y=7y
Question 4 of 6
hard
Write expression for "5 less than the quotient of a number and 2"
n/2 - 5
5 - n/2
2/n - 5
n/2+5
Explanation: Quotient = n/2, then subtract 5
Question 5 of 6
hard
Evaluate: 3x² - 2x + 1 when x=4
41
57
33
49
Explanation: 3(16)-8+1=48-8+1=41
Question 6 of 6
hard
Simplify: 2(3x + 4) + 5x - 2
11x+6
11x+10
6x+6
6x+10
Explanation: 6x+8+5x-2=11x+6