Equivalent Expressions Quick Check

1 of 51 of 5 Items
Question
Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2)
.(1 point)
Responses

2abcd
2 a b c d

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

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

a+b+cd+2

The correct answer is: a+b+cd+2c

Are the expressions 3+(4x+1)

and 4−4x
equivalent?(1 point)
Responses

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.
Yes, they are because both expressions simplify to 0.

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+(4x+1) simplifies to 4+4x, which is not equivalent to 4−4x.

Equivalent Expressions Quick Check

3 of 53 of 5 Items
Question
Which expression is equivalent to 5(g+2)−3
?(1 point)
Responses

5g+7
5 g plus 7

5g−1
5 g minus 1

5g+10
5 g plus 10

5g−7

The correct answer is: 5g+7

Apply the Distributive Property to generate an expression equivalent to 8(3+j)

.(1 point)
Responses

24+8j
24 plus 8 j

24+j
24 plus j

24−j
24 minus j

11+8j

The correct answer is: 24+8j

Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12

.(1 point)
Responses

21f
21 f

18+5f
18 plus 5 f

14+22f
14 plus 22 f

14+7f

The correct answer is: 14+7f

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