Translating Word Problems with Three Facts and Unknowns

This video tutorial continues the process of translating word problems into equations, focusing on more challenging examples. It covers problems involving rectangles, triangles, weights, money distribution, and pipe cutting. Each example demonstrates how to identify unknowns, assign variables, and form equations using given information and relevant formulas.

What is the first step in translating a word problem into an equation?

• Assign variables to known quantities

• Identify the unknown variables

• Draw a diagram

• Write down the formula

If the width of a rectangle is represented by x, how would you represent the length if it is one meter more than the width?

• x - 1

• x + 1

• x + 2

• 2x

In the triangle example, what type of triangle are we dealing with?

• Right

• Isosceles

• Equilateral

• Scalene

How do you represent the two equal sides of the isosceles triangle in the example?

• x and x + 1

• x and x

• x and x + 15

• x and 15

In the example involving Luis, his luggage, and his backpack, which unknown do we assign the variable x to?

• The backpack's weight

• The luggage's weight

• The total weight

• Luis's weight

How is Luis's weight expressed in terms of the variable x?

• x + 20

• x + 30

• 3(x + 20)

• 3x

In the money example, how is Dave's amount of money represented if Henry's amount is x?

• 6x

• 2x

• 3x

• x + 2

What is the total amount of money held by Maribel, Dave, and Henry?

• $150

• $200

• $180

• $100

In the pipe example, if the shortest piece is x, how is the medium piece represented?

• x - 1

• x + 3

• x + 1

• x + 2

What is the final equation for the pipe example?

• x + (x + 1) + (x + 2) = 10

• x + (x + 1) + (x + 1 + 2) = 10

• x + (x + 2) + (x + 1) = 10

• x + (x + 1) + (x + 3) = 10