Which of the following correctly demonstrates the Commutative Property of Addition? (1 point)
123 + 456 = 579
0 + 579 = 579
abcxyz = zyxcba
O abc + xyz = xyz + abc
O abc + xyz = xyz + abc
Use the Commutative Property to determine the missing step in proving the equivalence of 12a+10+a=10+a+12a.
Step 1: [missing]
Step 2: 10+13a=10+13a
Step 3: The expressions are equivalent because they both equal the same value.
(1 point)
Responses
12a+10=10+12a
d plus 10 plus a equals 10 plus a plus d
12a+10+a−a=10+a+12a−a
d plus 10 plus a equals 10 plus a plus d
12a+10+a−10=10+a+12a−10
d plus 10 plus a equals 10 plus a plus d
10+12a+a=10+13a
Step 1: 12a + 10 + a = a + 10 + 12a
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 Multiplication
The Associative Property of Multiplication
The Commutative Property of Multiplication
The Commutative Property of Multiplication
The Associative Property of Addition
The Associative Property of Addition
The Commutative Property of Addition
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 3
Step 3
Step 1
Step 1
Step 2
Step 2
No mistake was made.
Step 3 contains an error because the equation should be rearranged to give 12 + 17x + x^2 = 12 + 17x + x^2, not 12 - x^2 + 17x.
Which one of the following terms is defined as the material and surfaces upon which an artist works?
(1 point)
Responses
applied arts
applied arts
context
context
fine arts
fine arts
media
The correct answer is "media".
Jesse creates a self-portrait using painted canvas. Under which of the following categories does Jesse's art fall?
(1 point)
Responses
applied art
applied art
fashion art
fashion art
fine art
fine art
graphic art