Algebra 1 · Seeing Structure in Expressions

Interpret expressions in context

Interpret expressions in context.

Practice more with MathNivoAndroid app coming soonExplore the idea here, then continue practicing in the Android app when available.

What you’ll learn

Interpret expressions in context.

Key idea

Unit price times count is variable cost; the constant remains when no items are used.

Rate times count is variable cost; zero-use output identifies the fixed amount with dollar units.

Worked example

Classify examples and non-examples for the concept 'Interpret expressions in context'.

Supplied rental plan C=10+9n dollars for n rentals. Interpret the term 9n in this context.

  1. The fixed 10-dollar term is independent of n rentals; 9 dollars/rental×n rentals gives 9n dollars.
  2. Table n: 0,1,2; C: 10,19,28 shows the fixed zero-use fee and constant 9-dollar increment per rental.

Answer: 9n is variable rental cost — 9 dollars per rental times n rentals, separate from fixed 10 dollars.

Quick Check

Classify examples and non-examples for the concept 'Interpret expressions in context'.

Supplied rental plan C=30+2n dollars for n rentals. Interpret the term 2n in this context.

Choose one answer

Show a hint

Read what the variable counts and which term changes with it.