Defining Variables and Constraints in Math Word Problems

Charlie introduces the concept of variables and constraints in math word problems, using a factory example to illustrate how constraints limit production. The factory can produce a maximum of 100 pencils or 50 pens daily, and these limits are expressed as constraints. The video explains that constraints are essential in understanding production capacity and solving related math problems.

What are variables in math word problems?

• Fixed values

• Unknown quantities

• Constraints

• Equations

Which of the following is not necessarily present in all math word problems?

• Numbers

• Constraints

• Equations

• Variables

In the factory problem, what is the maximum number of pencils that can be produced each day?

• 200

• 150

• 50

• 100

What is the maximum number of pens that the factory can produce each day?

• 100

• 75

• 50

• 25

What is the constraint for the number of pencils produced?

• 0 ≤ pencils ≤ 200

• 0 ≤ pencils ≤ 150

• 0 ≤ pencils ≤ 100

• 0 ≤ pencils ≤ 50

What is the constraint for the number of pens produced?

• 0 ≤ pens ≤ 100

• 0 ≤ pens ≤ 25

• 0 ≤ pens ≤ 50

• 0 ≤ pens ≤ 75