Lesson 6.66.6 Small Group · Group 1
Group 1 · Set BSecond form · new problems, same idea
Learning target With my small group, I can show that two expressions are equivalent by simplifying and combining like terms — one step at a time, with support.
Remember6.6 Small Group · Group 1
Expressions are equivalent when they match for every value of x. Combine like terms to show it, and test a number to check. Equivalent expressions give the same value for every number you put in for the variable.
Words: Equivalent Expressions (Expresiones equivalentes)Equivalent (Equivalente)Simplify (Simplificar)Like Terms (Términos semejantes)Combine (Combinar)
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1Complete each step, then write the final answer.
Fill in the box so the expressions are equivalent: 4x + 3x + 2 and ☐x + 2. What number goes in the box?
Show your workHint Combine the like terms 4x and 3x. The 2 stays the same.
Final answer: -
2Complete each step, then write the final answer.
Fill in the box so the expressions are equivalent: 8x + 3x + 4 and ☐x + 4. What number goes in the box?
Show your workHint 8 x's plus 3 x's is how many x's?
Final answer: -
3Complete each step, then write the final answer.
A gym writes the cost of x classes as 3x + x + 10 dollars. This is equivalent to ☐x + 10. What number goes in the box?
Show your workHint x by itself means 1x. Combine 3x and 1x.
Final answer: -
4Complete each step, then write the final answer.
Fill in the box: 9x + 7 − 3x + 2 is equivalent to 6x + ☐. What number goes in the box?
Show your workHint Combine the x terms. Then combine the plain numbers.
Final answer:
Explain your thinkingTim tests one value, and both expressions match. Is that enough? How else can you show two expressions are equivalent?
Sentence starter I can combine like terms to show ___. · When x = ___, both expressions give ___, so ___.