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Equivalent Expressions – Part 2
Overview
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.
Answer
True
The equation combines like terms.
True or False. 4(3 – t) is equivalent to 12 – 4t.
Answer
True
The equation uses the distributive property.
Joe argues that n + 1 is equivalent to 1n. Why is he incorrect?
Answer
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?
Answer
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?
Answer
She is incorrect because the two equations are not always equal.
She attempted to use the distributive property but p times 2p is
Click on the quizzes below to test your knowledge.
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