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SAT Mathematics Practice Test 7
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© examsnet.com
Question : 4
Total: 59
Which of the following complex numbers is equal to
(
5
+
12
i
)
−
(
9
i
2
−
6
i
)
, for
i
=
√
−
1
?
−
14
−
18
i
−
4
−
6
i
4
+
6
i
14
+
18
i
Validate
Solution:
Applying the distributive property, the original expression is equivalent to
5
+
12
i
–
9
i
2
+
6
i
. Since
i
=
√
−
1
, it follows that
i
2
=
−
1
. Substituting –1 for
i
2
into the expression and simplifying yields
5
+
12
i
+
9
+
6
i
, which is equal to
14
+
18
i
.
© examsnet.com
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