AIME Algebra 2

Question 1

Find the remainder when x^3 - 4x + 2 is divided by x - 2.

Accepted Answer

2

Answer

0

Answer

4

Answer

-2

Question 2

Solve |2x - 3| = 7. What is the sum of all solutions?

Accepted Answer

3

Answer

7

Answer

5

Answer

10

Question 3

The roots of 3x^2 - 5x + 1 = 0 are r and s. Find r^2 + s^2.

Accepted Answer

19/9

Answer

25/9

Answer

7/3

Answer

13/9

Question 4

For what value of c does cx^2 + 8x + 4 = 0 have a double root?

Accepted Answer

4

Answer

2

Answer

8

Answer

1

Question 5

If x + 1/x = 3, what is x^2 + 1/x^2?

Accepted Answer

7

Answer

9

Answer

6

Answer

11

Question 6

How many integer solutions does x^2 < 16 have?

Accepted Answer

7

Answer

6

Answer

8

Answer

4