Name: ________________________ Class: ___________________ Date: __________
ID: A
ALGEBRA 1 CORE QUESTIONS FOR CH 9-11 EOC PRACTICE
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Tell whether the graph of the quadratic function y = −x 2 − 10x + 1 opens upward or downward. Explain.
a. Because a > 0, the parabola opens downward.
b. Because a < 0, the parabola opens downward.
c. Because a < 0, the parabola opens upward.
d. Because a > 0, the parabola opens upward.
____
2. Identify the vertex of the parabola. Then give the minimum or maximum value of the function.
a.
b.
c.
d.
The vertex is (3, 6), and the minimum is 6.
The vertex is (3, 6), and the maximum is 6.
The vertex is (3, 6), and the maximum is 3.
The vertex is (3, 6), and the minimum is 3.
1
Name: ________________________
____
3. Find the zeros of the quadratic function f (x) = 2x 2 − 6x − 8 from the graph.
a.
b.
____
ID: A
1.5
4 and –1
c.
d.
–8
2 and –8
4. Find the axis of symmetry of the graph of y = 3x 2 + 6x + 4.
c. x = 1
a. y = −1
b. x = −1
d. y = 1
2
Name: ________________________
____
5. The trajectory of a potato launched from a potato cannon on the ground at an angle of 45 degrees with an
initial speed of 65 meters per second can be modeled by the parabola: f(x) = x – 0.0023x2, where the x-axis is
the ground. Find the height of the highest point of the trajectory and the horizontal distance the potato travels
before hitting the ground.
a.
b.
____
ID: A
height: 109 m; distance: 435 m
height: 21 m; distance: 218 m
c.
d.
height: 218 m; distance: 21 m
height: 435 m; distance: 109 m
6. In which month were the sales at The Music Warehouse the greatest? Use the graph to find the answer.
a.
b.
January
May
c.
d.
3
February
April
Name: ________________________
____
ID: A
7. In which year(s) is the number of employees in company A less than the number of employees in company
B? Use the graph to find the answer.
a.
b.
1996, 1999, and 2003
1997, 1998, and 2004
c.
d.
4
1995, 2000, 2001, and 2002
1995
Name: ________________________
____
ID: A
8. The daily low temperatures in degrees Fahrenheit in a city for February 1–14 are given. Use the data to make
a stem-and-leaf plot.
a.
17
22
21
26
Daily Low Temperatures (ºF)
21
18
22
38
31
February Temperatures
26
c.
Stem | Leaves
1
1
7
8
9
2
1
1
2
2
3
7
8
6
6
6
8
d.
Stem | Leaves
7
9
2
1
2
3
1
8
19
26
February Temperatures
1
7
7
8
9
2
1
1
2
2
3
1
8
6
6
6
6
6
Key: 2|3 means 23
February Temperatures
1
17
Stem | Leaves
Key: 2|3 means 23
b.
28
February Temperatures
Stem | Leaves
6
6
8
Key: 2|3 means 23
1
7
7
9
2
1
1
2
3
1
8
Key: 2|3 means 23
5
2
6
8
Name: ________________________
____
ID: A
9. A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use the
data to make a frequency table with intervals.
15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27
a.
b.
Wolves Observed
c.
Wolves Observed
Number of Wolves
Frequency
Number of Wolves
Frequency
15 − 19
6
14 − 17
5
20 − 24
3
18 − 21
3
25 − 29
5
22 − 25
2
26 − 29
5
Wolves Observed
d.
Wolves Observed
Number of Wolves
Frequency
Number of Wolves
Frequency
14 − 16
3
14 − 17
5
17 − 19
4
18 − 21
3
20 − 24
3
22 − 25
3
25 − 29
5
26 − 29
4
6
Name: ________________________
ID: A
____ 10. Make a histogram for the numbers of students in different classes at a community college.
25, 15, 28, 52, 22, 38, 42, 44, 24, 32, 19, 28, 29, 20, 31
a.
c.
b.
d.
