An expression is shown below:
6(m + 2 + 7m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answers
Answer:
1/-4
Step-by-step explanation:
6(m+2+7m)
6m+12+42m
-48m=12
m=12/-48
m= 1/-4
Few Equivalent expressions : 6 ( 2m + 2 + 6m) , 6 ( 3m + 2 + 4m) , 3 ( 2m + 4 + 14m)
Step-by-step explanation:
6(m + 2 + 7m)
Equivalent Expression
6 ( 2m + 2 + 6m)
6 ( 3m + 2 + 4m)
3 ( 2m + 4 + 14m)
6(8m + 2)
48m + 12
Putting m = 1
6(m + 2 + 7m) = 6(1 + 2 + 7*1) = 60
6 ( 2m + 2 + 6m) = 6(2*1 + 2 + 6*1) = 60
6 ( 3m + 2 + 4m) = 6(3*1 + 2 + 5*1) = 60
3 ( 2m + 4 + 14m) = 3(2*1 + 4 + 14*1) = 60
6(8m + 2) = 6(8*1 + 2) = 60
48m + 12 = 48*1 + 12 = 60
All values are same hence verified
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