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Practice Second Semester Final Exam
FULLERTON JOINT UNION HIGH SCHOOL DISTRICT
ALGEBRA FOUNDATIONS 2B – 2ND SEMESTER EXAM
1. Find Sum (4x3 + 6x – 8 ) - (x2 + 7x –2)
A
B
C
D
3x3 + x2 + 6x – 10
4x3 - x2 + 13x – 10
3x3 - x2 - x – 10
3x3 - x2 - x – 6
Standard: Algebra 1.0
2. Find the product?
A
B
C
D
3x (2x2 – 5x +1)
6x2 – 15x2 + 3x
6x3 – 10x2 + 3
6x3 – 15x2 + 3x
6x3 – 8x2 + 3x
Standard: Algebra 1.0
3. Find the product (4x – 1)(5x + 2).
A
B
C
D
9x2 + 6x - 2
20x2 - x - 2
20x2 - 3x - 2
20x2 + 3x - 2
Standard: Algebra 2.0
4. Solve the equation : (x + 1)( x + 10) = 0
A
1, 10
B
-1, 10
C
-1, -10
D
1, -10
Standard: Algebra 2.0
5.
Solve the equation : (2x + 6)(x - 1)( x + 2) = 0
A
B
C
D
-3, 1, -2
3, 1, -2
-3, -1, -2
3, 1, 2
Standard: Algebra 3.0
6.
Factor x2 + 10x + 24
A
B
C
D
(x + 6)(x + 4)
(x + 8)(x + 3)
(x - 6)(x - 4)
(x + 12)(x + 2)
Standard: Algebra 3.0
Practice Second Semester Final Exam
7. Solve the equation by factoring :
A
B
C
D
y2 + 4y – 32 = 0
-8, -4
8, -4
-8, 4
16, 2
Standard: Algebra 4.0
8.
Factor the trinomial. 12x2 +7x +1
A
B
C
D
(2x + 1)(6x + 1)
(3x + 1)(4x + 1)
(12x + 1)(x + 1)
(3x - 1)(4x + 1)
Standard: Algebra 1.0
9. Which trinomial match the following factors : (2y – 3)(y + 1)
A
B
C
D
2y2 – y - 3
2y2 + y - 3
2y2 – y + 3
2y2 + y + 3
Standard: Algebra 1.0
10. Use factoring to solve the equation: x2 – 49 = 0
A
B
C
D
49, 1
7, 7
7, - 7
-7, -7
Standard: Algebra 5.1
11. Factor the expression completely. 5y4 – 20y3 + 10y2
A
B
C
D
5y2(y3 – 4y + 2)
5y2(y2 – 5y + 2)
5y2(y2 – 4y - 2)
5y2(y2 – 4y + 2)
Standard: Algebra 5.0
12. Solve: x2 –6x + 5
A
B
C
D
1, -5
-1, -5
1, 5
-1, 5
Standard: Algebra 5.0
13. Solve the proportion: 3 = 5
x 2
A
4/5
B
5/10
C
6/5
D
5/4
Standard: Algebra 5.0
Practice Second Semester Final Exam
14. Solve.
3 = x+1
x
4
A
B
C
D
-3, 4
-3, - 4
3, 4
3, - 4
Standard: Algebra 5.0
x2 – 9 = x - 3
x+3
2
15. Solve:
A
B
C
D
x= 6
x= 3
x = -3
x = -6
Standard: Algebra 5.0
16. In the direct variation model
A
B
C
D
y = k find an equation that x vary directly when y = 4 and x = 2.
x
2x = k
y = 2x
4y = 2k
2=k
Standard: Algebra 6.0
17. Simplify
2x
2(x – 5)
.
A
B
x(x – 5)
1
(x – 5)
C
x
(x – 5)
.
D
2
(x – 5)
.
.
Standard: Algebra 6.0
18. Simplify
A
B
C
D
2x2 – 6x
6x2
.
3x
2x
3x
(x – 3)
x-3
3x
Standard: Algebra 6.0
.
.
Practice Second Semester Final Exam
19. Simplify:
A
B
C
D
y2 - 8y + 16
3y - 12
x(x + 4)
(x + 4)
3
(x - 4)
3
3(x - 4)
.
.
Standard: Algebra 6.0
x2 – 2x -3
(x – 3)
20. Simplify
A
B
C
D
x+3
x-3
x+1
x-1
Standard: Algebra 6.0
21. Which of the following is the equation for the graph?
A
B
C
D
y+x=4
y +-x = 4
y + 1/2x = 4
y + x =- 4
Standard: Algebra 6.0
22. Simplify
x4
x2(x + 2)
A
x2
(x + 2)
B
C
x (x + 2)
x
(x + 2)
x6(x + 2)
D
.
.
.
Standard: Algebra 5.0
23. Write the product of
A
B
C
D
9x2
4
.
8
18x
3x
x
1/x
6x
Standard: Algebra 7.0
24. Write the product of:
A
B
C
D
2x + 4
3x
x+4
9x
Standard: Algebra 7.0
3x
(x + 4)
. (3x + 12)
.
Practice Second Semester Final Exam
25. Simplify:
A
B
C
D
5
2x
+
x-5
2x
.
4
x +2
-
x+4
x+2
.
x
1/2x
1/2
x-5
Standard: Algebra 7.0
26. Simplify:
A
B
C
D
x+2
x-2
x–2
x
- x
x +2
.
Standard: Algebra 7.0
27. Simplify:
A
B
C
D
1
x2
+
2
x
.
1 – x2
1 + 2x
1 + 2x
x
1 + 2x
x2
Standard: Algebra 8.0
28.
Solve the equation by cross multiplying
x
=
14
10
5
A
20
B
28
C
2
D
3
Standard: Algebra 8.0
29.
Solve the equation by cross multiplying
6
=
x
x+2
4
A
3,2
B
4,2
C
6,2
D
-6 , 4
Standard: Algebra 8.0
30. Simplify the radical expression
A
B
6
2
3
C
4
2
D
2
6
Standard: Algebra 8.0
24
Practice Second Semester Final Exam
31. Simplify:
3
5
A
3
5
B
5
3
C
3
.
5
5
D
5
3
3
Standard: Algebra 8.0
32. Simplify the expression
A
6
2
B
3
2
C
5
2
D
4
2
32 +
2
Standard: Algebra 16.0
33. Simplify the expression
A
B
C
D
16
-34
3
20
2
(
2 + 6) (
2
- 6)
- 36
Standard: Algebra 8.0
34. Solve:
A
B
C
D
3
x + 4 = 15
15 - 7
25
5
21
Standard: Algebra 16.0
35. Evaluate the expression without using a calculator
A
B
C
D
(
3
64 )2
16
12
8
4
Standard: Algebra 17.0
36. solve the equation by completing the square.
A
B
C
D
4, -4
8 , -4
8+2
15
-1,-3, -5, -7
Standard: Algebra 17.0
x2 – 16x + 4 = 0
Practice Second Semester Final Exam
37. Use the Pythagorean Theorem to find the missing length.
A
B
3
7
C
3
D
11
6
5
x
Standard: Algebra 18.0
38. Find the missing lengths
A
15
B
17
C
9
D
11
5
Standard: Algebra 18.0
39. Find the distance between (1, 4) and ( -2, 3)
A
6
B
9
C
7
D
10
Standard: Algebra 3.0
40. Find the mid-point of the line segment connecting the given points. ( 1, 2 ), ( 2, -2 )
A.
B.
C.
D.
( 3, 2)
(3, 0 )
(3/2, 0)
(2/3, 0)
Standard: Algebra 1.0
x
x +4