Key Terms
Equation
Two expressions set equal to each other. Inequality: a statement using <, >, <=, or >=.
Inequality
A statement involving relations like "less than," "greater than," "at least," or "at most." Example: n >= 1800 (you need
Standard form for real-world problems
Total = (rate per unit)(number of units) + fixed cost
Example
L = 2W, H = 8, V = 1,600 1,600 = (2W)(W)(8) = 16W^2 W^2 = 100 W = 10
Example structure
Plan A = (rate A)(x) + fixed fee A Plan B = (rate B)(x) + fixed fee B
Distance problems
Two-trip setup
Columns
| d | r | t Row 1: Trip A | d | r | t1 Row 2: Trip B | d | r - x | t2
Process
1. Write one dimension in terms of the other (e.g., L = W + 6).
Perimeter
Linear units around the outside of a shape; P = 2L + 2W.
Volume
Cubic units; V = LWH.