Name: _________________________
Algebra Tri-Quarterly Review #2
1. Which function is shown in the table below?
1)
2)
3)
4)
2. What is the result when (3𝑥 − 4)2 is subtracted from 6𝑥 2 ?
3. Factor, 𝑥 3 + 9𝑥 2 − 36𝑥, completely.
4. Which recursively defined function represents the sequence
1)
2)
3)
4)
5. Given the graph of the line represented by the equation
of the new line would be shifted 4 units
1) right
2) up
3) left
4) down
?
, if b is increased by 4 units, the graph
6. 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)
7. 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
8. Which trinomial is equivalent to
1)
2)
3)
4)
9. If
1)
2)
3)
4)
, what is y in terms of e, n, k, and t?
?
10. If the parent function is 𝑓(𝑥) = |𝑥|, which transformations occur in the function 𝑔(𝑥) = −|𝑥 − 6| + 4?
11. Simplify the following polynomial.
4 x  3  ( x 2  8 x  7)
2
12. Simplify the following polynomial.
(4𝑎2 𝑏 3 )3
8𝑎7 𝑏 6
13. The scores a student received on the marking period’s chemistry tests were 96, 72, 84, 60, 100, 81, and 78.
a. Create a box plot for the data.
b. Find the mean, range, and interquartile range (round values to the nearest hundredth).
14. Solve for x algebraically:
If x is a number in the interval
determined these values.
, state all integers that satisfy the given inequality. Explain how you
15. The Reel Good Cinema is conducting a mathematical study. In its theater, there are 200 seats. Adult tickets
cost $12.50 and child tickets cost $6.25. The cinema's goal is to sell at least $1500 worth of tickets for the
theater. Write a system of linear inequalities that can be used to find the possible combinations of adult
tickets, x, and child tickets, y, that would satisfy the cinema's goal. Graph the solution to this system of
inequalities on the set of axes below. Label the solution with an S. Marta claims that selling 30 adult tickets
and 80 child tickets will result in meeting the cinema's goal. Explain whether she is correct or incorrect,
based on the graph drawn.