ICET Mathematical Ability - Algebra 3

Question 1

If 2^x = 64, what is x?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 2

The discriminant of x² + 4x + 5 = 0 is b² − 4ac. What does the discriminant indicate?

Accepted Answer

No real roots

Answer

Two distinct real roots

Answer

One repeated real root

Answer

Two equal roots

Question 3

If x + 1/x = 5, what is x² + 1/x²?

Accepted Answer

23

Answer

21

Answer

25

Answer

27

Question 4

What is the remainder when x³ − 3x² + 3x − 1 is divided by (x − 1)?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 5

Solve for x: |2x − 3| = 7

Accepted Answer

x = 5 or x = −2

Answer

x = 5 or x = 2

Answer

x = −5 or x = 2

Answer

x = 5 or x = −5

Question 6

Find S₅ of an AP where a = 2 and d = 3 using Sn = n/2 × (2a + (n−1)d).

Accepted Answer

40

Answer

35

Answer

45

Answer

50