high school hs algebra 1 1819 gse alg. i comparing & contrasting...

High School HS Algebra 1

1819 GSE Alg. I Comparing & Contrasting Functions Full Touchstone

ID: 284338 — Standard: GSE F-LE.1

1.

A. Linear

B. Quadratic

C. Exponential

D. Other


2. A fitness center requires its customers to pay an initial membership fee of $50 plus a $3

usage fee each time they use the facilities. What type of function can be modeled by this

scenario?

A. Linear

B. Quadratic

C. Exponential

D. Other


3. In a certain nature preserve there are 6500 Eastern Meadowlarks, and every decade, the

population in the preserve is halved. What type of function can be modeled by this scenario?

A. Linear

B. Quadratic

C. Exponential

D. Other


4. A pond has a minnow population of 20,000 that is increasing at a rate of 5% per year. The

minnows' algae food supply is decreasing so that it supports 750 less minnows each year.

How is the population of minnows growing, and how is the supply of algae declining?

A. The minnow population is growing exponentially and the algae supply is declining

linearly.

B. Both the minnows’ population growth and the algae supply’s decline are exponential.

C. The minnow population is increasing linearly and the algae supply is declining

exponentially.

D. Both the minnows’ population growth and the algae supply’s decline are linear.


5.

A. Holly is correct because the y-values triple each time.

B. Holly is correct because the ratio of the change in the y - values and x - values is

constant.

C. Holly is incorrect because the x - values are not consecutive.

D. Holly is incorrect because the y - values triple each time.


6. The highest possible grade for a school science project is 100 points. Each day the project is

late; the teacher deducts 5 points from the grade.

Which function models the relationship?

A. C.

B. D.


7. You are conducting a science experiment in which you measure at equal intervals the number

of mold cells present on a piece of bread. At the start of the experiment, there are 20 mold

cells. Each time a scheduled observation is made, the number of mold cells has tripled. Write

an equation for the number of mold cells present, where x stands for the observation number.

A. y = 3x + 20

B. y = 3x2 + 20

C. y = 20(3)x

D. y = 20x3


8.

A. As x increases over time, g(x) > h(x).

B. As x increases over time, g(x) < h(x).

C. g(x) and h(x) grow at a constant rate.

D. g(x) and h(x) grow at the same rate over the interval [0,1].


9.

A.

B.

C.

D.


10.

A. x = 0

B. x = 1

C. x = 2

D. x = 3


11. The function y = 5,000 + 420t represents the total amount of money, in dollars, Erica will

have paid for her car in the coming three years, where t is the number of months since the

purchase. Which of the following is a correct statement about the meaning of the parameters

in this function?

A. The 5,000 is the amount she still owed after the down payment.

B. The 5,000 is the total cost of the car.

C. The 420 is the total cost of the car divided by 12 months.

D. The 420 is the amount she pays each month.


12. Which could be the graph of y = ax + b if a > 0 and b < 0?

A. C.

B. D.


13. The population of a small ski town in Colorado was 2500 in 2012. The population has been

increasing at a rate of about 15% per year. The equation used to model the growth function

over time in t years is g(t) = 2500(1.15)t. What does the y-intercept indicate in the context of

this scenario?

A. The rate of growth of the population

B. The population after t years

C. The population in the year 2012

D. The amount of time the population increases

ID: 360257 — Standard: GSE F-BF.3

14. Which transformation of y = f(x) moves the graph 4 units to the right and 2 units down?

A. y = f(x + 4) - 2

B. y = f(x - 4) - 2

C. y = f(x + 2) - 4

D. y = f(x - 2) - 4


15.

A. C.

B. D.


16. The minimum point on the graph of the equation y = f(x) is (-1,-3). What is the minimum

point on the graph of equation y= f(x) +5?

A. (-1, 2)

B. (-1,-8)

C. (4,-3)

D. (-6,-3)

ID: 325377 — Standard: GSE F-IF.1

17. Given the following set of ordered pairs {(-2, 3), (a, 4), (1, 9), (0, 7)}, which of the

following values for a makes this set a function?

A. -2

B. 0

C. 1

D. 4


18. Which of the following is not a function?

A. C.

B. D.


19. A construction company uses the function f(p), where p is the number of people working on

a project, to model the amount of money it spends to complete a project. What would be a

reasonable domain would be?

A. Integers

B. Postive Integers

C. Positive Real Numbers

D. Real Numbers


20. A theater’s maximum capacity is 500 people. The cost of admission to a play at the theater

is $24. The revenue function R = 24n, in which n is the number of tickets sold, represents the

amount of income from admissions for one performance. What values of n represent a

reasonable domain for the revenue function in this situation?

A. Any whole number such that 0 ≤ n ≤500

B. Any whole number such that 0 ≤ n ≤ 12,000

C. Any real number such that 0 ≤ n ≤ 500

D. Any real number


21.

The graph and table show the number of cartons that two machines seal in different intervals

of time.

Which statement is correct?

A. Machine A and Machine B will seal the same number of cartons in 8 minutes.

B. Machine A and Machine B will seal the same number of cartons in 10 minutes.

C. The rate at which Machine A seals the cartons is less than the rate at which Machine B

seals the cartons.

D. The rate at which Machine A seals the cartons is greater than the rate at which Machine B

seals the cartons.


22.

Which of the given functions has the greatest y-intercept?

A. f(x)

B. g(x)

C. h(x)

D. f(x) and g(x) are tied for highest.


23.

Which function, f(x) or g(x), has the greater rate of change over the interval [0, 3]?

A. f(x)

B. g(x)

C. They have the same rate of change.

D. It is not possible to compare their rates of change.


24.

Part A: What type of sequence is modeled by the table?

A. Arithmetic.

B. Geometric.

C. Quadratic.

D. None of the above.


25.

Part B: Explain your reasoning from Part A.

Part C: Write an explicit rule to model the table.

(NOTE: Your teacher will score your response to this question using a 2 point rubric.)


26. In the following sequence, what should the next term be in order to make it represent a

linear function? Explain your reasoning.

50, 60, ...

(NOTE: Your teacher will score this item with a 2-point rubric.)


27. In the following sequence, what should the next term be in order to make it represent an

exponential function? Explain your reasoning.

50, 60, ...

(NOTE: Your teacher will score this item with a 2-point rubric.)

high school hs algebra 1 1819 gse alg. i comparing & contrasting...

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