Date:Midterm Review Sheet #3

NameAlgebra 2 & Trigonometry

Date:Midterm Review Sheet #3

YOU MUST SHOW ALL WORK, EVEN ON MULTIPLE CHOICE QUESTIONS, IF YOU WANT TO EARN FULL CREDIT!

1. If f(x) = (x-2 + x-1)-1/2 , find f(3)

2. Express in simplest form: 7√5(3√10 + 2√8)

3. If 3x2 – 7x + 6 is subtracted from 4x2 – 3x + 4 the result is:

a. 7x2 + 10x + 10b. x2 – 10x - 2c. x2 + 4x – 2d. –x2 – 4x + 2

4. When x2 – 25 is divided by x2 + 2x – 15 the result is:

5. If (3x – 2)(4x + 2) is written in ax2 + bx + c from, what is the value of b?

a. 0b. -2c. 12d. -4

6. Simplify: 4

7 – 2√5

7. Perform the indicated operation and simplify:

6x + √32x

√2x 2

8. Solve for b:(10 + 14i) + (5 – 6i) = 15 + bi

9. Expressed in simplest form, √-64 is equivalent to

-√4

10. The expression (3 + i)2 is equivalent to

a. 8 + 6ib. 10 + 6ic. 8d. 10

11. Express the sum in terms of a + bi.

9√-16 + 3√-49 + 5√18

12. What is the multiplicative inverse for 2 + i in simplified a + bi from.

1 – i

13. Solve for x: 2 + 3|x – 9| = 26

14. Solve for x: 3 + |1 – 2x| ≥ 14

15. If x varies inversely as y and x = 8 when y = 9, find y when x = 24.

16. The volume, V, of a gas varies inversely as the pressure, p, in a container. If the volume of a gas is 100 cc when the pressure is 3.2 liters per square centimeter, find the volume (to the nearest tenth) when the pressure is 2.8 liters per sq centimeter.

17. Factor completely:

a. 3x2 + 10x + 8b. 24x4 – 40x3 – 32x2c. 2x2y2z4 – 2

18. Simplify.

a. 5x3 – 25x2 – 30xb. x2 – 49

x2 – 5x – 6 3x2 – 19x – 14

19. Express as a single fraction in simplest form:

1 + 1

x 2x2

1 - 1

4x2

20. Solve for x.

a. 72x-1 = 343b. 43x – 7 = 84x + 5

21. Solve for x:

8 = x - 2

x2 -121 x + 11 x - 11