Expressions

Translating Words to Expressions

Convert a verbal description of a mathematical relationship into an algebraic expression.

Example

Translate each word phrase into a structured algebraic expression.

highlighted = computed this step

Step 1 — Words

Set up the expression.

five more than twice x\text{five more than twice x}
Map the phrase into parts.phrasefive more than twice xfive more thanadd 5twice x2 times xafter------result

Step 2 — Translate twice x

Translate twice x as 2x.

twice x=2x\text{twice x} = \hlmath{2x}
Translate twice x as 2x.phrasefive more than twice xfive more thanadd 5twice x2xafter2x----result

Step 3 — Add five more

Add five more: 2x + 5.

2x+52x + \hl{5}
Five more than means add 5 after 2x.phrasefive more than twice xfive more thanadd 5twice x2xafter2x+ 5--result

Step 4 — Result

Read the final result.

2x+52x + 5
Result: 2x + 5.phrasefive more than twice xfive more thanadd 5twice x2xafter2x+ 52x + 5result
translate-words-to-expression Key phrases: "twice x" means 2x; "more than" means addition. Identify each operation in order and build the expression.