Solve Algebraic Equations
Air Force Officer Qualifying Test AFOQT · Flashcards
AIR FORCE OFFICER QUALIFYING TEST AFOQT · FLASHCARDS
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QUESTION
What is the solution
(
x
,
y
)
(x,y)
(
x
,
y
)
to the system
x
+
y
=
7
x+y=7
x
+
y
=
7
and
x
−
y
=
1
x-y=1
x
−
y
=
1
?
QUESTION
Factor the trinomial
x
2
+
7
x
+
12
x^2+7x+12
x
2
+
7
x
+
12
completely.
QUESTION
State the perfect square trinomial formula for
a
2
−
2
a
b
+
b
2
a^2-2ab+b^2
a
2
−
2
ab
+
b
2
.
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ANSWER
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
a^2-2ab+b^2=(a-b)^2
a
2
−
2
ab
+
b
2
=
(
a
−
b
)
2
. The perfect square trinomial formula applies when the square of a binomial expands to match this pattern with negative middle term.
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