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Algebra 2 Semester Exam

Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
 

 1. 

Write final_exam_algebra_2_files/i0020000.jpg in vertex form.
a.
final_exam_algebra_2_files/i0020001.jpg
c.
final_exam_algebra_2_files/i0020002.jpg
b.
final_exam_algebra_2_files/i0020003.jpg
d.
final_exam_algebra_2_files/i0020004.jpg
 
 
Factor the expression.
 

 2. 

final_exam_algebra_2_files/i0040000.jpg
a.
final_exam_algebra_2_files/i0040001.jpg
c.
final_exam_algebra_2_files/i0040002.jpg
b.
final_exam_algebra_2_files/i0040003.jpg
d.
final_exam_algebra_2_files/i0040004.jpg
 

 3. 

final_exam_algebra_2_files/i0050000.jpg
a.
final_exam_algebra_2_files/i0050001.jpg
c.
final_exam_algebra_2_files/i0050002.jpg
b.
final_exam_algebra_2_files/i0050003.jpg
d.
final_exam_algebra_2_files/i0050004.jpg
 

 4. 

final_exam_algebra_2_files/i0060000.jpg
a.
final_exam_algebra_2_files/i0060001.jpg
c.
final_exam_algebra_2_files/i0060002.jpg
b.
final_exam_algebra_2_files/i0060003.jpg
d.
final_exam_algebra_2_files/i0060004.jpg
 
 
Simplify the expression.
 

 5. 

final_exam_algebra_2_files/i0080000.jpg
a.
final_exam_algebra_2_files/i0080001.jpg
c.
final_exam_algebra_2_files/i0080002.jpg
b.
final_exam_algebra_2_files/i0080003.jpg
d.
final_exam_algebra_2_files/i0080004.jpg
 
 
Solve the equation.
 

 6. 

final_exam_algebra_2_files/i0100000.jpg
a.
14, 4
c.
14, –14
b.
–4, –14
d.
–4, 4
 

 7. 

Find the missing value to complete the square.
final_exam_algebra_2_files/i0110000.jpg
a.
2
b.
1
c.
4
d.
8
 

 8. 

Write the polynomial final_exam_algebra_2_files/i0120000.jpg in standard form.
a.
final_exam_algebra_2_files/i0120001.jpg
c.
final_exam_algebra_2_files/i0120002.jpg
b.
final_exam_algebra_2_files/i0120003.jpg
d.
final_exam_algebra_2_files/i0120004.jpg
 

 9. 

Write the expression (x + 6)(x – 4) as a polynomial in standard form.
a.
x2 – 10x + 2
c.
x2 + 2x – 24
b.
x2 + 10x – 24
d.
x2 + 10x – 10
 
 
Divide using synthetic division.
 

 10. 

final_exam_algebra_2_files/i0150000.jpg
a.
final_exam_algebra_2_files/i0150001.jpg
c.
final_exam_algebra_2_files/i0150002.jpg
b.
final_exam_algebra_2_files/i0150003.jpg
d.
final_exam_algebra_2_files/i0150004.jpg
 

 11. 

final_exam_algebra_2_files/i0160000.jpg
a.
3
b.
–3
c.
–3, 3
d.
no solution
 
 
Graph the equation. Describe the graph and its lines of symmetry.
 

 12. 

final_exam_algebra_2_files/i0180000.jpg
a.
final_exam_algebra_2_files/i0180001.jpg
The graph is a circle of radius 6. Its center is at the origin. Every line through the center is a line of symmetry.
c.
final_exam_algebra_2_files/i0180002.jpg
The graph is a circle of radius 36. Its center is at the origin. Every line through the center is a line of symmetry.
b.
final_exam_algebra_2_files/i0180003.jpg
The graph is a circle of radius 6. Its center is at the origin. The y-axis and the x-axis are lines of symmetry.
d.
final_exam_algebra_2_files/i0180004.jpg
The graph is a circle of radius 36. Its center is at the origin. The y-axis and the x-axis are lines of symmetry.
 

 13. 

Write an equation for the translation of final_exam_algebra_2_files/i0190000.jpg, 2 units right and 4 units down.
a.
final_exam_algebra_2_files/i0190001.jpg
c.
final_exam_algebra_2_files/i0190002.jpg
b.
final_exam_algebra_2_files/i0190003.jpg
d.
final_exam_algebra_2_files/i0190004.jpg
 

 14. 

Write an equation in standard form of an ellipse that has a vertex at (5, 0), a co-vertex at (0, –3), and is centered at the origin.
a.
final_exam_algebra_2_files/i0200000.jpg
c.
final_exam_algebra_2_files/i0200001.jpg
b.
final_exam_algebra_2_files/i0200002.jpg
d.
final_exam_algebra_2_files/i0200003.jpg
 
 
Graph the exponential function.
 

 15. 

final_exam_algebra_2_files/i0220000.jpg
a.
final_exam_algebra_2_files/i0220001.jpg
c.
final_exam_algebra_2_files/i0220002.jpg
b.
final_exam_algebra_2_files/i0220003.jpg
d.
final_exam_algebra_2_files/i0220004.jpg
 
 
Evaluate the logarithm.
 

 16. 

final_exam_algebra_2_files/i0240000.jpg
a.
5
b.
–5
c.
4
d.
3
 
 
Simplify the rational expression. State any restrictions on the variable.
 

 17. 

final_exam_algebra_2_files/i0260000.jpg
a.
final_exam_algebra_2_files/i0260001.jpg
c.
final_exam_algebra_2_files/i0260002.jpg
b.
final_exam_algebra_2_files/i0260003.jpg
d.
final_exam_algebra_2_files/i0260004.jpg
 
 
Find the real-number root.
 

 18. 

final_exam_algebra_2_files/i0280000.jpg
a.
final_exam_algebra_2_files/i0280001.jpg
b.
final_exam_algebra_2_files/i0280002.jpg
c.
final_exam_algebra_2_files/i0280003.jpg
d.
final_exam_algebra_2_files/i0280004.jpg
 

 19. 

The formula for the volume of a sphere is final_exam_algebra_2_files/i0290000.jpg. Find the radius, to the nearest hundredth, of a sphere with a volume of 15 in.3.
a.
3.58 in.
b.
258.01 in.
c.
1.53 in.
d.
1.85 in.
 
 
Multiply and simplify if possible.
 

 20. 

final_exam_algebra_2_files/i0310000.jpg
a.
final_exam_algebra_2_files/i0310001.jpg
b.
final_exam_algebra_2_files/i0310002.jpg
c.
final_exam_algebra_2_files/i0310003.jpg
d.
not possible
 



 
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