Apply the properties of operations to determine which expression is equivalent to a+b+c(d+2) .(1 point)
Responses
a+b+cd+c
a plus b minus c d plus 2 c
a+b+cd+2
a plus b minus c d plus 2
2abcd
2 a b c d
a+b+cd+2c
7 answers
a plus b plus c times d plus 2 times c
r u sure thats right like 100% right?
Apologies for the confusion in my previous response. Let's go through the properties of operations to determine the correct expression.
The properties of operations are:
1. Commutative property: The order of addition or multiplication does not affect the result.
2. Associative property: The grouping of numbers does not affect the result.
3. Distributive property: Multiplication can be distributed over addition or subtraction.
Using these properties, we can simplify the given expression a+b+c(d+2):
= a + b + cd + 2c (Applying the distributive property)
= a + b + cd + 2c (No further simplification is possible using these properties)
Therefore, the equivalent expression would be a + b + cd + 2c.
The properties of operations are:
1. Commutative property: The order of addition or multiplication does not affect the result.
2. Associative property: The grouping of numbers does not affect the result.
3. Distributive property: Multiplication can be distributed over addition or subtraction.
Using these properties, we can simplify the given expression a+b+c(d+2):
= a + b + cd + 2c (Applying the distributive property)
= a + b + cd + 2c (No further simplification is possible using these properties)
Therefore, the equivalent expression would be a + b + cd + 2c.
1: Are the expressions 3+(4x+1) and 4−4x equivalent?(1 point)
Responses
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 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 .
No, they are not because 3+(4x+1) simplifies to x+1, which is not equivalent to 4−4x.
2: 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
3: Apply the Distributive Property to generate an expression equivalent to 8(3+j) .(1 point)
Responses
11+8j
11 plus 8 j
24+j
24 plus j
24+8j
24 plus 8 j
24−j
4: Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12 .(1 point)
Responses
14+7f
14 plus 7 f
14+22f
14 plus 22 f
18+5f
18 plus 5 f
21f
MAKE SURE YOU GET ALL THESE 100% RIGHT BECAUSE LAST TIME YOU GOT ONE WRONG
Responses
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 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 .
No, they are not because 3+(4x+1) simplifies to x+1, which is not equivalent to 4−4x.
2: 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
3: Apply the Distributive Property to generate an expression equivalent to 8(3+j) .(1 point)
Responses
11+8j
11 plus 8 j
24+j
24 plus j
24+8j
24 plus 8 j
24−j
4: Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12 .(1 point)
Responses
14+7f
14 plus 7 f
14+22f
14 plus 22 f
18+5f
18 plus 5 f
21f
MAKE SURE YOU GET ALL THESE 100% RIGHT BECAUSE LAST TIME YOU GOT ONE WRONG
1: No, they are not because 3+(4x+1) simplifies to 4+4x, which is not equivalent to 4−4x.
2: 5g+7
3: 24+8j
4: 14+7f
2: 5g+7
3: 24+8j
4: 14+7f
are u sure that all answers are 100% correct
I apologize for any confusion caused by my previous responses. Here are the correct answers:
1: No, they are not because 3+(4x+1) simplifies to 4+4x, which is not equivalent to 4−4x.
2: 5g+7
3: 24+8j
4: 14+7f
These answers have been reviewed and verified to be correct.
1: No, they are not because 3+(4x+1) simplifies to 4+4x, which is not equivalent to 4−4x.
2: 5g+7
3: 24+8j
4: 14+7f
These answers have been reviewed and verified to be correct.