MATH 125 East Los Angeles College Intermediate Algebra Questions Please handwrite, and scan or take a picture and upload back to me. Please make sure all n

MATH 125 East Los Angeles College Intermediate Algebra Questions Please handwrite, and scan or take a picture and upload back to me. Please make sure all necessary work is shown. Math 125 Final Exam Review
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1. Solve.
a. |2 − 3| − 6 = −1
b. | + 5| + 2 = 8
2. Solve. Write the answer in interval notation.
a. 2| + 3| − 7 ≥ 5
b. | − 5| < 7 c. |4 + 1| ≥ 5 3. Solve. Write the answer in interval notation. a. 2 − 3 − 4 < 0 b. −5 +4 2 ≥0 c. − 5 − 36 ≥ 0 4. Solve using any method. a. 2 2 − 4 − 3 = 0 b. 2 − 2 + 2 = 0 c. 2 − 20 = 8 d. (2 − 1)2 = −9 5. Solve. a. 4 + 2 2 − 15 = 0 b. 4 − 3 2 − 4 = 0 6. Solve. a. √ + 4 + 2 = 5 3 b. √ − 1 = 2 7. Solve. Write the answer in interval notation. a. 3 ≤ 6 or 2 − 1 ≥ 9 b. − 1 < 3 and + 5 ≥ 4 8. Solve. a. log 3 ( − 4) + log 3( + 4) = 2 b. log 5 ( + 3) − log 5 = 2 9. Solve. a. 35 −6 = 81 b. 2 −3 = 5 Math 125 Final Exam Review Page 1 10. Solve. a. −2 = −24 b. 4 ln = 5 11. Given ( ) = −( − 1)2 + 2, find the following. a. State whether the graph opens upward or downward. b. Find the vertex. c. Find the equation of axis of symmetry. d. Graph using 5 points. 12. Find the x-intercepts and the y-intercept if there is any. a. ( ) = 2 − 12 + 27 b. ( ) = 2 − 5 + 7 c. ( ) = −( − 3)2 + 1 13. Solve by completing the square. 2 − 8 + 5 = 0 14. Solve by using the quadratic formula. 3 2 − 6 + 5 = 0 15. Graph. 2 + 3 < −3 a. � 2 + ≥ −5 + 2 ≥ 2 b. � − ≤ 0 16. Solve by elimination method. 5 − 2 = 4 a. � 2 + 3 = 13 + − = 4 b. �3 − 5 + 4 = 3 6 − 7 − 2 = 2 − + = −4 c. � 3 + 2 − = 5 −2 + 3 − = 15 17. Solve by substitution method. − 4 = −24 � 7 + 5 = −3 18. Solve by Cramer’s Rule. 2 − 5 = 1 � 3 + = −7 Math 125 Final Exam Review Page 2 19. Simplify. a. √75 + 7√3 − √27 b. 4√32 − 3√50 c. �√3 + 2√2��√2 − √5� d. √−180 3 e. √108 7 11 4 f. √32 8 3 g. (4 − )(7 + 3 ) h. 1−3 4+ 20. Rationalize the denominator. a. b. c. 5 √6 3 4√2 5+√2 3−√2 21. Find the vertex. State whether there is a maximum value or a minimum value and find the value. a. ( ) = ( − 2)2 − 1 b. ( ) = −2 2 + 4 + 5 22. Graph. a. ( ) = 2 +3 b. ( ) = 3 − 4 c. ( ) = −( + 2)2 + 9 23. If ( ) = 2 − 7 and ( ) = 2 + 3, find ( ° )( ) and simplify. 1 2 24. If ( ) = + 3, find the inverse. 25. Write as a single logarithm. 5 log − 3 log − log 26. Expand. 5 2 log 2 � 3 � 27. Graph. 2 + 2 + 6 − 4 + 9 = 0 28. Graph. ( − 4)2 ( − 3)2 + =1 9 16 29. Graph. Math 125 Final Exam Review Page 3 2 2 − =1 16 25 30. Find the vertex and graph. a. = 2 + 6 + 7 b. = −2 2 + 1 31. A loan of $20,000 is made at 7% interest, compounded annually. After years, the amount due, , is given by the function ( ) = 20,000(1.07) . After how many years will the amount due reach $25,000? Math 125 Final Exam Review Page 4 Math 125 Final Exam Review 1. a. 4, −1 b. 1, −11 2. a. (−∞, −9] ∪ [3, ∞) b. (−2, 12) Answer Key 11. a. downward b. (1, 2) c. = 1 d. 3 c. �−∞, − � ∪ [1, ∞) 2 3. a. (−1, 4) b. (−∞, −4) ∪ [5, ∞) c. (−∞, −4] ∪ [9, ∞) 4. a. 2±√10 2 b. 1 ± c. −2, 10 d. 1±3 2 5. a. ±√3, ± √5 b. ±2, ± 6. a. 5 b. 9 12. a. x-int: (3, 0), (9, 0), y-int: (0, 27) b. x-int: none, y-int: (0, 7) c. x-int: (2, 0), (4, 0), y-int: (0, −8) 13. 4 ± √11 14. 3± √6 3 15. a. 7. a. (−∞, 2] ∪ [5, ∞) b. [−1, 4) 8. a. 5 b. 1 8 9. a. 2 b. log 5 log 2 b. + 3 ≅ 5.3219 10. a. ln 12 ≅ 2.4849 b. 5/4 ≅ 3.4903 16. a. (2, 3) b. (3, 2, 1) c. (−1, 5, 2) Math 125 Final Exam Review Page 5 17. (−4, 5) c. 18. (−2, −1) 19. a. 9√3 b. √2 c. √6 − √15 + 4 − 2√10 d. 6 √5 3 e. 3 2 3 √4 2 4 f. 2 2 √2 3 g. 31 + 5 h. 1 17 − 13 17 5√6 6 3√2 b. 8 17+8√2 c. 7 20. a. 21. a. (2, −1), minimum: −1 b. (1, 7), maximum: 7 22. a. 23. ( ° )( ) = 4 2 + 12 + 2 24. −1 ( ) = 2 − 6 5 � 3 25. log � 26. log 2 5 + 2 log 2 − log 2 − 3 log 2 27. Center: (−3, 2) Radius: 2 b. Math 125 Final Exam Review Page 6 28. Center: (4, 3) 29. 30. a. (−2, −3) b. (1, 0) 31. About 3.3 years Math 125 Final Exam Review Page 7 Purchase answer to see full attachment