Back to Represent constraints with equations — Problem 4 · 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

$Coordinate plane showing feasible region (light blue quadrilateral) bounded by x+y=6 and 2x+y=8, with four labeled candidate points A through D.$

The graph below shows the feasible region (shaded) for a system of two constraints plus non-negativity. The boundary lines are $x + y = 6$ (solid) and $2x + y = 8$ (solid). Which point is inside the feasible region?

$(5, 5)$

$(3, 4)$

$(2, 3)$

$(0, 7)$