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Math Problems
Algebra 1
Consecutive integer problems
Find the sum of reciprocal of all positive integers that divide
24
24
24
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Two consecutive integers add up to be
233
233
233
. What are these integers?
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what is the sum of all positive interger less than
50
50
50
that are divisible by
3
3
3
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The sum of three consecutive odd integers is
117
117
117
. Form an equation and solve it to find the integers.
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Find two irrational numbers with a product of i
6
6
6
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(i) Find a formula for the sum
S
S
S
of any four consecutive odd numbers.
\newline
(ii) Hence, find the value of
S
S
S
when the greatest odd number is
−
17
-17
−
17
.
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Leona found three consecutive integers such that the product of
5
5
5
and the sum of the first two was
7
7
7
greater than the opposite of the third. What were her integers?
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Find two number that multiply to
140
140
140
and add to
6
6
6
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There are
17
17
17
apples in a basket.
9
9
9
of these apples are green. The rest of them are red.
\newline
(a) What is the ratio of red apples to all apples in the basket?
\newline
(b) What is the ratio of green apples to red apples?
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Three consecutive integers sum to
21
21
21
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers with a sum of
54
54
54
. What are the integers?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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There are
3
3
3
consecutive integers that have a sum of
33
33
33
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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There are
3
3
3
consecutive integers that have a sum of
45
45
45
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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A set of
3
3
3
consecutive integers adds up to
48
48
48
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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There are
3
3
3
consecutive integers that sum to
6
6
6
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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A set of
3
3
3
consecutive integers adds up to
27
27
27
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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There are
3
3
3
consecutive integers with a sum of
18
18
18
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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A set of
3
3
3
consecutive integers adds up to
15
15
15
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
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Three consecutive integers sum to
24
24
24
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers with a sum of
9
9
9
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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The sum of
3
3
3
consecutive integers is
42
42
42
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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The sum of
3
3
3
consecutive integers is
51
51
51
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers that add up to
30
30
30
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers that sum to
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
51
51
51
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
A set of
3
3
3
consecutive integers has a sum of
51
51
51
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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The sum of
3
3
3
consecutive integers is
36
36
36
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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The sum of
3
3
3
consecutive integers is
12
12
12
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers that sum to
57
57
57
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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There are
3
3
3
consecutive integers with a sum of
39
39
39
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers that sum to
39
39
39
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
A set of
3
3
3
consecutive integers adds up to
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
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The sum of three consecutive even integers is
54
54
54
. Find the value of the least of the three.
\newline
Answer:
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The sum of three consecutive integers is
−
39
-39
−
39
. Find the value of the least of the three.
\newline
Answer:
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The sum of three consecutive even integers is
0
0
0
. Find the value of the least of the three.
\newline
Answer:
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Jevonte is the oldest of four siblings whose ages are consecutive odd integers. If the sum of their ages is
128
128
128
, find Jevonte's age.
\newline
Answer:
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The sum of three consecutive integers is
81
81
81
. Find the value of the greatest of the three.
\newline
Answer:
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Yasmin is the youngest of three siblings whose ages are consecutive integers. If the sum of their ages is
57
57
57
, find Yasmin's age.
\newline
Answer:
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Mayerlin is the middle of three siblings whose ages are consecutive even integers. If the sum of their ages is
66
66
66
, find Mayerlin's age.
\newline
Answer:
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Which of the following must be odd?
\newline
I. The sum of
5
5
5
consecutive integers
\newline
II. The sum of
14
14
14
consecutive integers
\newline
III. The product of
11
11
11
consecutive integers
\newline
(A) Only I
\newline
(B) Only II
\newline
(C) Only III
\newline
(D) Both I and II
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The sum of three consecutive natural numbers is
1125
1125
1125
, find the numbers.
\newline
The three numbers in increasing order are
x
x
x
,
x
+
1
x+1
x
+
1
, and
x
+
2
x+2
x
+
2
.
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Which of the following graphs in the
x
y
x y
x
y
-plane have
−
3
-3
−
3
and
5
5
5
as all of their distinct zeros for
−
6
≤
x
≤
6
-6 \leq x \leq 6
−
6
≤
x
≤
6
?
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