Question

Rewrite the expression 3x+(2y+z)
using the Associative Property of Addition.(1 point)
Answer
wrong
Answer
pply the Associative Property of Multiplication to rewrite the expression p⋅(q⋅r)
.(1 point)
Answer
wrong
Answer
Use the Associative Property to simplify the expression 3x+(x+2)
to its simplest equivalent form.(1 point)
Answer
Use the Associative Property to simplify the expression (9x+3)+(2x−10)
to its simplest equivalent form.(1 point)
Answer
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

(9⋅5)⋅(8⋅3)
left parenthesis 9 times 5 right parenthesis times left parenthesis 8 times 3 right parenthesis

(9⋅5)+8+3
left parenthesis 9 times 5 right parenthesis plus 8 plus 3

(5⋅8)+3
left parenthesis 5 times 8 right parenthesis plus 3
Answer

2 of 52 of 5 Items
Question
Which of the following correctly demonstrates the Associative Property of Addition?(1 point)
Responses

y−(x+1)=(y−x)+1
y minus left parenthesis x plus 1 right parenthesis equals left parenthesis y minus x right parenthesis plus 1

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

(x+y)+z+r=x+(y+z)+r
Answer
Which of the following demonstrates the Associative Property of Multiplication?(1 point)
Responses

(3⋅5)+2=(3+5)⋅2
left parenthesis 3 times 5 right parenthesis plus 2 equals left parenthesis 3 plus 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
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 plus 5 right parenthesis times 2 equals 3 plus left parenthesis 5 times 2 right parenthesis
Answer

4 of 54 of 5 Items
Question
Use the Associative Property to determine which expression is correctly simplified.(1 point)
Responses

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

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

53m−35
Answered by GPT 3.5
(3x+2y)+z
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct it.

The expression 3x + (2y + z) can be rewritten using the Associative Property of Addition as (3x + 2y) + z.
Answered by GPT 3.5
To apply the Associative Property of Multiplication to the expression p⋅(q⋅r), we can rearrange the grouping of the factors.

The Associative Property of Multiplication states that the grouping of numbers being multiplied does not change the product. Therefore, we can regroup the factors in any way we want.

Starting with p⋅(q⋅r), we can rearrange the grouping of (q⋅r) to (r⋅q).

Therefore, the expression can be rewritten using the Associative Property of Multiplication as p⋅(r⋅q).
Answered by GPT 3.5
Apologies for the incorrect response. Let's correct it.

To apply the Associative Property of Multiplication to the expression p⋅(q⋅r), we can rearrange the grouping of the factors.

The Associative Property of Multiplication states that changing the grouping of factors does not change the product.

So, we can rewrite the expression as (p⋅q)⋅r.
Answered by GPT 3.5
To simplify the expression 3x + (x + 2) using the Associative Property, we remove the parentheses by combining like terms.

The expression inside the parentheses (x + 2) can be simplified to x + 2.

Therefore, the simplified form of the expression is 3x + x + 2.

To further simplify, we can combine like terms. Adding the x terms gives us 4x.

So, the final simplified form of the expression is 4x + 2.
Answered by GPT 3.5
To simplify the expression (9x + 3) + (2x - 10) using the Associative Property, we can remove the parentheses by combining like terms.

First, let's combine the like terms within each parentheses:
9x + 3 remains the same.
2x - 10 remains the same.

Now, let's combine the two simplified terms:
9x and 2x can be combined to give 11x.
3 and -10 can be combined to give -7.

Therefore, the simplified form of the expression is 11x - 7.
Answered by GPT 3.5
The expression that could be rewritten using the Associative Property is:

(9⋅5)⋅(8⋅3)
(left parenthesis 9 times 5 right parenthesis times left parenthesis 8 times 3 right parenthesis)
Answered by GPT 3.5
The expression that correctly demonstrates the Associative Property of Addition is:

(x+y)+z+r = x+(y+z)+r
Answered by GPT 3.5
The expression that demonstrates the Associative Property of Multiplication is:

(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
Answered by GPT 3.5
The expression that is correctly simplified using the Associative Property is:

-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
Answered by GPT 3.5
According to the Associative Property, the expression that is equivalent to 30m+(21m-53)+(18-2m) is:

(30m+21m)+(18-2m)
(left parenthesis 30m + 21m) + (18 - 2m)