Write equivalent expressions using properties of operations and verify equivalence using substitution.
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This lesson reviews concepts from 6th and 7th grades; Anchor Problems can be chosen based on what specific concept and/or skill review students need. Find more guidance on adapting our math curriculum for remote learning here.
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Expression A: $${12a-5b-8}$$
Expression B: $${ -b+3a-4}$$
$${\frac{1}{2}(6x+18)}$$
$${24m-6}$$
For each expression, write an equivalent simplified expression. Then verify that the expressions are equivalent by substituting a value in for $${ x}$$ and evaluating.
Original Expression | Simplified Expression | Equivalent? |
$$2+3(x+4)$$ | ||
$$2+3(x-4)$$ | ||
$$2-3(x+4)$$ | ||
$$2-3(x-4)$$ |
Write an expression for the sequence of operations. Then simplify each expression.
Writing Expressions, accessed on Aug. 30, 2017, 4:17 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Simplify each expression.
a. $${\frac{5}{3}x-4\left ( x-\frac{1}{3} \right )}$$
b. $${-\frac{1}{2}\left ( -8x+6x+10 \right )-2x}$$
Are the two expressions equivalent? Justify your answer using substitution.
$${-5x+15}$$ and $${5(-x+3)}$$