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Determining Equivalence

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Goal:

Determine if two or more expressions are equivalent.

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Happy Wednesday!

Today's warm­up is Mental Math #1­5.

When you are finished, please take out your homework and a red pen.

Solve each equation or inequality for the variable:

1) 2x + 2 > 4

2) 2(x + 2) ­ 3x > ­ 2

3) 5(x ­ 3) + 4 =

4) ­ 3(c+4) ­ 2 > 7

5) ­ 9 = 8 + [ 3 ­ (2x + 4)] ­ 6x

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While I check in your work, please continue working on the following ACE problems:

Page 15: 10­12

Page 16: 18­23, 25­32, 46­49

Label the paper you use with your name, date, and "Classwork" and title it "Equivalent Expressions". You may use the same paper as yesterday.

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Key Question: Is plugging in one value to both expressions good enough to determine equivalency?

Let's try 2x + 1 and x + 2. Evaluate for x = 1.

Are the expressions equivalent?

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Key Question: Is plugging in one value to both expressions good enough to determine equivalency?

Let's try 2x + 1 and x + 2 again. This time evaluate for x = 3.

Are the expressions equivalent?

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Key Question: Is plugging in one value to both expressions good enough to determine equivalency?

This time we'll use y = 4(x + 2) ­ 4 and

y = 4(x + 1). Evaluate for x = 1 and x = 2

Are the expressions equivalent?

Do you need at least two values to produce the same answer to confirm that expressions are equivalent?

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y = 4(x + 2) ­ 4

y = 4(x + 1)

Why are two values for x good enough to determine equivalent expressions?

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Group Work: Problem 1.4 A­E

Write neatly and show your work; this will be turned in for credit.

No more than two people per group.

Groups not working will be split up and work alone.