Algebra 2 – First Semester Final - Test 6.0
1. Which of the following should not be considered a possible factor of 3x 2 – 2x – 8 ?
A.
3x + 1
B.
x–4
C.
4x + 2
D.
3x – 2
2. (x3 + 2x2 – 3x)(2x – 5) =
A.
2x4 + 9x3 – 16x2 + 15x
B.
2x4 – x3 – 16x2 + 15x
C.
2x4 + 9x3 + 16x2 + 15x
D.
2x4 – x3 – 16x2 – 15x
3. Solve for x: 3x2 – 6 = 21
A.
3
B.
3
C.
9
D.
9
4. Simplify:
A.
B.
C.
D.
3  2 3
40
3/8
1/24
-1/24
-1/6
5. Simplify with no negative exponents:
A.
B.
C.
D.
2 x8 y 6 z
6x2 y3z
3x 4 y 3 z
3x 4 y 2
x4 y2
3
1 x6 y3
3
6. Give the vertex of the parabola: y = x2 + 3
A.
(0,0)
B.
(3,0)
C.
(0,3)
D.
(1,3)
Algebra 2 Test 6.0
7. What is the range of the function:
A.
y2
B.
y  1
C.
y3
D.
All Reals
f ( x)  3 x  2  1 ?
8. What is the domain of the function: g ( x )  3 x  2  1
A.
x2
B.
x 1
C.
x3
D.
All Reals
4 x  2 y  3
9. Find the point of intersection of the two lines: 
 x  2 y  12
A.
 4, 4 
B.
C.
D.
3 ,  9 2 
 3,15 2 
 3,4.5
10. Which line is perpendicular to the line: y  2 x  3
A.
y   12 x  1
B.
y  2x  3
C.
y  12 x  3
D.
y  2 x  3
3 x  2 y  6
11. Which statement is true about the two lines: 
 3x  2 y  6
A.
The two lines intersect in exactly one point.
B.
The two lines are actually the same line.
C.
The two lines are parallel.
D.
The two lines are perpendicular.
p. 2
Algebra 2 Test 6.0
12. Simplify: 12  3  2
A.
It’s already simplified.
B.
3 3 2
C.
17
D.
5 3 2
13. Solve the following inequality: 5  2 x  3
A.
x4
B.
x  4
C.
x4
D.
x  4
14. Expand by multiplying: (x – 3y)2
A.
x2  9 y2
B.
x2  9 y2
C.
x 2  6 xy  9 y 2
D.
x 2  6 xy  9 y 2
x2  y2
15. Simplify:
3x  3 y
x y
A.
3
x y
B.
3
3
x  y3
C.
3
2
D.
x  y2
16. Put in scientific notation: 0.0312
312  104
A.
3.12  104
B.
3.12  102
C.
3.12  102
D.
p. 3
Algebra 2 Test 6.0
17. Simplify:
A.
B.
C.
D.
x2  6x  8
x 2  4 x  12
2 x  4
x2
x3
x4
x6
x4
x6
2
3

x x3
18. Solve for x:
A.
B.
C.
D.
3
3
6
6
1
50
19. Simplify:
A.
B.
C.
D.
1
5 2
50
50
50
5 2
2
10
20. Solve for x:
A.
B.
C.
D.
1
2
3
4
3 1 2


x 3x 3
p. 4
Algebra 2 Test 6.0
x2  6x  9
x2  9
6x
6x  9
9
x3
x3
-1
21. Simplify:
A.
B.
C.
D.
22. Evaluate: 3 64
A.
Not defined
B.
2
C.
4
D.
8
23. Solve for x: 2x2 – 8x = 0
A.
4
B.
2
C.
0, 2
D.
0, 4
24. Solve for x: x3 – 8x2 + 15x = 0
A.
0, 8, 15
B.
0, -8, 15
C.
0, -3, -5
D.
0, 3, 5
25. Solve for x: 3 x  1  2  8
A.
3
B.
1, 3
1,3
C.
1,  3
D.
p. 5
Algebra 2 Test 6.0
p. 6
26. Give the equation of the line which passes through (3,1) and (-2,4).
A.
y  1   53  x  3
B.
C.
D.
y  1   53  x  4 
y  1   53  x  3
y  3   53  x  1
27. Which equation describes the line parallel to: y = 3x + 2 and containing the point
(0,1)?
A.
y  13 x  1
B.
C.
D.
y  13 x  2
y  3x  2
y  1  3 x  0
28. The length of a rectangle is twice as long as the width. Find the length if the area of
the rectangle is 32 square meters.
A.
4
B.
8
C.
16
D.
32
29. Add the two rational (fraction) expressions:
A.
B.
C.
D.
7
 x  2  x  3
7x  5
 x  2  x  3
7 x  11
x 2  5x  6
7 x  16
x 2  5x  6
2
5

x2 x3
Algebra 2 Test 6.0
B.
4
3 2
4
9 4
4 3 2
C.

4
3
D.
4/5
30. Simplify:
A.
31. Simplify:

2
1  31x
1
2 x2
 16
A. 2  2x
6x  2
B.
3  x2
5x2  2 x
C.
3
2 x  3x  1
D.
3  x2
32. Factor: x 4  xy 3

A. x x3  y3


x  x  y  x
x  x  y  x
B. x  x  y  x 2  2 xy  y 2
C.
D.

 xy  y 
2
 xy  y 2
2
2

p. 7
Algebra 2 Test 6.0
33.
36.
39.
x  2 and y  3
y  x 2
y   x  2
2
34.
37.
40.
y  12 x  1 or y  3
y = 3x2
2x + 3y > 6
p. 8
35. y  3x and y   13 x  2
38.
41.
y x
y  3 x  2  1
2