IMO Algebra and Equations

Question 1

If 3x + 7 = 22, what is the value of x?

Accepted Answer

5

Answer

3x = 22 − 7 = 15, so x = 15 ÷ 3 = 5.

Question 2

What is the value of 5a − 3 when a = 4?

Accepted Answer

17

Answer

5a − 3 = 5 × 4 − 3 = 20 − 3 = 17.

Question 3

Which expression is equivalent to 2(x + 5)?

Accepted Answer

2x + 10

Answer

Using the distributive property: 2(x + 5) = 2x + 10.

Question 4

If y/4 = 9, what is y?

Accepted Answer

36

Answer

y = 9 × 4 = 36.

Question 5

Simplify: 7m + 3m − 2m

Accepted Answer

8m

Answer

7m + 3m − 2m = 10m − 2m = 8m.

IMO - International Mathematics Olympiad Practice Test