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SECOND SIX WEEKS REVIEW—ALG 2 LEVEL
Ch.4
A=
E=
---USE THE FOLLOWING MATRICES TO ANSWER QUESTIONS 1-9.
3
 2
1 − 2 3 
− 2 − 4 
 2 − 1


B = −1
0
C= 
D = 3
− 1 − 3

3 1 




3 
 0


1 
5 
 4
2 1
4 − 2
 −1 1



−2 
0
F=
3
1

−1
4

2 
0
G=
3 4
2 5


1. State the order (dimensions) of matrix B.
2. E – F
3. F + D
4. EB =
5. 4A - 3C
6. BF
7. det G
8. Find the determinant of D.
9. Find the inverse of C
10. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered pair.
6x + y = 2
3x – 2y + 1 = 0
11. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered triple.
2x – z = 3 + y
x+2=y+5
4z + x + y = 1
12. Solve using matrices. Show all matrices in a matrix equation and write the answer as an ordered pair.
x+y=3
3x = 3 + y
Chapter 5
Solve.
2
13. x + 5x = -6
2
15. 4x – 5 = 31
2
2
14. –x + 6 = 2x – 6
2
16. x + 6x + 9 = 16
17. A function, f(x), has (3,0) and (-2, 0) as roots. Write f(x) as a product of its factors.
Solve by factoring.
2
18. 4x -28x + 49=0
Find the roots by factoring. State as ordered pairs.
2
19. f(x) = x – 2x – 24
Find the zeros of the function by factoring. State as ordered pairs.
2
2
21. h(x) = x – 4
22. f(x) = 3x + 30X + 75
2
24. f(x) = x +6x + 9
a. direction ________
b. axis of symmetry ________
c. vertex_______
d. y-intercept _______
e. pt symmetric to the y-intercept______
f. zeros _________
g. graph
2
25. g(x) = -x – 4x - 8
a. direction ________
b. axis of symmetry ________
c. vertex_______
d. y-intercept _______
e. pt symmetric to the y-intercept______
f. zeros _________
2
20. g(x) = 3x – 13x – 10
2
23. h(x) = 9x -6x +1
2
26. Determine if f(x) = - x -6x +1 has a maximum or a minimum value. ______________________ and determine that
value.
27. The quadratic parent function has been transformed by reflecting it over the x axis, translating left 3, and up 4. There
has also been a vertical stretch by a factor of 5. Write the equation of the new function, g(x).
28. Describe the transformation of the quadratic parent function that is given by g(x) =
29. Graph f(x) = 2(x + 2)
FACTOR COMPLETELY
2
30. 5x – 45x
2
33. 4x – 17x +15
2
1
(x −1)2 −14 .
2
-7
2
31. x – 12 x + 36
2
34. 6x + 19x + 10
2
32. 3x +18x +15
2
35. 5x - 10x +5