contestada

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)

Respuesta :

Part A: 6 ( 8m + 2) and 48m + 12

Part B: 48m - 48m = 12 - 12

Part C: 6 (10) = 6(10)

How to determine the expressions

1. The two expressions could be gotten thus;

6(m + 2 + 7m)

Collect like terms in the bracket

6 ( 8m + 2) ⇒ first expression

6(m + 2 + 7m)

Expand the bracket

6m + 12 + 42m

Collect like terms

6m + 42m + 12

48m + 12 ⇒ second expression

Part B:

6(m + 2 + 7m) = 48m + 2

Expand the bracket

6m + 12 + 42m = 48m + 2

Collect like terms

48m - 48m = 12 - 12

0 = 0

Part C:

Let the expression from A be 6 ( 8m + 2)

6(m + 2 + 7m) = 6 ( 8m + 2)

Let the number be m = 1

Substitute the values

6(1 + 2 + 7(1) ) = 6 (8(1) + 2)

6 ( 1 + 2 + 7) = 6 (10)

6 (10) = 6(10)

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

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