Solving Equations and Word Problems

This video tutorial teaches how to solve multi-step word problems by writing and solving equations. It begins with a review of solving equations with variables, followed by a practical example involving the cost of a field trip. The problem is broken down into components, and an equation is formed and solved to find the cost of an entrance ticket. The lesson concludes with a summary of the steps involved in solving such problems.

What is the main focus of this lesson?

• Learning to solve single-step equations

• Understanding multi-step word problems

• Reviewing basic arithmetic operations

• Exploring geometry concepts

In the equation 2X + X - 5 = 4, what is the first step to simplify it?

• Combine like terms

• Add 5 to both sides

• Subtract 5 from both sides

• Divide by 3

What is the total cost per student for the field trip?

• $45.00

• $9.50

• $18.00

• $36.50

What does the gift shop coupon represent in the word problem?

• A free lunch

• A discount on the total cost

• 50% off the entrance ticket

• A free entrance ticket

How is the entrance ticket represented in the equation?

• As the variable Z

• As the variable Y

• As the variable T

• As the variable X

What is the first step in solving the equation for the entrance ticket cost?

• Subtract 9.50 from both sides

• Combine X and 0.5X

• Divide by 1.5

• Add 9.50 to both sides

After combining like terms, what is the next step in solving the equation?

• Add 9.50 to both sides

• Divide by 2

• Subtract 9.50 from both sides

• Multiply by 1.5

What is the final cost of the entrance ticket?

• $27.00

• $36.50

• $9.50

• $18.00

What key skill is reinforced by solving the word problem in this lesson?

• Understanding geometry

• Writing and solving equations

• Learning multiplication tables

• Exploring algebraic expressions