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SATMathematics Practice Test 1
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© examsnet.com
Question : 5
Total: 58
(
x
2
y
−
3
y
2
+
5
x
y
2
)
−
(
−
x
2
y
+
3
x
y
2
−
3
y
2
)
Which of the following is equivalent to the expression above?
4
x
2
y
2
8
x
y
2
−
6
y
2
2
x
2
y
+
2
x
y
2
2
x
2
y
+
8
x
y
2
−
6
y
2
Validate
Solution:
Only like terms, with the same variables and exponents, can be combined to determine the answer as shown here:
(
x
2
y
−
3
y
2
+
5
x
y
2
)
−
(
−
x
2
y
+
3
x
y
2
−
3
y
2
)
=
(
x
2
y
−
(
−
x
2
y
)
)
+
(
−
3
y
2
−
(
−
3
y
2
)
)
+
(
5
x
y
2
−
3
x
y
2
)
=
2
x
2
y
+
0
+
2
x
y
2
=
2
x
2
y
+
2
x
y
2
Choices A, B, and D are incorrect and are the result of common calculation errors or of incorrectly combining like and unlike terms.
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