Writing and Solving Equations to Solve Multistep Word Problems

This lesson teaches how to solve multi-step word problems by writing and solving equations. It begins with a review of solving equations with variables, using an example equation. The lesson then introduces a real-world problem involving the cost of a field trip, breaking down the total cost into components and writing an equation to find the entrance ticket price. The solution involves combining like terms, subtracting, and dividing to find the ticket cost. The lesson concludes with a summary of the problem-solving process.

What is the first step in solving the equation 2x + x - 5 = 4?

• Subtract 4 from both sides

• Divide by 3

• Combine like terms

• Add 5 to both sides

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

• $9.50

• $18.00

• $36.50

• $27.00

What does the gift shop coupon represent in the equation?

• The full cost of the entrance ticket

• 50% of the entrance ticket cost

• The cost of lunch

• A fixed discount of $5

How do you solve for the entrance ticket cost in the equation?

• Add 9.50 to both sides

• Divide by 2

• Multiply by 1.5

• Subtract 9.50 and divide by 1.5

What is the final cost of the entrance ticket after solving the equation?

• $9.50

• $18.00

• $36.50

• $27.00