Equivalent Expressions – Part 2
We can use what we know about writing equivalent expressions to identify when two expressions are equal. For example…
Which expression is equivalent to z + z ?
Two expressions are equivalent when they result in the same solution regardless of
what number you plug in for the variable.
Let’s try plugging in the number 2 to see which answer is equivalent to z + z.
Both equations seem equivalent. But let’s try when z = 3
In order to be equivalent, the expressions must always be equal.
Therefore, the answer is A.
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True or False. 3e + 2 – 1 is equivalent to 3e + 1.
The equation combines like terms.
True or False. 4(3 – t) is equivalent to 12 – 4t.
The equation uses the distributive property.
Joe argues that n + 1 is equivalent to 1n. Why is he incorrect?
He is incorrect because the two equations are not always equal.
He attempted to combine like terms but n and 1 are not “like terms”.
Jo argues that
Why is she correct?
She is correct because she uses the distributive property to ensure
the equations are equivalent.
Georgia argues that p(1 + 2p) is equivalent to 4p.
Why is she incorrect?
She is incorrect because the two equations are not always equal.
She attempted to use the distributive property but p times 2p is