Which expression is equivalent to a, minus, 9, a, plus, 3a−9a+3?
Answer
Multiple Choice Answers
a-, 6a−6
-, 11, a−11a
-, 8, a, plus, 3−
-, 5, a−5a
The correct answer is: a - 6a - 6
To simplify the expression a - 9a + 3, we can combine like terms.
First, let's collect all the terms with "a" together. We have "a" and "-9a", which gives us a - 9a.
Next, we can combine the constant terms. We have 3.
Putting it all together, we have (a - 9a) + 3.
Simplifying the "a" terms, we have -8a + 3.
Therefore, the expression is equivalent to -8a + 3.
To simplify the expression a - 9a + 3, you can combine like terms. Like terms have the same variable raised to the same power.
In this case, the like terms are both the terms with 'a'.
First, let's combine the terms 'a' and '-9a'. Since 'a' and '-9a' have opposite signs, we can subtract their coefficients. The coefficient of 'a' is 1 (since it's understood to be 1 * a) and the coefficient of '-9a' is -9.
So, 'a - 9a' simplifies to -(9a - a) = -8a.
Now, the simplified expression becomes:
-8a + 3.
The equivalent expression to a - 9a + 3 is -8a + 3.
Therefore, the answer is "-, 8, a, plus, 3-".