Which algebraic expression is equivalent to the expression below?
11(8 + 3x) + 20
11(8 + 3x) + 20
88 + 33x + 20
108 + 33x
8[4x+9]+11-5
To find the equivalent algebraic expression, you need to distribute the 11 to both terms inside the parentheses, combine like terms, and then add the constant term 20.
Step 1: Distribute the 11 to both terms inside the parentheses.
11 * 8 = 88
11 * 3x = 33x
The expression becomes: 88 + 33x + 20
Step 2: Combine the constant terms (88 and 20).
88 + 20 = 108
The expression becomes: 108 + 33x
Therefore, the algebraic expression equivalent to 11(8 + 3x) + 20 is 108 + 33x.