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Math Problems
Algebra 1
Interpret stem-and-leaf plots
One day, I visited a sports event where the organizers prepared water bottles for the participants. They discovered that
3
3
3
water dispensers could fill
90
90
90
bottles. To ensure they had enough water for all participants, they needed to determine how many bottles could be filled with different numbers of dispensers.
\newline
(a) How many bottles can be filled with
5
5
5
dispensers?
\newline
i)
150
150
150
\newline
ii)
120
120
120
\newline
iii)
100
100
100
\newline
iv)
160
160
160
\newline
(b) If
4
4
4
dispensers are used, how many bottles can they fill?
\newline
i)
100
100
100
\newline
ii)
120
120
120
\newline
iii)
140
140
140
\newline
iv)
160
160
160
\newline
(c) How many dispensers are needed to fill
180
180
180
bottles?
\newline
i)
6
6
6
\newline
ii)
5
5
5
\newline
iii)
8
8
8
\newline
iv)
7
7
7
\newline
(d) How many dispensers are needed to fill
300
300
300
bottles?
\newline
i)
8
8
8
\newline
ii)
9
9
9
\newline
iii)
10
10
10
\newline
iv)
12
12
12
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A line in the
x
y
xy
x
y
-plane passes through the points
(
2
,
0
)
(2, 0)
(
2
,
0
)
and
(
6
,
1
)
(6, 1)
(
6
,
1
)
.
\newline
1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
\newline
5
5
5
\newline
6
6
6
\newline
7
7
7
\newline
−
2
-2
−
2
\newline
−
3
-3
−
3
\newline
1
1
1
\newline
2
2
2
\newline
3
3
3
\newline
4
4
4
\newline
5
5
5
\newline
−
2
-2
−
2
\newline
−
3
-3
−
3
\newline
−
4
-4
−
4
\newline
−
5
-5
−
5
\newline
y
y
y
\newline
x
x
x
\newline
O
O
O
\newline
What is the slope of the line shown?
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Solve
1
2
x
3
=
500
\frac{1}{2} x^{3}=500
2
1
x
3
=
500
.
\newline
The solution is
x
=
x=
x
=
Get tutor help
Solve
1
2
x
3
=
500
\frac{1}{2}x^{3}=500
2
1
x
3
=
500
.
\newline
The solution is x=
□
\square
□
.
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When the Titanic had its maiden voyage in
1912
1912
1912
, it was the largest ship afloat. It weighed
52
,
310
52,310
52
,
310
tons. What was its approximate weight written in scientific notation?
\newline
Choices:
\newline
(A)
5
×
1
0
−
4
5 \times 10^{-4}
5
×
1
0
−
4
tons
\newline
(B)
5
×
1
0
5
5 \times 10^{5}
5
×
1
0
5
tons
\newline
(C)
5
×
1
0
4
5 \times 10^{4}
5
×
1
0
4
tons
\newline
(D)
5
×
1
0
−
5
5 \times 10^{-5}
5
×
1
0
−
5
tons
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Most of Earth's surface is covered in water. The total surface area of Earth's water is
139
,
668
,
500
139,668,500
139
,
668
,
500
square miles. What is the approximate surface area written in scientific notation?
\newline
Choices:
\newline
(A)
1.4
×
1
0
9
1.4 \times 10^9
1.4
×
1
0
9
square miles
\newline
(B)
1.4
×
1
0
8
1.4 \times 10^8
1.4
×
1
0
8
square miles
\newline
(C)
1.4
×
1
0
−
9
1.4 \times 10^{-9}
1.4
×
1
0
−
9
square miles
\newline
(D)
1.4
×
1
0
−
8
1.4 \times 10^{-8}
1.4
×
1
0
−
8
square miles
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The following data points represent the weight (in kilograms) of each of Newman's dogs.
\newline
3
,
2
,
26
,
9
3,2,26,9
3
,
2
,
26
,
9
\newline
Find the mean weight.
\newline
kg
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As part of a statistics project, a math class weighed all the children who were willing to participate.
\newline
Children's weights (lbs)
\newline
Stem
\quad
Leaf
\newline
\(2\)
\quad
\quad
\quad
\(3\)
\newline
\(3\)
\quad
\quad
\quad
\(0\) \(9\)
\newline
\(4\)
\quad
\quad
\quad
\(2\) \(2\) \(3\) \(8\)
\newline
\(5\)
\quad
\quad
\quad
\(2\) \(7\)
\newline
\(6\)
\quad
\quad
\quad
\(3\)
\newline
How many children weighed at least \(38\) pounds but less than \(50\) pounds?
\newline
_
_
_
_
\_\_\_\_
____
children
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