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You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Let's do one together: Simplify 5x + 3x. Are 5x and 3x like terms? How do you know? (Yes. Both terms have the variable x.) Add the coefficients. (5 + 3 = 8) Write the simplified expression. (8x)

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Warm restartExpand 5(x + 3).

   1. A5x + 15
   2. B5x + 3
   3. C8x
   4. Dx + 15
3. 3

   Warm restartWhich shows 6n + 18 factored using its GREATEST common factor?

   1. A2(3n + 9)
   2. B3(2n + 6)
   3. C6(n + 3)
   4. D6(n + 18)
4. 4

   Warm restartExpand 4(2y − 5).

   1. A2y − 20
   2. B6y − 20
   3. C8y − 20
   4. D8y − 5

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it throughSimplify (8m + 5) + (3m + 7) + (4m + 2).

   1. A12m + 17
   2. B15m + 14
   3. C15m + 15
   4. D29m

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhat does the 15m tell the festival?

   1. A15 cables are needed for every microphone
   2. BThere are 15 microphones
   3. C15 stages need cables
   4. DThe cables cost $15

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughIf each stage has 4 microphones (m = 4), how many cables in total?

   1. A29
   2. B60
   3. C64
   4. D74

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhat rule determines whether two terms are 'like terms'? Why can't you combine unlike terms?

   Two terms are like terms when they have the same ___. You cannot combine ___ and ___ because they represent different ___.

Use the words

Fill each blank with a word from the bank.

• Terms with the same variable part, like 3y and 8y, are ___.
• To add or subtract like terms into a single term is to ___ them.
• Rewriting an expression in a shorter form that is still equal to it is to ___ it.
• The number multiplied by a variable is the ___.

Explain the thinking

1. 9

   Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

   The mistake: A common mistake in Simplify Algebraic Expressions is sweeping a constant into the variable terms — for example, simplifying 6x + 4 + 2x as 12x by adding all three numbers (6 + 4 + 2 = 12) instead of recognizing that 4 has no variable and cannot combine with 6x and 2x.
2. 10

   Say moreTo simplify 6x + 4 + 2x + 7, which are the like terms, and how do you combine them?

   The like terms are ___ and ___.
3. 11

   Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 6.14. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: Simplify 6x + 3 + 2x + 5.

   1. A8x + 8
   2. B8x² + 8
   3. C16x
   4. D62x + 35

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 6.14Quick check — you've got this: Which expression is equivalent to 7(x + 3)?

   1. A7x + 21
   2. B7x + 3
   3. C7x + 10
   4. Dx + 21
3. 14

   From Lesson 6.14A student wrote 8(12 + 9) = 8 × 12 + 9 = 105. What went wrong?

   1. AThey added instead of multiplying
   2. BThey used the wrong prices
   3. CThey forgot to multiply the 9 by 8 as well
   4. DThey distributed too many times

Be honest — this tells your teacher what to do next