Solving Equations and Word Problems

This video tutorial teaches how to solve real-world problems using one-step equations involving multiplication and division. It covers three scenarios: calculating the cost of candy for students, splitting a dinner bill among friends, and determining the number of books purchased at a sale. Each problem is solved by setting up an equation, performing operations to isolate the variable, and verifying the solution through substitution.

What is an equation?

• A mathematical operation

• A statement that two expressions are equal

• A variable

• A number

If Miss Smith bought candy for 22 students and the total cost was $1.10, what is the cost of each candy?

• 10 cents

• 5 cents

• 15 cents

• 20 cents

How do you verify the solution to an equation?

• By substituting the solution back into the equation

• By asking a friend

• By guessing

• By using a calculator

Three friends split a dinner bill evenly, and each paid $7. What was the total bill?

• $21

• $28

• $35

• $14

What operation is used to solve the equation b/3 = 7?

• Division

• Multiplication

• Subtraction

• Addition

If each book costs $2 and Deja spent $14, how many books did she buy?

• 5 books

• 8 books

• 6 books

• 7 books

What is the first step in solving the equation 2b = 14?

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 2 from both sides

• Divide both sides by 2

What does the variable 'b' represent in the equation 2b = 14?

• The total cost

• The number of books purchased

• The cost of each book

• The number of students

Why is it important to verify your solution to an equation?

• To find a new solution

• To ensure the equation is balanced

• To make the problem more complex

• To change the equation

What type of problems were solved in this video?

• Real-world problems involving calculus

• Real-world problems involving multiplication and division

• Real-world problems involving subtraction

• Real-world problems involving addition