Heart of Algebra

Linear Word Problems

Decode the English. Map the Math. Interpreting context is 60% of Heart of Algebra.

Dictionary
Mastery
Standard Translation

The English-to-Math Table

English Phrase Math Equivalent
"Is", "Was", "Results in" =
"Per", "Each", "Every" Slope (m)
"Initial", "Flat fee", "Deposit" Intercept (b)
Context
Mastery
Heart of Algebra

Interpreting \(m\) and \(b\)

\[ \text{Total} = (\text{Rate})x + \text{Start} \]

SAT questions often ask: "What does the number 50 represent in this context?"

Practice: "A plumber charges a \$50 flat fee and \$30 per hour. What is the y-intercept?"