Homework Explained - Math Practice 101

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Grade 6 HMH Go Math - Answer Keys


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Identify Equivalent Expressions

Use properties of operations to determine whether the expressions are equivalent.

  • Question 1 (request help)

    2s + 13 + 15s and 17s + 13

  • The expressions are    
  • Question 2 (request help)

    \(5\times7\text{h}\) and 35h

  • The expressions are    
  • Question 3 (request help)

    10 + 8v − 3v and 18 − 3v

  • The expressions are    
  • Question 4 (request help)

    \((9\text{w}\times0) - 12\) and 9w - 12

  • The expressions are    
  • Question 5 (request help)

    11(p + q) and 11p + (7q + 4q)

  • The expressions are    
  • Question 6 (request help)

    6(4b + 3d) and 24b + 3d

  • The expressions are    
  • Question 7 (request help)

    14m + 9 − 6m and 8m + 9

  • The expressions are    
  • Question 8 (request help)

    \((\text{y}\times1) + 2\) and y + 2

  • The expressions are    
  • Question 9 (request help)

    4 + 5(6t + 1) and 9 + 30t

  • The expressions are    
  • Question 10 (request help)

    9x + 0 + 10x and 19x + 1

  • The expressions are    
  • Question 11 (request help)

    12c − 3c and 3(4c − 1)

  • The expressions are    
  • Question 12 (request help)

    \(6\text{a}\times4\) and 24a

  • The expressions are    

  Problem Solving  

  • Question 13 (request help)

    Rachel needs to write 3 book reports with b pages and 3 science reports with s pages during the school year. Write an algebraic expression for the total number of pages Rachel will need to write.

  • Type below:
  • Question 14 (request help)

    Rachel’s friend Yassi has to write 3(b + s) pages for reports. Use properties of operations to determine whether this expression is equivalent to the expression for the number of pages Rachel has to write.

  • This expression is    
  • Question 15 (request help)

    Use properties of operations to show whether 7y + 7b + 3y and 7(y + b) + 3b are equivalent expressions. Explain your reasoning.

  • Type below:

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