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
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.
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
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
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.