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Math Problems
Algebra 1
Identify a sequence as explicit or recursive
Which term describes this figure? A dot labeled
C
C
C
.
C
C
C
\newline
Choose
1
1
1
answer:
\newline
Choose
1
1
1
answer:
\newline
(Choice A) Angle
A
A
A
Angle
\newline
(Choice B) Line
B
B
B
Line
\newline
(Choice C) Line segment
C
C
C
Line segment
\newline
(Choice D) Point
D
D
D
Point
\newline
(Choice E) Ray
E
E
E
Ray
\newline
(Choice F) None of these
F
F
F
None of these Related content
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Select the expressions that are equivalent to
7
y
+
y
7y + y
7
y
+
y
.
\newline
Multi-select Choices:
\newline
(A)
8
y
8y
8
y
\newline
(B)
8
y
+
y
8y + y
8
y
+
y
\newline
(C)
4
y
+
5
y
4y + 5y
4
y
+
5
y
\newline
(D)
3
y
+
6
y
3y + 6y
3
y
+
6
y
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Select the expressions that are equivalent to
9
s
+
8
s
9s + 8s
9
s
+
8
s
.
\newline
Multi-select Choices:
\newline
(A)
s
×
17
s \times 17
s
×
17
\newline
(B)
6
s
+
3
s
+
8
s
6s + 3s + 8s
6
s
+
3
s
+
8
s
\newline
(C)
16
s
16s
16
s
\newline
(D)
5
s
+
7
s
+
5
s
5s + 7s + 5s
5
s
+
7
s
+
5
s
Get tutor help
Select the expressions that are equivalent to
6
b
+
6
b
6b + 6b
6
b
+
6
b
.
\newline
Multi-select Choices:
\newline
(A)
3
b
+
6
b
+
3
b
3b + 6b + 3b
3
b
+
6
b
+
3
b
\newline
(B)
7
b
+
6
b
7b + 6b
7
b
+
6
b
\newline
(C)
2
b
+
4
b
+
6
b
2b + 4b + 6b
2
b
+
4
b
+
6
b
\newline
(D)
b
+
12
b + 12
b
+
12
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Which of the following is a whole number?
\newline
Choices:
\newline
(A)
−
10
-10
−
10
\newline
(B)
0
0
0
\newline
(C)
5
4
\frac{5}{4}
4
5
\newline
(D)
6.300
6.300
6.300
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For the real-valued functions
g
(
x
)
=
x
−
2
x
+
5
g(x)=\frac{x-2}{x+5}
g
(
x
)
=
x
+
5
x
−
2
and
h
(
x
)
=
2
x
−
11
h(x)=2x-11
h
(
x
)
=
2
x
−
11
, find the composition
g
∘
h
g \circ h
g
∘
h
and specify its domain using interval notation.
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Select the expressions that are equivalent to
9
t
+
9
t
9t + 9t
9
t
+
9
t
.
\newline
Multi-select Choices:
\newline
(A)
11
t
+
3
t
+
4
t
11t + 3t + 4t
11
t
+
3
t
+
4
t
\newline
(B)
t
×
18
t \times 18
t
×
18
\newline
(C)
7
t
+
2
t
+
9
t
7t + 2t + 9t
7
t
+
2
t
+
9
t
\newline
(D)
18
t
18t
18
t
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
6
a
n
−
1
+
2
a
n
−
3
+
14
n
+
3
a_n = 6a_{n - 1} + 2a_{n - 3} + 14n + 3
a
n
=
6
a
n
−
1
+
2
a
n
−
3
+
14
n
+
3
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
98
n
3
+
98
n
2
+
19
n
+
41
a_n = -98n^3 + 98n^2 + 19n + 41
a
n
=
−
98
n
3
+
98
n
2
+
19
n
+
41
\newline
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
2
×
1
(
n
+
3
)
+
8
a_n = 2 \times 1^{(n + 3)} + 8
a
n
=
2
×
1
(
n
+
3
)
+
8
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
2
a
n
−
1
+
7
n
+
3
a_n = -2a_{n - 1} + 7n + 3
a
n
=
−
2
a
n
−
1
+
7
n
+
3
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
87
n
3
−
76
n
2
−
78
n
a_n = 87n^3 - 76n^2 - 78n
a
n
=
87
n
3
−
76
n
2
−
78
n
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
73
n
2
a_n = 73n^2
a
n
=
73
n
2
\newline
