andres2003
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Use properties of operations to determine whether the expressions are equivalent.

19) 7m + 10 + 9m and 16m + 10

20) 2b × 5 and 7b

21) 9 × (4r – 6) and 36r – 54

22) 12 + 5(2 + y) and 5y + 22

23) 15j + 11 – 6j and 9j + 11

24) 8(3x + 1) and 24x + 1

Verified Answer :

Panoyin
  1. 7m + 10 + 9m = 16m + 10
          7m + 9m + 10 = 16m + 10
                 16m + 10 = 16m + 10

    20. 2b × 5 = 7b
              10b ≠ 7b

    21. 9(4r - 6) = 36r - 54
      9(4r) - 9(6) = 36r - 54
         36r - 54 = 36r = 54

    22. 12 + 5(2 + y) = 5y + 22
          12 + 5(2) + 5(y) = 5y + 22
          12 + 10 + 5y = 5y + 22
                  22 + 5y = 5y + 22

    23. 15j + 11 - 6j = 9j + 11
          15j - 6j + 11 = 9j + 11
                  9j + 11 = 9j + 11

    24. 8(3x + 1) = 24x + 1
      8(3x) + 8(1) = 24x + 1
            24x + 8 ≠ 24x + 1
              

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