Algebra 2 TEST 1
Algebra 2 TEST 5.2 Review DO ON OWN PAPER!
I. Identify the type of variation and give its constant of variation.
|1. |2. |3. |
|[pic] |[pic] |[pic] |
|0.4 |1 |4 |
|0.8 |2 |2 |
|1 |5 |1.2 |
|16 |7 |1 |
| | | |
|[pic] |[pic] |[pic] |
|4 |6 |1.5 |
|2 |12 |3 |
|1.6 |30 |5 |
|0.1 |42 |6 |
| | | |
| | | |
II. Variation Problems.
|4. Given: [pic] varies directly as [pic], and [pic] when [pic]. Find the |5. Given: [pic] varies inversely as [pic], and [pic] when [pic]. Find the|
|constant of variation and then write the direct variation function. |constant of variation and then write the inverse variation function. |
|6. The time it takes to drive a certain distance varies inversely as the |7. The volume [pic] of a cylinder varies jointly with the height [pic] and|
|speed. If it takes 6 hours to drive a certain distance at a speed of 45 |the radius squared [pic]. [pic] cm[pic] when [pic] cm and [pic] cm. Find |
|mph, how long will it take to drive the same distance going a speed of 40 |[pic] when [pic] cm and [pic] cm. |
|mph? | |
|8. The surface area of a cube varies directly as the square of the length |9. Sketch 3 graphs, one which is a direct variation, one which is an |
|of its side. If the surface area of a cube is 150 in[pic] when the length |inverse variation, and one which is neither a direct or inverse variation. |
|of its side is 5 inches, then what is the surface area when the length of |The key is to understand key characteristics of each type. ( |
|its side is 11 inches? | |
III. Simplify.
|10. [pic] |11. [pic] |12. [pic] |13. [pic] |
III. Multiply or divide. Assume that all expressions are defined.
|14. [pic] |15. [pic] |
|16. [pic] |17. [pic] |
IV. Add or Subtract. State all values for which the expression is undefined.
|18. [pic] |19. [pic] |20. [pic] |21. [pic] |
V. Solve. State all values for which the expression is undefined.
|22. [pic] |23. [pic] |24. [pic] |
|25. [pic] |26. [pic] |27. [pic] |
Answers:
1. inverse variation; k=1.6 2. direct variation; k=6 3. inverse variation; k=6
4. [pic] 5. [pic] 6. 6.75 hours 7. 1271.7 cm[pic]
8. 726 in[pic] 9. direct variation: a line through the origin
inverse variation: a hyperbola with branches in opposite quadrants (corners)
neither: graphs will vary
10. [pic] 11. [pic] 12. [pic] 13. [pic] 14. [pic] 15. [pic] 16. [pic]
17. [pic] 18. [pic]; [pic] 19. [pic]; [pic]
20. [pic]; [pic] 21. [pic]; [pic]
22. [pic]; [pic] 23. [pic]; [pic] 24. [pic]; [pic]
25. [pic]; [pic] 26. [pic]; [pic] 27. no solution; [pic]
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.