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Algebra 2
Solve a system of equations using any method
Kevin is \(3\) years older than Daniel. Two years ago, Kevin was \(4\) times as old as Daniel.
\newline
How old is Daniel now?
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Ishaan is \(72\) years old and William is \(4\) years old.
\newline
How many years will it take until Ishaan is only \(5\) times as old as William?
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Ben is \(3\) times as old as Daniel and is also \(4\) years older than Daniel.
\newline
How old is Ben?
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Christopher is \(20\) years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishaan was \(3\) times as old as Christopher.
\newline
How old is Christopher now?
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
\newline
At a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases
3
3
3
hot dog meals and
3
3
3
hamburger meals, paying a total of
$
36
\$36
$36
. Mr. Hogan buys
1
1
1
hot dog meal and
3
3
3
hamburger meals, spending
$
26
\$26
$26
in all. How much do the meals cost?
\newline
Hot dog meals cost
$
\$
$
_______ each, and hamburger meals cost
$
\$
$
________ each.
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Solve.
\newline
x
=
−
2
x = -2
x
=
−
2
\newline
−
2
x
+
2
y
=
−
8
-2x + 2y = -8
−
2
x
+
2
y
=
−
8
\newline
(
_
_
_
_
,
_
_
_
_
)
(\_\_\_\_, \_\_\_\_)
(
____
,
____
)
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