Explaining Reasoning
Pre-Algebra · Flashcards
PRE-ALGEBRA · FLASHCARDS
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QUESTION
Which number is a counterexample to "squaring a positive number always makes it larger": 2 or
1
2
\frac{1}{2}
2
1
?
QUESTION
An area model for
3
(
x
+
4
)
3(x + 4)
3
(
x
+
4
)
is a rectangle of width 3 split into lengths
x
x
x
and 4. What are the areas of the two parts?
QUESTION
What property justifies going from
2
x
+
3
=
13
2x + 3 = 13
2
x
+
3
=
13
to
2
x
=
10
2x = 10
2
x
=
10
?
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ANSWER
The subtraction property of equality: subtracting 3 from both sides keeps the equation balanced.
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