7
Name: ________________________
ID: A
____ 11. Constellations are made up of more than one star. The table shows the number of stars that make up various
constellations. Find the mean, median, mode, and range of the data set.
Constellation Number
Constellation 1
Constellation 2
Constellation 3
Constellation 4
Constellation 5
a.
b.
Number of Stars in Constellation
17
35
49
17
24
mean = 42.5; median = 24;
mode = 23; range = 32
mean = 28.4; median = 24;
mode = 17; range = 32
c.
d.
mean = 28.4; median = 49;
mode = 17; range = 49
mean = 42.5; median = 49;
mode = 17; range = 32
____ 12. List a set of data values that can be represented by the box-and-whisker plot shown.
a.
b.
4, 5, 6, 7, 8, 9, 11, 13, 14, 15, 16
4, 6, 8, 11, 15, 16
c.
d.
8
4, 5, 6, 9, 11, 15, 16
4, 6, 7, 11, 15, 16
Name: ________________________
ID: A
____ 13. The bar graph represents the average temperatures in a city over the first four months of the year. Explain
why the graph is misleading. What might someone believe because of the graph?
a.
b.
c.
d.
The graph is misleading because a bar graph is not a good way to compare temperatures.
Someone might believe that temperatures in March were only a little warmer than in
January. In fact, they were much warmer.
The graph is misleading because the scale on the vertical axis begins at 30.
Someone might believe that the average temperature in February was less than half the
January temperature. In fact, they were only 10 degrees less than those in January.
The graph is misleading because the intervals are too large to show a gradual change in
temperature.
Someone might believe temperatures increased 10 degrees from February 28 to March 1.
In fact, the change in temperature was probably only a degree or two each day.
The graph is misleading because the scale on the vertical axis is inconsistent.
Someone might believe that the temperatures in April were only a little warmer than in
March. In fact, they were more than 10 degrees warmer.
____ 14. A computer is worth $4000 when it is new. After each year it is worth half what it was the previous year.
What will its worth be after 4 years? Round your answer to the nearest dollar.
a. $1000
c. $125
b. $250
d. $500
9
Name: ________________________
ID: A
____ 15. Tell whether the function y = 6(x) 5 is exponential. Explain your answer.
a. Exponential function.
As the x-values are increased by a constant amount, the y-values increase by the same
amount.
b. Exponential function.
As the x-values are increased by a constant amount, the y-values are multiplied by a
constant amount.
c. Not an exponential function.
As the x-values are increased by a constant amount, the y-values are not multiplied by a
constant amount.
d. Not an exponential function.
As the x-values are increased by a constant amount, the y-values increase by the same
amount.
____ 16. Graph y = 3(2) .
x
a.
c.
b.
d.
10
Name: ________________________
ID: A
____ 17. The value of a gold coin picturing the head of the Roman Emperor Vespasian is increasing at the rate of 5%
per year. If the coin is worth $105 now, what will it be worth in 11 years?
a. $169.79
c. $179.59
b. $160.00
d. $162.75
____ 18. Use the information in the table to predict the number of termites in the termite colony after one year.
Termite Colony Population
Time (months)
Number of Termites
0
20
1
80
2
320
3
1,280
a.
b.
5,120 termites
335,544,320 termites
c.
d.
16,777,216 termites
9,920 termites
____ 19. Find the next three terms in the geometric sequence −36, 6, −1, 6 , ...
1
a.
–1, 6, –36
c.
− 1296 ,
b.
1
36
, − 216 ,
d.
− 36 ,
1
1
1296
11
1
1
1
216
1
216
, − 36
1
, − 1296
1
ID: A
ALGEBRA 1 CORE QUESTIONS FOR CH 9-11 EOC PRACTICE
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
B
B
B
B
A
D
C
C
C
B
B
D
B
B
C
B
C
B
D
1