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Math Problems
Algebra 2
Introduction to partial sums
Five students are running a race. How many different ways can they come in first, second, third, fourth, and fifth?
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Answer:
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Rajani has
4
4
4
posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?
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Answer:
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Finn and Gabby are selling raffle tickets for a school fundraiser. If Gabby sold
17
17
17
fewer raffle tickets than Finn did, which of the following represents the relationship between
f
f
f
, the number of tickets Finn sold and
g
g
g
, the number of tickets Gabby sold?
\newline
Choose
1
1
1
answer:
\newline
(A)
f
+
g
=
17
f+g=17
f
+
g
=
17
\newline
(B)
f
−
g
=
17
f-g=17
f
−
g
=
17
\newline
(C)
f
g
=
17
f g=17
f
g
=
17
\newline
(D)
f
g
=
17
\frac{f}{g}=17
g
f
=
17
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Mara is
m
m
m
years old, and her younger brother Kyle is
k
k
k
years old. If Mara is
3
3
3
years older than Kyle, which of the following correctly expresses
k
k
k
in terms of
m
m
m
?
\newline
Choose
1
1
1
answer:
\newline
(A)
k
=
m
+
3
k=m+3
k
=
m
+
3
\newline
(B)
k
=
m
−
3
k=m-3
k
=
m
−
3
\newline
(C)
k
=
3
m
k=3 m
k
=
3
m
\newline
(D)
k
=
3
−
m
k=3-m
k
=
3
−
m
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Find the first three partial sums of the series.
\newline
1
+
6
+
11
+
16
+
21
+
26
+
⋯
1 + 6 + 11 + 16 + 21 + 26 + \cdots
1
+
6
+
11
+
16
+
21
+
26
+
⋯
\newline
Write your answers as integers or fractions in simplest form.
\newline
S
1
=
S_1 =
S
1
=
____
\newline
S
2
=
S_2 =
S
2
=
____
\newline
S
3
=
S_3 =
S
3
=
____
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