Word Problems and 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 letter representing a number

• A mathematical operation

What is the first step in solving a word problem?

• Define the variable

• Solve the equation

• Determine the operation

• Write the equation

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

• Write the equation

• Determine the operation

• Check your answer

• Solve the equation

How many miles does Claire need to run by Friday?

• 32 miles

• 20 miles

• 8 miles

• 40 miles

What equation represents Claire's running problem?

• m + 40 = 32

• m - 32 = 40

• 32 + m = 40

• 40 - m = 32

How much change did Carmen receive after buying a book?

• $8

• $12

• $32

• $20

What operation is used in Carmen's problem to find the initial amount of money?

• Addition

• Subtraction

• Division

• Multiplication

What is the equation used to solve Carmen's problem?

• m - 8 = 12

• m + 8 = 12

• 8 + m = 20

• m - 12 = 8

What is the value of m in Carmen's problem?

• 8

• 12

• 20

• 32

What skill was reinforced in the conclusion of the video?

• Graphing linear equations

• Using variables in geometry

• Writing equations for real-world problems

• Solving equations with multiplication