Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2) .(1 point)

Responses

a+b+cd+2
a plus b minus c d plus 2

a+b+cd+c
a plus b minus c d plus 2 c

2abcd
2 a b c d

a+b+cd+2c

9 answers

The correct response is:

a+b+cd+2c
Are the expressions 3+(4x+1) and 4−4x equivalent?(1 point)
Responses

No, they are not because 3+(4x+1) simplifies to x+1, which is not equivalent to 4−4x.
No, they are not because 3 minus left parenthesis 4 x plus 1 right parenthesis simplifies to x plus 1 , which is not equivalent to 4 minus 4 x .

No, they are not because 3+(4x+1) simplifies to 4+4x , which is not equivalent to 4−4x.
No, they are not because 3 minus left parenthesis 4 x plus 1 right parenthesis simplifies to 2 minus 4 x , which is not equivalent to 4 minus 4 x .

Yes, they are because both expressions simplify to 4−4x.
Yes, they are because both expressions simplify to 4 minus 4 x .

Yes, they are because both expressions simplify to 0.
No, they are not because 3+(4x+1) simplifies to 4+4x, which is not equivalent to 4−4x.
Which expression is equivalent to 5(g+2)−3 ?(1 point)
Responses

5g+10
5 g plus 10

5g−1
5 g minus 1

5g+7
5 g plus 7

5g−7
The correct response is:

5g+7
Apply the Distributive Property to generate an expression equivalent to 8(3+j) .(1 point)
Responses

24−j
24 minus j

24+j
24 plus j

11+8j
11 plus 8 j

24+8j
The correct response is:

24+8j
Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12 .(1 point)
Responses

18+5f
18 plus 5 f

14+7f
14 plus 7 f

21f
21 f

14+22f
The correct response is:

14+7f