Which expression is equivalent to a, minus, 9, a, plus, 3a−9a+3?
Answer
Multiple Choice Answers
a, minus, 6a−6
minus, 11, a−11a
minus, 8, a, plus, 3−8a+3
minus, 5, a−5a
The expression that is equivalent to a, minus, 9, a, plus, 3a−9a+3 is:
minus, 5, a−5a
To simplify the expression 3a - 9a + 3, we can combine like terms.
First, let's combine the terms with the same variable, which are 3a and -9a. Since they have the same variable (a), we can subtract the coefficients (numbers in front of the variable): 3a - 9a = (3 - 9)a = -6a.
Next, let's simplify the remaining constant terms, which are 3.
Putting it all together, the expression 3a - 9a + 3 simplifies to: -6a + 3.
Therefore, the equivalent expression is: minus, 6a - 3 (option a, minus, 6a - 6)
To simplify the given expression, "a - 9a + 3", combine like terms. Combine the "a" terms and the constant terms separately.
First, let's combine the "a" terms: "a - 9a" can be rewritten as "-8a".
Next, let's combine the constant terms: "+ 3" remains unchanged.
So, the simplified expression is "-8a + 3".
Now, let's see which of the given choices is equivalent to "-8a + 3":
A) "a - 6a - 6": This is not equivalent to "-8a + 3".
B) "-11a + 11": This is not equivalent to "-8a + 3".
C) "-8a + 3": This choice is equivalent to "-8a + 3". This is our answer!
D) "-5a - 5": This is not equivalent to "-8a + 3".
Therefore, the expression that is equivalent to "a - 9a + 3" is "-8a + 3", which corresponds to choice C.