Question

Match the verbal phrase with its corresponding algebraic expression. A. \(4 x-11\) B. \(4(x-11)\) c. \(11-4 x\) D. \(11 x+4\) Four times the quantity of a number \(x\) minus eleven

Short answer

The algebraic expression that matches the verbal phrase 'Four times the quantity of a number \(x\) minus eleven' is \(4(x - 11)\). So, the correct answer is Option B.

Step-by-step solution

Understand the verbal phrase

The verbal phrase is: 'Four times the quantity of a number \(x\) minus eleven'. 'Four times the quantity of a number \(x\)' suggests multiplication, while 'minus eleven' signifies subtraction of eleven. Thus the expression would be in the form of 'Four times x minus 11'

Match the verbal phrase with the algebraic expressions

Based on our understanding from the first step, the algebraic expression that matches the verbal expression would be \(4(x - 11)\) since it correctly implies four times the quantity of a number \(x\) and then subtracting eleven from it. Thus, the correct algebraic expression is Option B: \(4(x - 11)\)