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 a number \(x\) decreased by eleven

Short answer

The correct algebraic expression for the phrase 'Four times a number \(x\) decreased by eleven' is \(4x-11\), which is answer A.

Step-by-step solution

Interpret the phrase

The first step is to break down the phrase 'Four times a number \(x\) decreased by eleven' into math operations. The word 'times' signifies multiplication and 'decreased by' signifies subtraction. Thus, the phrase shows multiplication first, followed by subtraction.

Match the phrase with the expressions

After interpreting the phrase, the resulting algebraic expression should be 'four times a number \(x\)' which is \(4x\), 'decreased by eleven' will be \(-11\). Now look for the algebraic expression equivalent, which is \(4x-11\).

Find the correct match

Look for the algebraic expression \(4x-11\) in the given answers. The correct match is answer A, \(4x-11\).