AMC12 Algebra

Question 1

If 2^x = 3, what is the value of 4^x?

Accepted Answer

9

Answer

6

Answer

12

Answer

8

Question 2

The roots of x^2 - 5x + 6 = 0 are r and s. What is r^2 + s^2?

Accepted Answer

13

Answer

25

Answer

12

Answer

7

Question 3

If log2(x) + log2(x-2) = 3, find x.

Accepted Answer

4

Answer

2

Answer

8

Answer

6

Question 4

For what positive k does 3x^2 + kx + 12 = 0 have exactly one real solution?

Accepted Answer

12

Answer

6

Answer

9

Answer

4

Question 5

If f(x) = 2x+1 and g(x) = x^2, what is f(g(3))?

Accepted Answer

19

Answer

37

Answer

49

Answer

10

Question 6

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

Accepted Answer

3

Answer

8

Answer

6

Answer

0