IMO Algebra and Equations 2

Question 1

Solve: 4x − 6 = 2x + 8

Accepted Answer

7

Answer

4x − 2x = 8 + 6 → 2x = 14 → x = 7.

Question 2

What is the value of x² + 2x when x = 3?

Accepted Answer

15

Answer

x² + 2x = 3² + 2(3) = 9 + 6 = 15.

Question 3

Which of the following is a linear equation?

Accepted Answer

y = 3x + 2

Answer

y = 3x + 2 is a linear equation because the highest power of x is 1.

Question 4

If 5n = 45, what is n?

Accepted Answer

9

Answer

n = 45 ÷ 5 = 9.

Question 5

Simplify: 3(2x − 4) + 5

Accepted Answer

6x − 7

Answer

3(2x − 4) + 5 = 6x − 12 + 5 = 6x − 7.

IMO - International Mathematics Olympiad Practice Test