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Question 1
A fuel is purified by passing it through a clay pipe. Each foot of the clay pipe removes a fixed percentage of impurities in the fuel. Let f(x) represent the amount of pollutants, in tons, left in the fuel after it had passed through x feet of the clay pipe.
f(x) = 10(0.8)x
What does the number 0.8 represent?
a. Every foot of the pipe keeps 80% of the pollutant.
b. Every foot of the pipe removes 80% of the pollutant.
c. The original amount of pollutant present in the fuel was 80 tons.
d.The original amount of pollutant present in the fuel was
Question 2
Marilyn and Tiara went for jogging every day. They increased the number of minutes of jogging every week as described below:
Marilyn: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.
Tiara: Jogged for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Which statement best describes the methods used by Marilyn and Tiara to increase the time they spent jogging?
a. Marilyn's method is linear because the number of minutes increased by an equal factor every week.
b.Tiara's method is linear because the number of minutes increased by an equal number every week.
c.Both Tiara's and Marilyn's methods are exponential because the number of minutes increased by an equal number every week.
d.Both Tiara's and Marilyn's methods are exponential because the number of minutes increased by an equal factor every week.
Question 3:
A video game club charges a fixed annual membership fee of $18 and $3 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $20 the next year?
a. f(n) = 18n + 38
b.f(n) = 38n + 18
c. f(n) = 3n + 38
d. f(n) = 3n + 18
Question 4
Solve for x: 2 over 3 (x − 4) = 2x.
a. 2
b. −2
c. −8
d. −4
Question 5
Maggie has $32 in her money box. She plans to put $9 in her money box every month. If f(n) represents the total amount of money Maggie will have in her money box after n months, which of the following functions represents the relationship between f(n) and n?
a. f(n) = 9n + 32
b. f(n) = 32n + 9
c. f(n) = 41n + 9
d. f(n) = 9n + 41
Question 6
Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after time t:
t (hours) 1 2 3 4 5
f(t) (mg) 150 90 54 32.4 19.4
Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below:
f(t) = 200(0.976)t
Which statement best describes the rate at which Maureen's and Ken's bodies eliminated the antibiotic between 1 hour to 4 hours?
a. Maureen's body eliminated the antibiotic faster than Ken's body.
b. Maureen's body eliminated the antibiotic at the same rate as Ken's body.
c. Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.
d. Maureen's body eliminated the antibiotic at one-fourth of the rate at which Ken's body eliminated the antibiotic.
Question 7
Simplify the following expression:
2x − 6y + 3x2 + 7y − 14x.
a. 3x2 + 12x + y
b. 3x2 − 12x − y
c. 3x2 − 12x + y
d. 3x2 − 12x − 13y
Question 8
The amount of radioactive uranium changes with time. The table below shows the amount of radioactive uranium f(t) left after time t:
t(hours) 0 0.5 1
f(t) 100 50 25
Which exponential function best represents the relationship between f(t) and t?
a. f(t) = 100(0.25)t
b. f(t) = 0.25(100)t
c. f(t) = 100 (0.5)t
d. f(t) = 0.25(50)t

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