hich of the following shows the correct pairing of a property of operations and its example?(1 point)
Responses
2a + 3b = 3b + 2a; Commutative Property
2 A plus 3 b is equal to 3 b plus 2 A ; Commutative Property
2a +3b = 3b + 2a; Distributive Property
2 A plus 3 b is equal to 3 b plus 2 A ; Distributive Property
2(a+3) = 2a+6; Associative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Associative Property
2(a+3) = 2a+6; Commutative Property
2 times open paren A plus 3 close paren is equal to 2 A plus 6 ; Commutative Property
is it this one? 2(a+3) = 2a+6; Commutative Property
Which expression is equivalent to 2(x+3)+4(x+1) ?(1 point)
Responses
2x+10
2 x plus 10
3x+10
3 x plus 10
6x+7
6 x plus 7
6x+10
6 x plus 10
The expression that is equivalent to 2(x+3)+4(x+1) is 6x+10.
Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .
To apply the Associative Property, we can group the terms within parentheses:
2(a+5) + 4(2a+3) - 10
= (2*a + 2*5) + (4*2a + 4*3) - 10
= (2a + 10) + (8a + 12) - 10
Now, to apply the Commutative Property, we can rearrange the terms in any order:
= (2a + 8a) + (10 + 12) - 10
= 10a + 22 - 10
= 10a + 12
Apologies for the mistake. No, the correct answer is:
2(a+3) = 2a+6; Associative Property.