Which algebraic expression is equivalent to the expression below?
10(4x + 3) - 9x
a. 31x + 30
b. 31x - 3
c. 40x + 21
d. 49x + 30
I feel the answer is B. but I'm not sure. If someone could type out the equation, that'd be great
distributing the 10 ... 40x + 30 - 9x
To find the equivalent algebraic expression, we can simplify the given expression step by step.
Start with the original expression:
10(4x + 3) - 9x
First, distribute the 10 to both terms inside the parentheses:
40x + 30 - 9x
Next, combine like terms by adding or subtracting the terms with the same variable (in this case, x):
(40x - 9x) + 30
Combine the x terms:
31x + 30
So, the equivalent algebraic expression is 31x + 30.
Therefore, the correct answer is a. 31x + 30.