Download Algebra 1 Spring Semester Final REVIEW Answer Section

Algebra 1 Spring Semester Final REVIEW
1 The box-and-whisker plot represents a data set. Which statements are true for this data set? Mark all that apply.
2
A
B
C
D
4
6
8
10
12
14
16
18
20
22
24
26
The mean of the data is 11.
The distribution is skewed right.
The data set contains the value 13.
The data set contains the value 3.
2 The histogram shows the results of a survey that asked people how many hours of sleep they get each night.
Which statements are true? Mark all that apply.
S leeping
Frequency
20
15
10
5
3–4
5–6
7–8
9 – 10 11 – 12
Number of hours
A
B
C
D
The data are nearly symmetric.
The standard deviation is the best measure of variation.
The mean is to the right of the median.
The median is the best measure of center.
3 Which statements are valid for the data set shown below? Mark all that apply.
favorite color of students in a class
blue: 27; red: 20; yellow: 16; green: 28; black: 37; white: 34
A
B
C
D
A box-and-whisker plot is an appropriate way to display the data.
A line plot is an appropriate way to display the data.
A bar graph is an appropriate way to display the data.
The data are qualitative.
Use the two-way table to match each description with its value. Use each value, rounded to the nearest percent,
only once.
Age
Where you save
Hard Drive
15-21
101
35-41
44
your documents
22
Cloud
62
A 19%
D 37%
B 41%
E 54%
C 73%
4 percent of 35-41 year olds in the survey that save
documents on their hard drive
7 given that a person saves documents on the cloud,
the percent of 35-41 year olds
5 percent of people in the survey that save
documents on the cloud
8 given that a person is 35-41 years old, the percent
that save documents on their hard drive
6 percent of 15-21 year olds in the survey
9 A marine biologist measures the monthly growth (in centimeters) of coral that are found both inside and outside
the lagoon of an island. The data are organized in the two-way table shown. Is there an association between coral
growth and location?
Coral Growth (centimeters)
Location
0.01-0.29
0.30-0.49
0.50-0.69
0.7-0.99
Inside
20
25
25
20
Outside
18
28
28
18
A There does not appear to be an association between growth and location.
B There appears to be an association with greater growth occurring outside the lagoon.
C There appears to be an association with greater growth occurring inside the lagoon.
D There appears to be an association with lesser growth occurring inside the lagoon.
10 Write a line of best fit for the data.
11 Find the degree of the monomial.
50
y
45
40
12 Find the sum.
35
30
25
20
13 Find the difference.
15
10
5
5
10
15
20
25
30
35
40
45
x
14 Find the product.
A
B
C
D
For numbers 15-18, factor the polynomial
completely.
15
16
17
18
19 The polynomial
represents the
area (in square inches) of a square dinner plate.
Which expression represents the side length of
the plate?
27 A golfer, standing on the second deck at a driving
range, hits a golf ball 20 feet above the ground
with an initial vertical velocity of
138 feet per second. The function
represents the height h (in
feet) of the golf ball after t seconds. Find the
height of the golf ball after 3 seconds. Round
your answer to the nearest foot.
28 The graph of
is shown.
Approximate the zeros of f to the nearest tenth.
y
20 Which values of a and b make the polynomial
a perfect square trinomial? Mark
all that apply.
A
and
B
and
C
and
D
and
E
and
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
For numbers 21-26, solve the equation.
–4
–5
21
A
B
C
D
22
-1.5, -3
-3.4, -0.3
3.4, 0.3
-3.4, 0.3
23
29 Determine whether the quadratic function has a
maximum or minimum value. Then find the
value.
24
A
2
11 or
B no real solutions
C
11 or
2
D
25
26
–2 
30 Solve the system. Check your solution(s).
11 or
31 Which of the following describe the equation
3
? Mark all that apply.
4
A axis of symmetry:
4
vertex: (4, 0)
B axis of symmetry:
vertex: (2, 3)
C
y
C
2
4
y
2
4
–4
2
–2
2
4
x
4
x
–2
–4
–2
2
4
x
–4
–2
domain: all real numbers
range:
3
–4
domain:
3
range: all real numbers
D axis of symmetry:
–3
vertex: (–3, 0)
E maximum value: 3
F minimum value: 0
y
G
D axis of symmetry:
vertex: (2, 3)
E maximum value: 3
F maximum value: 0
y
G
2
4
4
2
2
–4
–4
–2
2
4
–2
–2
x
–2
–4
–4
domain: all real numbers
range:
3
H minimum value: 3
32 Which of the following describe the equation
3
? Mark all that apply.
