Which of the following correctly demonstrates the use of the Commutative Property of Multiplication?(1 point)
Responses
11(b+z)=11b+11z
11 left parenthesis b plus z right parenthesis equals 11 b plus 11 z
3(b10+4)=3(4+b10)3
3 left parenthesis b superscript 10 baseline plus 4 right parenthesis equals 3 left parenthesis 4 plus b superscript 10 baseline right parenthesis 3
2(b10+z11)=(b10+z11)⋅2
2 left parenthesis b superscript 10 baseline plus z superscript 11 baseline right parenthesis equals left parenthesis b superscript 10 baseline plus z superscript 11 baseline right parenthesis times 2
z11⋅2=z11+2
z superscript 11 baseline times 2 equals z superscript 11 baseline plus 2
None of the given options correctly demonstrates the use of the Commutative Property of Multiplication.
Which of the following correctly demonstrates the use of the Commutative Property of Multiplication?(1 point)
Responses
11(b+z)=11b+11z
3(b^10+4)=3(4+b^10)3
2(b^10+z^11)=(b^10+z^11)⋅2
z^11⋅2=z^11+2
The correct option that demonstrates the use of the Commutative Property of Multiplication is:
2(b^10+z^11)=(b^10+z^11)⋅2
Which of the following correctly demonstrates the Commutative Property of Addition?(1 point)
Responses
0+579=579
0 plus 579 equals 579
abc+xyz=xyz+abc
a b c plus x y z equals x y z plus a b c
123+456=579
123 plus 456 equals 579
abcxyz=zyxcba
The correct option that demonstrates the Commutative Property of Addition is:
abc+xyz=xyz+abc
Substituting 1 for x in the equation 5x + 3=x⋅5 + 3 is a test case for which property?(1 point)
Responses
The Associative Property of Addition
The Associative Property of Addition
The Associative Property of Multiplication
The Associative Property of Multiplication
The Commutative Property of Multiplication
The Commutative Property of Multiplication
The Commutative Property of Addition
The correct answer is: The Commutative Property of Multiplication
Which step contains an error using the Commutative Property of Addition in verifying 8+x2+17x−x2+4=10+4x2+10x−4x2+2+7x?
Step 1: 8+4+x2−x2+17x=10+2+10x−4x2+7x +4x2
Step 2: 8+4+17x+x2−x2=10+2+4x2−4x2+10x+7x
Step 3: 12+17x+x2=12−x2+17x
(1 point)
Responses
Step 1
Step 1
Step 3
Step 3
Step 2
Step 2
No mistake was made.
The mistake was made in Step 2.
Step 2: 8+4+17x+x^2−x^2=10+2+4x^2−4x^2+10x+7x
The mistake is in the terms "4x^2−4x^2" which should be "−4x^2+4x^2".
So the corrected step should be:
Step 2: 8+4+17x+x^2−x^2=10+2−4x^2+4x^2+10x+7x