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Write your own definitions of these two words:

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Write your own definitions of these two words:

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Expression: a mathematical statement that isn't set equal to anything
Equation: a mathematical statement that is set equal to something

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What are the similarities between expressions and equations? What are the differences? Compare and contrast.

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Simplify the following expression:
10x(x+7)+8(x+7)
= (10x+8)(x+7)

What steps did you do to find your final answer? Explain.
I noticed that both 10x and 8 are multiplied by (x+7), making (x+7) the GCF. I factored (x+7) out and was left with 10X+8.

Why is this considered an "expression" as opposed to an "equation"?
10x(x+7)+8(x+7) was not set equal to anything, and you cannot solve to find x.

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Create an equation (equal to zero) in which you solve. Be prepared to share this with other classmates: show them how you solved your equation (STEP BY STEP with reasoning- why did you do that step?). Now, use an online source, such as MATLAB or Geogebra, to graph your equation. Add a picture of your graph below.

3x(x-6)+15(x-6) = 0.
Factor out the GCF (x-6) in order to get two expressions to solve for x.
(3x+15)(x-6) = 0.
**Note that the reason we set 3x(x-6) + 15(x-6) equal to 0 is so that we can graph it. We cannot graph an expression.**

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A.SSE.1. Interpret expressions that represent a quantity in terms of its context. ★ a. Interpret parts of an expression, such as terms, factors, and coefficients
A.SSE.2 Use the structure of an expression to identify ways to rewrite it
A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.