To apply the Commutative Property, we can rearrange the terms in the expression without changing their values.
Starting with the expression: 8 + 9f - 2 + 6f - 8f - 4 + 12
We can rearrange the terms in any order. Let's group the terms with 'f' together and constants (numbers without 'f') together:
= (8 - 2 - 4) + (9f + 6f - 8f) + 12
Simplifying each group separately:
= 2 + 7f + 12
Combining the constants:
= 14 + 7f
So, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 using the Commutative Property is:
B. 14 + 7f
Apply the Commutative Property to generate an expression equivalent to 8+9f−2+6f−8f−4+12 .(1 point)
A. 18 + 5f
B. 14 + 7f
C. 14 + 22f
D. 21f
9 answers
WRONG
I apologize for the mistake. Let's try again.
Starting with the expression: 8 + 9f - 2 + 6f - 8f - 4 + 12
We can rearrange the terms using the Commutative Property:
= (8 - 2 - 4) + (9f + 6f - 8f) + 12
Simplifying each group separately:
= 2 + 7f + 12
Combining the constants:
= 14 + 7f
So, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 using the Commutative Property is:
B. 14 + 7f
Starting with the expression: 8 + 9f - 2 + 6f - 8f - 4 + 12
We can rearrange the terms using the Commutative Property:
= (8 - 2 - 4) + (9f + 6f - 8f) + 12
Simplifying each group separately:
= 2 + 7f + 12
Combining the constants:
= 14 + 7f
So, the expression equivalent to 8 + 9f - 2 + 6f - 8f - 4 + 12 using the Commutative Property is:
B. 14 + 7f
Lucinda uses properties of operations to write an expression equivalent to 9+3(5−a)−7a. Which could be the expression that Lucinda wrote?(1 point)
Let's simplify the given expression step by step.
Start with the given expression: 9 + 3(5 - a) - 7a
First, distribute the 3 to the terms inside the parentheses:
= 9 + 15 - 3a - 7a
Combining like terms:
= 24 - 10a
Therefore, the expression equivalent to 9 + 3(5 - a) - 7a is 24 - 10a.
So, the correct answer is:
Lucinda could have written D. 24 - 10a.
Start with the given expression: 9 + 3(5 - a) - 7a
First, distribute the 3 to the terms inside the parentheses:
= 9 + 15 - 3a - 7a
Combining like terms:
= 24 - 10a
Therefore, the expression equivalent to 9 + 3(5 - a) - 7a is 24 - 10a.
So, the correct answer is:
Lucinda could have written D. 24 - 10a.
Which expression is equivalent to 12c − d?(1 point)
The expression 12c - d cannot be simplified any further since there are no like terms to combine or any other mathematical operations to perform. Therefore, the expression 12c - d is already in its simplest form and is equivalent to itself.
So, the correct answer is D. 12c - d.
So, the correct answer is D. 12c - d.
Which expression is equivalent to 12c−d?(1 point)
3(4c+d)−2d
4(3c−d)−5d
4d+3c−5d
4(d+3c)−5d
3(4c+d)−2d
4(3c−d)−5d
4d+3c−5d
4(d+3c)−5d
To find the expression equivalent to 12c - d, we can distribute the coefficients to the terms inside the parentheses and simplify.
Starting with the expression: 12c - d
We can distribute the coefficients:
= 3(4c + d) - 2d
Expanding the parentheses:
= 12c + 3d - 2d
Combining like terms:
= 12c + d
Therefore, the expression equivalent to 12c - d is:
A. 3(4c + d) - 2d
Starting with the expression: 12c - d
We can distribute the coefficients:
= 3(4c + d) - 2d
Expanding the parentheses:
= 12c + 3d - 2d
Combining like terms:
= 12c + d
Therefore, the expression equivalent to 12c - d is:
A. 3(4c + d) - 2d
1 answer