Solving Real-World Problems with Equations

This video tutorial teaches how to solve real-world problems using addition and subtraction by writing equations. It begins with an introduction to key concepts like equations and variables, followed by a structured plan for solving word problems. Two examples are provided: one about Claire's marathon training and another about Carmen's birthday money. Each example demonstrates defining variables, choosing operations, writing equations, and verifying solutions. The video concludes with a summary of the problem-solving process.

What is an equation?

• A statement that two expressions are equal

• A type of variable

• A mathematical operation

• A letter representing a number

What is the first step in solving a word problem?

• Solve the equation

• Determine the operation

• Define the variable

• Write the equation

In the plan of attack, what should you do after defining the variable?

• Solve the equation

• Determine the operation

• Check the answer

• Write the equation

How many miles does Claire need to run by Friday?

• 40 miles

• 8 miles

• 20 miles

• 32 miles

What equation represents Claire's running problem?

• m - 32 = 40

• m + 40 = 32

• 40 - m = 32

• 32 + m = 40

How much money did Carmen's mom give her?

• $12

• $8

• $32

• $20

What operation is used in Carmen's problem?

• Addition

• Division

• Multiplication

• Subtraction

What is the equation for Carmen's birthday money problem?

• m = 20

• 12 - m = 8

• m + 8 = 12

• m - 8 = 12

What is the purpose of checking your solution in an equation?

• To rewrite the problem

• To change the operation

• To ensure the equation is balanced

• To find a new variable

What did you learn in this video?

• How to write essays

• How to solve real-world problems using equations

• How to multiply numbers

• How to draw graphs