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Name_________________________________________Date_________Period ______Score_______

Algebra 2 Unit 13 Group Quiz 1. Factor Completely: (7x - 4)2 36 1. 2. Factor Completely: (3x 2)2 + 4(3x 2) 12 is factored completely, one of the

factors will be: 2.

3. Factor Completely: 2x2 4x + 6 3.

4. Which of the following is the simplest form of 2

14

12

x

x

?

4.

5. Simplify the following complex fraction:

2

2

1 5 4

11

x x

x

+ +

5.

2

6. Simplify: 1 2

2xx

6.

7. Simplify: 8 8

4 4

a ba b

+

7.

8. Solve: 9n2 13n + 4= 0 8.

9. Solve: 3 72

xx

= 9.

10. Solve for x if 1 12

xx x+ =

+

10.

11. In DEF , what is the value of sin D? 11.

D

E F

7 5

3

3

12. in XYZ , what is the value of tan X? 12.

13. Solve for y. 13. 14. Find a. 14. 15. Solve for a 15. 16. Determine the length of side x in the diagram. 16. 17. Find the value of y. 17.

18. Find the exact value of y. 18.

6 11

X

Y Z

y 8

45

y 10

45

a 5

45

a

16 30

30

60 2 3

x

x

y

2 45

4

19. Use a 30 60 90 triangle to find cos 30. 19. 20. Use a 45 45 90 triangle to find sin 45. 20. 21. Use a 30 60 90 triangle to find sin 30. 21. 22. Use a 30 60 90 triangle to find cos 60. 22. 23. Use a 30 60 90 triangle to find tan 30. 23.

24. Find the exact value of sin if cos = 13

24.

25. Find the exact value of cos if tan = 13

25.