Grade 9 Linear Programming Worksheet

A worksheet for Grade 9 students covering fundamental concepts of linear programming, including inequalities, feasible regions, and objective functions.

Grade 9 Math AlgebraLinear Programming

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Multiple ChoiceFill in the BlanksShort AnswerLong Answer

Standards

CCSS.MATH.CONTENT.HSA.CED.A.3CCSS.MATH.CONTENT.HSA.REI.D.12

Topics

mathalgebragrade 9linear programminginequalities

6 sections · Free to use · Printable

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Linear Programming Fundamentals

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following is NOT a component of a linear programming problem?

Objective function

Constraints

Feasible region

Quadratic equations

2. The region satisfying all constraints in a linear programming problem is called the:

Optimal solution

Objective region

Feasible region

Constraint boundary

1. Linear programming is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of .

2. The inequalities in a linear programming problem are called .

3. The function that needs to be maximized or minimized is called the function.

1. Graph the inequality y ≤ 2x + 1 on the coordinate plane below.

2. Graph the system of inequalities: x + y ≥ 3 and y ≤ -x + 5. Shade the feasible region.

1. A company makes two types of products, A and B. Product A requires 2 hours of labor and 1 unit of raw material. Product B requires 1 hour of labor and 2 units of raw material. The company has 100 hours of labor and 80 units of raw material available. If the profit from Product A is $50 and from Product B is $40, formulate the linear programming problem to maximize profit.

Define your variables:

Write the objective function:

Write the constraints: