You will be taking the Grade 3 Mathematics Practice Test.
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Algebra 1 – Posttest Assessment 4
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Question 1 of 20
1. Question
Use the information provided to answer Part A through Part D for question 1.
Consider the function f(x) shown in the xycoordinate plane, as the parent function.
Part A
The graph of a transformation of the function f(x) is shown.
Which expression defines the transformation shown?
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Question 2 of 20
2. Question
Part B
The graph of a transformation of the function f(x) is shown.
Which expression defines the transformation shown?
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Question 3 of 20
3. Question
Part C
The graph of a transformation of the function f (x) is shown.
Which expression defines the transformation shown?
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Question 4 of 20
4. Question
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Question 5 of 20
5. Question
Use the information provided to answer Part A through Part D for question 2.
The population of a city in 2005 was 36,000. By 2010, the city’s population had grown to 43,800 people.
Part A
Assuming that the population of the city has grown linearly since 2005 and continues to grow at the same rate, what will be the population in 2015?
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Question 6 of 20
6. Question
Part B
Which expression is an appropriate exponential model for the population of the city? Let t represent the time, in years, since 2005.
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Question 7 of 20
7. Question
Part C
Assuming that the population of the city has grown exponentially since 2005 and continues to grow at the same rate,
what will be the population in 2015? Give your answer to the nearest whole number.
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Question 8 of 20
8. Question
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Question 9 of 20
9. Question
Use the information provided to answer Part A and Part B for question 3.
Part A
If the function is graphed in a coordinate plane, which statement would be true?
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Question 10 of 20
10. Question
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Question 11 of 20
11. Question
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Question 12 of 20
12. Question
Part B
What is a factored form of f (x)?
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Question 13 of 20
13. Question
Use the information provided to answer Part A through Part D for question 5.
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream shop.
Part A
Which graph shows the set of points that represents the number of hours that Leah can work in order to earn at least $120 and not work more than 20 hours per month?
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Question 14 of 20
14. Question
Part B
Which pairs (x, y) represent hours that Leah could work to meet the given conditions?
Select all that apply.
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Question 15 of 20
15. Question
Part C
If Leah babysits for 7 hours this month, what is the minimum number of hours she would have to work at the ice cream shop to earn at least $120? Give your answer to the nearest whole hour.
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Question 16 of 20
16. Question
Part D
Leah prefers babysitting over working at the ice cream store. Out of 20 total hours, what is the maximum number of hours she can babysit to be able to earn at least $120 per month? Give your answer to the nearest whole hour.
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Question 17 of 20
17. Question
Use the information provided to answer Part A and Part B for question 6.
The diagram shows two cylinders with bases that have the same center and heights of 12 millimeters.
Part A
Which is a function for the volume, V, that is inside the larger cylinder but outside the one with the smaller radius r?
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Question 18 of 20
18. Question
Part B
Suppose that there is space between the inner and outer cylinders and the radius of the inner cylinder must be an integer greater than or equal to 3.
What is the domain of V?
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Question 19 of 20
19. Question
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Question 20 of 20
20. Question
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