Algebra 2 district test Quarter 1 (2014)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. A bike rental company charges a flat rate of $15 for the first 8 hours and $2 for each additional hour. Which
equation models the cost C to rent a bike for t hours,.
a)
b)
c)
d)
2. A worker is taking boxes of nails on an elevator. Each box weighs 54lb, and the worker weighs 170lb. The elevator
has a weight limit of 2500lb. Which inequality describes the number of boxes B that he can safely take on each
trip?
a)
b)
c)
d)
3. A designer is designing a handbag. The height of the handbag must be between 16inches, and 18inches. The
desirable height is 17inches. Which absolute value inequality represents the height of the handbag? Let the variable
represent the height of the handbag.
a)
b)
c)
d)
4. For which value of
does
have no solution?
a)
b)
c)
d) 6
5. Consider the equation of a straight line given by
line is true?
I) The straight line has no slope.
II) The point (2 ,12) is on the straightline.
III) The y - intercept of the straight line is 10.
a)
b)
c)
d)
6.
All statements are true.
only I and II are true.
only II and III are true.
only I is true
. Which of the following information reqarding the
Which inequality best describes the graph shown above?
a)
b)
c)
d)
7. A five minuite call form San Francisco to Mexico City costs $0.50. The cost of the call is directly proportional to
duration of the call. How much more will it cost to make a 30minute call from San Francisco to Mexico City ?
a)
b)
c)
d)
8. What is the value of r in the system of equations below?
a) 2.75
b) 1
c)
d)
9.
Consider the Scatter plot shown in the above figure. Which is the best trend line for the given data ?
a) a
b) b
c) c
d) d
10. In a biology study, seedlings of a certain plant were treated with different amounts of pesticide, and then their
growth after six months was measured. The collected data is shown below.
Describe the relation shown in the scatter plot.
a) strong, positive correlation
b) weak, positive correlation
c) strong, negative correlation
d) weak, negative correlation
11. Which of the following is not the graph of a function ?
a)
b)
c)
d)
12.
The graph shown above is the solution to which system of inequalities. Note the shaded region represents the
solution to the system of inequalities.
a)
c)
b)
d)
13. The graph of a parabola
parabola?
is shifted 5 units left and 3 units down.What is the equation of the new
a)
b)
c)
d)
14. Which of the following systems have no solution?
a)
b)
c)
d)
15. Consider the system given below;
What is the solution for x ?
a)
b)
c)
d)
16. Extended Responce:
16) You can choose between two tennis courts at two university compuses to learn how to play tennis. One campus
“ The North End Campus” charges $25 per hour, The other campus “ The South End Campus “ charges $20 per
hour plus a one time registration fee of $10.
a) Let N(t) represent the cost of using the tennis courts at the North End Campus for t hours, and S(t) the cost of
using the tennis courts at the South End Campus for t hours. Write the functions N(t) and S(t) which models the
problem.
b) How many hours must you practice at South End Campus for the cost to be the same as at the North End
Campus? set up an equation and show your solution.
c)If you want to practice for a total of 10 hours, which university campus should you choose? Justify your answer?
Algebra 2 district test Quarter 1 (2014)
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
ANS:
C
B
C
D
C
C
C
C
C
C
B
D
A
A
A
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
PTS:
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
OTHER
16. ANS:
a)
Total 2 points ( One point each for each function )
b)
Total 2 points
Setup
=
Solves for t: 1 point
1 point
c) The South end campus, because N(10) = $250 and S(10) = $210
Total 2 points
Finds N(10), and S(10) with units. ( 1 point )
Justification: The south end campus because it costs less. ( 1 point )
PTS: 6