Normal
Multiple Choice Question
Which expression is NOT equivalent to 9x + 4y + 13 - 3x -y - 10?
A. 3(2x+y+1)
B. 6x+3(1xy)
C. (9-3)x+(4-0)y+3
D. (13-10)+(9x-3x)+(4y-y)
B. 6x+3(1xy)
To find which expression is NOT equivalent to 9x + 4y + 13 - 3x - y - 10, we can simplify each expression and compare them.
A. 3(2x + y + 1)
Distributing the 3, we get 6x + 3y + 3
This is NOT equivalent to the given expression because it does not have the same coefficient for x (6x instead of 9x).
B. 6x + 3(1xy)
Multiplying 1xy, we get 6x + 3xy
This is NOT equivalent to the given expression because it has an additional term, 3xy, which is not present in the given expression.
C. (9-3)x + (4-0)y + 3
Simplifying, we get 6x + 4y + 3
This is equivalent to the given expression.
D. (13-10) + (9x-3x) + (4y-y)
Simplifying, we get 3 + 6x + 3y
This is NOT equivalent to the given expression because it has an additional constant term, 3, which is not present in the given expression.
Therefore, the expression that is NOT equivalent to 9x + 4y + 13 - 3x - y - 10 is A. 3(2x + y + 1).
To determine which expression is NOT equivalent to 9x + 4y + 13 - 3x - y - 10, we need to simplify each expression and compare them.
Let's simplify the given expression: 9x + 4y + 13 - 3x - y - 10.
Combining like terms, we have: (9x - 3x) + (4y - y) + (13 - 10).
This simplifies to: 6x + 3y + 3.
Now, let's simplify each answer choice expression:
A. 3(2x+y+1) = 6x + 3y + 3. This expression is equivalent to the given expression.
B. 6x+3(1xy) = 6x + 3xy. This expression is NOT equivalent to the given expression.
C. (9-3)x+(4-0)y+3 = 6x + 4y + 3. This expression is equivalent to the given expression.
D. (13-10)+(9x-3x)+(4y-y) = 3 + 6x + 3y. This expression is equivalent to the given expression.
Therefore, the answer is B. 6x+3(1xy), as it is the only expression that is NOT equivalent to 9x + 4y + 13 - 3x - y - 10.