Common Core Algebra: Review for BIG Functions Test

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Common Core Algebra: Review for BIG Functions Test

1 1. Which equation represents a quadratic function?
1) /
2) /
3) /
4) /
2.Which relation is a function?
1) /
2) /
3) /
4) /
/ 2. 5. Which type of function is graphed below?

1) / linear
2) / quadratic
3) / exponential
4) / absolute value
3. The table below shows the average diameter of a pupil in a person’s eye as he or she grows older. What is the average rate of change, in millimeters per year, of a person’s pupil diameter from age 20 to age 80?
1) / 2.4
2) / 0.04
3) /
4) /
/ 6. Joseph’s taxi charges $10 for the initial service of any drive. Then, the fee for each mile is $0.75. Which type of function is represented by this situation?
(1)Linear (3) Quadratic
(2)Exponential (4) Absolute Value
W 4. Which equation does not represent a function?
1) /
2) /
3) /
4) /
/ Given 7. The relation . Which replacement for a makes this relation a function?
1) / 1
2) /
3) / 0
4) / 4
8. Which diagram represents a relation in which each member of the domain corresponds to only one member of its range?
1) / / 3) /
2) / / 4) /
/ 11. Which equation is represented by the accompanying graph?

1) /
2) /
3) /
4) /
9. If , and , then k equals
1) / 1
2) / 2
3) / 3
4) / 4
/ If th 12. If the domain of is , which number is not in the range?
1) /
2) / 0
3) / 3
4) / 6
If 10. A mouse population starts with 2,000 mice and grows at a rate of 5% per year. The number of mice after t years can be modeled by the equation, . What is the average rate of change in the number of mice between the second year and the fifth year, rounded to the nearest whole number?
(1)
(1)
(( / The 13. A laboratory technician studied the population growth of a colony of bacteria. He recorded the number of bacteria every other day, as shown in the partial table below.
Which function would accurately model the technician's data?
1) /
2) /
3) /
4) /
14. Veronical earned $150 at work this past week in her paycheck. She wants to buy some necklaces which cost $6 each. She writes a function to model the amount of money she will have left from her paycheck after purcasing a certain number of necklaces. She writes the function, . Determine what the domain and the range represent in this function.
( / 1 17. Jessica is planning to build a square playing field. She wants to see how long the sides of the field will need to be for different areas. Her results are summarized in the following table. What is the average rate of change in the side length as the area increases from 100 square feet to 900 square feet?
2
15. Find the average rate of change between and in the function
(1) -9 (3) 3
(2) -3 (4) 9 / 18. As the value of x increases, which of the following functions would eventually exceed the other three?
(1) (3)
(2) (4)
16. Which correlation coefficient indicates the strongest linear relationship between the variables?
(1) 0.79 (3) -0.63
(2) 0.52 (4) -0.84 / . For 19. During which interval is the function below increasing?

20. A small country in Europe has been experiencing population drop that can be modeled by the equation where y is the population of the country and x is the number of years since 2010. What is the percent change in the population of the country each year?

21. Jeff bought a new car for $10,450. He knows this car’s value will decrease by 20% each year. If Jeff plans to sell the car after five years, what will be the value of the car at that time, to the nearest dollar?

22. If and , find the value of .

23. Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 Calories. On the axes below, graph the function, C, where represents the number of Calories in x mints.

Write an equation that represents . A full box of mints contains 180 Calories. Use the equation to determine the total number of mints in the box.

24.

25. An application developer released a new app to be downloaded. The table below gives the number of downloads for the first four weeks after the launch of the app.

Write an exponential equation that models these data. Use this model to predict how many downloads the developerwould expect in the 26th week if this trend continues. Round your answer to the nearest download.

26) The country of Benin in West Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each year. Which function can be used to find the population 7 years from now?

1) /
2) /
3) /
4) /

27) Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph below shows the temperatures in a kiln while firing a piece of pottery after the kiln is preheated to 200ºF.During which time interval did the temperature in the kiln show the greatest average rate of change?

1) / 0 to 1 hour
2) / 1 hour to 1.5 hours
3) / 2.5 hours to 5 hours
4) / 5 hours to 8 hours

28) Given the following quadratic functions:

and

Which statement about these functions is true?

1) / Over the interval , the average rate of change for is less than that for . / 3) / The function has a greater maximum value than .
2) / The y-intercept of is greater than the y-intercept for . / 4) / The sum of the roots of is greater than the sum of the roots of .

29)

Meghan wants to model this information with a linear function. Nicole wants to use an exponential function. Which model is the better choice? Explain why you chose this model.

Using the model chosen above write the regression equation rounding all values to the nearest thousandth.