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
9
a
n
−
1
+
2
a
n
−
2
+
9
a
n
−
3
a_n = -9a_{n - 1} + 2a_{n - 2} + 9a_{n - 3}
a
n
=
−
9
a
n
−
1
+
2
a
n
−
2
+
9
a
n
−
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
2
a
n
−
3
+
8
a
n
−
4
−
2
n
2
−
8
n
+
6
a_n = 2a_{n - 3} + 8a_{n - 4} - 2n^2 - 8n + 6
a
n
=
2
a
n
−
3
+
8
a
n
−
4
−
2
n
2
−
8
n
+
6
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
29
n
a_n = -29n
a
n
=
−
29
n
\newline
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
5
a
n
−
2
+
a
n
−
3
−
15
n
−
5
a_n = 5a_{n - 2} + a_{n - 3} - 15n - 5
a
n
=
5
a
n
−
2
+
a
n
−
3
−
15
n
−
5
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
21
a_n = -21
a
n
=
−
21
\newline
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
8
×
3
n
+
2
a_n = 8 \times 3^n + 2
a
n
=
8
×
3
n
+
2
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
85
n
3
−
24
a_n = 85n^3 - 24
a
n
=
85
n
3
−
24
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
(
−
1
)
(
n
+
3
)
+
4
a_n = -(-1)^{(n + 3)} + 4
a
n
=
−
(
−
1
)
(
n
+
3
)
+
4
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
2
a
n
−
1
−
12
n
2
+
10
n
−
17
a_n = 2a_{n - 1} - 12n^2 + 10n - 17
a
n
=
2
a
n
−
1
−
12
n
2
+
10
n
−
17
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
7
(
−
9
)
(
n
+
3
)
+
7
a_n = 7(-9)^{(n + 3)} + 7
a
n
=
7
(
−
9
)
(
n
+
3
)
+
7
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
4
a
n
−
1
+
5
a
n
−
4
+
19
n
+
3
a_n = -4a_{n - 1} + 5a_{n - 4} + 19n + 3
a
n
=
−
4
a
n
−
1
+
5
a
n
−
4
+
19
n
+
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
6
a
n
−
1
+
6
a
n
−
3
+
3
a
n
−
4
a_n = -6a_{n - 1} + 6a_{n - 3} + 3a_{n - 4}
a
n
=
−
6
a
n
−
1
+
6
a
n
−
3
+
3
a
n
−
4
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
6
(
−
1
7
)
(
n
+
4
)
+
1
a_n = -6(-\frac{1}{7})^{(n + 4)} + 1
a
n
=
−
6
(
−
7
1
)
(
n
+
4
)
+
1
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
6
(
−
1
)
(
n
+
1
)
+
9
a_n = -6(-1)^{(n + 1)} + 9
a
n
=
−
6
(
−
1
)
(
n
+
1
)
+
9
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
4
a
n
−
1
−
5
a
n
−
2
+
3
n
−
3
a_n = 4a_{n - 1} - 5a_{n - 2} + 3n - 3
a
n
=
4
a
n
−
1
−
5
a
n
−
2
+
3
n
−
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
3
n
3
a_n = -3n^3
a
n
=
−
3
n
3
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
8
a
n
−
2
+
5
a
n
−
3
+
6
a
n
−
4
a_n = -8a_{n - 2} + 5a_{n - 3} + 6a_{n - 4}
a
n
=
−
8
a
n
−
2
+
5
a
n
−
3
+
6
a
n
−
4
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
6
a
n
−
1
+
5
a
n
−
3
+
8
n
2
−
17
a_n = 6a_{n - 1} + 5a_{n - 3} + 8n^2 - 17
a
n
=
6
a
n
−
1
+
5
a
n
−
3
+
8
n
2
−
17
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
5
a
n
−
2
+
5
a
n
−
3
+
8
a
n
−
4
a_n = -5a_{n - 2} + 5a_{n - 3} + 8a_{n - 4}
a
n
=
−
5
a
n
−
2
+
5
a
n
−
3
+
8
a
n
−
4
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
4
a
n
−
1
−
3
a
n
−
3
+
10
n
2
+
4
a_n = -4a_{n - 1} - 3a_{n - 3} + 10n^2 + 4
a
n
=
−
4
a
n
−
1
−
3
a
n
−
3
+
10
n
2
+
4
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
9
(
4
5
)
n
−
3
−
8
a_n = -9\left(\frac{4}{5}\right)^{n - 3} - 8
a
n
=
−
9
(
5
4
)
n
−
3
−
8
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
6
a
n
−
1
+
5
a
n
−
4
+
15
n
2
−
6
n
−
1
