which expression is equivalent to 5 (g + 2) - 3?
5g - 1
5g - 7
5g + 10
5g + 7
apply the distributive property to generate an expression equivalent to 8 ( 3 + j ). (1 point)
24 - j
24 + 8j
11 + 8j
24 + j
really, show your work!
apply the commutative property to generate an expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12
14 + 22f
18 + 5f
14 + 7f
The expression that is equivalent to 5 (g + 2) - 3 is 5g + 7.
To simplify the expression 5 (g + 2) - 3, we can distribute the 5 to both terms inside the parentheses:
5 * g + 5 * 2 - 3
This simplifies to:
5g + 10 - 3
Next, we can combine like terms by subtracting 3 from 10:
5g + 7
Therefore, the expression that is equivalent to 5 (g + 2) - 3 is 5g + 7.
hmmm are you sure?
Apologies for the confusion earlier. Let's go through the simplification process step by step to find the correct equivalent expression.
Starting with 5(g + 2) - 3, we distribute the 5 to both terms inside the parentheses:
5 * g + 5 * 2 - 3
This simplifies to:
5g + 10 - 3
Next, we combine like terms by subtracting 3 from 10:
5g + 7
Therefore, the correct expression that is equivalent to 5(g + 2) - 3 is indeed 5g + 7.
To apply the distributive property to the expression 8 (3 + j), we multiply 8 to both terms inside the parentheses:
8 * 3 + 8 * j
This simplifies to:
24 + 8j
Therefore, the expression equivalent to 8 (3 + j) is 24 + 8j.
To apply the commutative property to the expression 8 + 9f - 2 + 6f - 8f - 4 + 12, we group the like terms together:
8 - 2 - 4 + 12 + 9f + 6f - 8f
Combining the like terms:
(8 - 2 - 4 + 12) + (9f + 6f - 8f)
This simplifies to:
14 + 7f
Therefore, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 using the commutative property is 14 + 7f.