Back to Represent constraints with equations — Problem 1 · Task Set 28

Exercises: Represent Constraints with Equations, Inequalities, and Systems

Work through each section in order. For word problems, define your variables before writing any constraint.

Grade 9·20 problems·~40 min·Common Core Math - HS Algebra·standard·hsa-ced-a-3

Work through problems with immediate feedback

Fluency Practice

A company makes product A and product B. Let $a$ = units of A produced and $b$ = units of B produced. Each unit of A requires 2 labor-hours; each unit of B requires 3 labor-hours. The company has at most 120 labor-hours available. Which inequality represents this constraint?

$2a + 3b \geq 120$

$2a + 3b \leq 120$

$2a + 3b = 120$

$3a + 2b \leq 120$