a_n = -6a_{n - 1} + 5a_{n - 4} + 15n^2 - 6n - 1
a
n
=
−
6
a
n
−
1
+
5
a
n
−
4
+
15
n
2
−
6
n
−
1
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
89
n
3
a_n = 89n^3
a
n
=
89
n
3
\newline
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
−
9
(
−
1
)
(
n
−
3
)
−
9
a_n = -9(-1)^{(n - 3)} - 9
a
n
=
−
9
(
−
1
)
(
n
−
3
)
−
9
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
6
a
n
−
2
−
2
a
n
−
3
a_n = -6a_{n - 2} - 2a_{n - 3}
a
n
=
−
6
a
n
−
2
−
2
a
n
−
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
3
a
n
−
1
−
5
a
n
−
2
+
4
n
−
11
a_n = -3a_{n - 1} - 5a_{n - 2} + 4n - 11
a
n
=
−
3
a
n
−
1
−
5
a
n
−
2
+
4
n
−
11
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
2
a
n
−
1
−
3
a
n
−
2
+
9
a
n
−
3
a_n = -2a_{n - 1} - 3a_{n - 2} + 9a_{n - 3}
a
n
=
−
2
a
n
−
1
−
3
a
n
−
2
+
9
a
n
−
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
\newline
a
n
=
4
a
n
−
2
−
3
a
n
−
3
+
10
n
2
+
3
n
−
7
a_n = 4a_{n - 2} - 3a_{n - 3} + 10n^2 + 3n - 7
a
n
=
4
a
n
−
2
−
3
a
n
−
3
+
10
n
2
+
3
n
−
7
\newline
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
2
(
−
5
9
)
(
n
+
3
)
+
3
a_n = -2\left(-\frac{5}{9}\right)^{(n + 3)} + 3
a
n
=
−
2
(
−
9
5
)
(
n
+
3
)
+
3
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
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Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
−
2
a
n
−
1
−
4
a
n
−
4
+
10
n
−
3
a_n = -2a_{n - 1} - 4a_{n - 4} + 10n - 3
a
n
=
−
2
a
n
−
1
−
4
a
n
−
4
+
10
n
−
3
\newline
Choices:
\newline
(A)explicit
\newline
(B)recursive
\newline
Get tutor help
Which word best describes this formula for the sequence
a
n
a_n
a
n
?
\newline
a
n
=
9
(
−
3
2
)
n
−
2
−
3
a_n = 9\left(-\frac{3}{2}\right)^{n - 2} - 3
a
n
=
9
(
−
2
3
)
n
−
2
−
3
\newline
Choices:
\newline
(A) explicit
\newline
(B) recursive
\newline
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Evaluate the expression for the given values.
\newline
8
x
2
+
7
y
;
x
=
4
,
y
=
9
8 x^{2}+7 y ; \quad x=4, y=9
8
x
2
+
7
y
;
x
=
4
,
y
=
9
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Find the
5
th
5^{\text {th }}
5
th
term in the expansion of
(
x
+
3
y
)
5
(x+3 y)^{5}
(
x
+
3
y
)
5
in simplest form.
\newline
Answer:
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Find the
6
6
6
th term in the expansion of
(
x
−
3
y
)
7
(x-3 y)^{7}
(
x
−
3
y
)
7
in simplest form.
\newline
Answer:
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Find the
5
th
5^{\text {th }}
5
th
term in the expansion of
(
5
x
−
y
)
6
(5 x-y)^{6}
(
5
x
−
y
)
6
in simplest form.
\newline
Answer:
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27
27
27
What is the value of the
y
y
y
-intercept of the graph of
g
(
x
)
=
73
(
4
5
)
x
g(x)=73\left(\frac{4}{5}\right)^{x}
g
(
x
)
=
73
(
5
4
)
x
?
\newline
Record your answer and fill in the bubbles on your answer document.
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Which expression is equivalent to
4
g
+
4
g
4g + 4g
4
g
+
4
g
?
\newline
Choices:
\newline
(A)
8
g
8g
8
g
\newline
(B)
g
+
8
g + 8
g
+
8
\newline
(C)
7
g
7g
7
g
\newline
(D)
g
8
g^8
g
8
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1
2
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