Use the Associative Property of Addition to rewrite the expression (7+8)+6
as an equivalent expression.
(7+8)+6 = 7+(8+6)
Which of the following expressions could you rewrite using the Associative Property?(1 point)
Responses
(5+8)⋅3
left parenthesis 5 plus 8 right parenthesis times 3
(5⋅8)+3
left parenthesis 5 times 8 right parenthesis plus 3
(9⋅5)⋅(8⋅3)
left parenthesis 9 times 5 right parenthesis times left parenthesis 8 times 3 right parenthesis
(9⋅5)+8+3
(9⋅5)⋅(8⋅3)
Which of the following correctly demonstrates the Associative Property of Addition?(1 point)
Responses
(x+y)+z+r=x+(y+z)+r
left parenthesis x plus y right parenthesis plus z plus r equals x plus left parenthesis y plus z right parenthesis plus r
m⋅(x⋅y)=(m⋅x)⋅y
m times left parenthesis x times y right parenthesis equals left parenthesis m times x right parenthesis times y
x⋅(y+z)=(x⋅y)+z
x times left parenthesis y plus z right parenthesis equals left parenthesis x times y right parenthesis plus z
y−(x+1)=(y−x)+1
x⋅(y+z)=(x⋅y)+z
Which of the following demonstrates the Associative Property of Multiplication?(1 point)
Responses
(3+5)⋅2=3+(5⋅2)
left parenthesis 3 plus 5 right parenthesis times 2 equals 3 plus left parenthesis 5 times 2 right parenthesis
(3⋅5)⋅2=(3⋅5)⋅2
left parenthesis 3 times 5 right parenthesis times 2 equals left parenthesis 3 times 5 right parenthesis times 2
(3⋅5)⋅2=3⋅(5⋅2)
left parenthesis 3 times 5 right parenthesis times 2 equals 3 times left parenthesis 5 times 2 right parenthesis
(3⋅5)+2=(3+5)⋅2
(3⋅5)⋅2=3⋅(5⋅2)
Use the Associative Property to determine which expression is correctly simplified.(1 point)
Responses
−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 times negative 2 minus 6 y
−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=(−3⋅4x)(−2⋅−6y)
−3⋅(4x⋅−2)⋅−6y=(−3⋅4x)⋅−2−6y
According to the Associative Property, which expression is equivalent to 30m+(21m−53)+(18−2m)?(1 point)
Responses
(30m+21m)+(18−2m)
left parenthesis 30 m plus 21 m right parenthesis plus left parenthesis 18 minus 2 m right parenthesis
53m−35
53 m minus 35
(49m−53)+16
left parenthesis 49 m minus 53 right parenthesis plus 16
51m+(−53+18)−2m