Use the Associative Property to simplify the expression (9x+3)+(2x−10) to its simplest equivalent form.

9 answers

(9x+3)+(2x−10) = 9x + 3 + 2x − 10
= (9x + 2x) + (3 − 10)
= 11x + (−7)
= 11x - 7
Use the Associative Property to determine which expression is correctly simplified.

−3⋅(4x⋅−2)⋅−6y=−7xy
negative 3 times left parenthesis 4 x times negative 2 right parenthesis times negative 6 y equals negative 7 x y

−3⋅(4x⋅−2)⋅−6y=18−8x
negative 3 times left parenthesis 4 x times negative 2 right parenthesis times negative 6 y equals 18 minus 8 x

−3⋅(4x⋅−2)⋅−6y=(−3⋅4x)(−2⋅−6y)
negative 3 times left parenthesis 4 x times negative 2 right parenthesis times negative 6 y equals left parenthesis negative 3 times 4 x right parenthesis left parenthesis negative 2 times negative 6 y right parenthesis

−3⋅(4x⋅−2)⋅−6y=(−3⋅4x)⋅−2−6y
The correct simplification using the Associative Property is:

−3⋅(4x⋅−2)⋅−6y = (−3⋅4x)⋅−2−6y
According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?

51m+(−53+18)−2m
51 m plus left parenthesis negative 53 plus 18 right parenthesis minus 2 m

(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16

(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis

53m−35
According to the Associative Property, the expression that is equivalent to 30m+(21m−53)+(18−2m) is:

(30m+21m)+(18−2m)
Are you sure?
Apologies for the incorrect response. You're right, I made a mistake. According to the associative property, the expression that is equivalent to 30m+(21m−53)+(18−2m) is:

30m + 21m - 53 + 18 - 2m

Which simplifies to:

(30m + 21m - 2m) + (18 - 53)

49m - 35

So, 53m - 35 is not the correct equivalent expression. The correct equivalent expression is 49m - 35.
You wrong
Apologies for the confusion. Let's simplify the expression according to the associative property:

30m + (21m - 53) + (18 - 2m)

First, let's simplify the parentheses:

30m + (21m - 53 + 18 - 2m)

Combine like terms inside the parentheses:

30m + (19m - 35)

Now, let's simplify the outer parentheses:

30m + 19m - 35

Combine like terms:

49m - 35

So, the correct equivalent expression is 49m - 35. Sorry for the incorrect response earlier.