4
A minimum value: 3
B axis of symmetry:
vertex: (4, 0)
2
4
domain:
3
range: all real numbers
H axis of symmetry:
3
vertex: (3, 0)
33 Choose the quadratic function in standard form
whose graph satisfies the given condition(s).
vertex: (–5, –16)
A
B
C
D
34 Choose the quadratic function in standard form
whose graph satisfies the given condition(s).
C
D
passes through (2, 0)
A
B
C
D
36 Choose the quadratic function in standard form
whose graph satisfies the given condition(s).
range:
A
B
C
D
35 Choose the quadratic function in standard form
whose graph satisfies the given condition(s).
axis of symmetry:
A
B
Match the function below with its graph.
y
A
y
E
8
–4
–2
2
6
–2
4
–4
2
–6
x
4
–8
–4
–2
2
4
x
y
B
y
F
8
–4
–2
2
–2
6
–4
4
–6
2
–8
–4
–2
2
4
x
–10
4
x
y
C
y
G
10
–4
–2
2
4
x
–2
8
–4
6
–6
4
–8
2
–10
–4
y
D
–2
2
4
x
2
4
x
y
H
8
4
6
2
4
–4
–2
–2
2
–4
–4
–2
2
4
x
y
37
2
5
10
17
26
38
44 Evaluate the expression.
39
1
2
40
41 Tell whether the table of values represents a
linear, an exponential, or a quadratic function.
0
1
2
3
4
x
0
4
8
12
16
y
42 Tell whether the table of values represents a
linear, an exponential, or a quadratic function.
1
2
3
4
5
x
y
48
12
3
0.75 0.1875
45 Given that the cube has a volume of 216 cm ,
what is the side length?
46 You want to determine how quickly messages
can spread on a social media website. On day one
you share a message with 8 people. The next day
each of those people share it with 3 people. The
next day, everyone who received the message
shares it with 3 more people, and so on. Write an
equation that represents the geometric sequence.
Then find how many people receive the message
on the 5th day.
For numbers 47-49, solve the equation.
43 Tell whether the table of values represents a
linear, an exponential, or a quadratic function.
1
2
3
4
5
x
47
y
A
5
4
48
3
2
1
–5
49
–4
–3
–2
–1
–1
1
2
3
4
5 x
3
4
5 x
3
4
5 x
–2
–3
50 You start a multi-level marketing plan and recruit
9 participants. At the next level, each participant
recruits 2 participants. The marketing plan
continues for several levels. The number of
participants y of the marketing plan with level n
is
. At what level will 1152
participants have been recruited?
–4
–5
Domain: all real numbers
Range:
y
B
5
4
3
2
51 The graph below is the function
Compare the graph of the function
to the function.
.
1
–5
–4
–3
–2
–1
–1
1
2
–2
y
–3
5
–4
4
–5
3
Domain: all real numbers
Range:
2
1
y
C
–5
–4
–3
–2
–1
–1
1
2
3
4
5
5 x
4
–2
3
–3
2
–4
1
–5
–5
–4
–3
–2
–1
–1
1
2
–2
–3
–4
.
–5
Domain: all real numbers
Range:
52 Graph and describe the domain and range for the
function:
.
y
D
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
–2
–3
–4
–5
Domain: all real numbers
Range:
3
4
5 x
Algebra 1 Spring Semester Final REVIEW
Answer Section
1
2
3
4
5
6
7
8
9
10
11
A, D
A, B
C, D
A
D
E
C
B
A
A
9
12
13
14
15
16
17
18
19
in.
20 B, C, E
21
22
23 x = –4, x = –12
24 A
25
2
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
290 ft
D
maximum value; –6
A, B, E
A, D, E
A
A
B
A
A
D
B
E
linear
42
43
44
45
46
47
48
49
50
51
52
exponential
quadratic
2401
6 cm
;
1
1
7/2
level 8
Translated left one and down 2.
A