Solving Two-Step Equations in Word Problems

The video tutorial focuses on applying skills to solve real-world problems using two-step and multi-step equations. It includes examples such as calculating the time taken for bicycle repair, determining the duration of a landscaping job, and finding the dimensions of a sandbox using its perimeter. Each example is broken down into steps, demonstrating how to set up equations, solve for variables, and interpret results.

What is the main focus of the lesson?

• Learning about geometry

• Solving quadratic equations

• Solving real-world problems using two-step and multi-step equations

• Understanding fractions

If a mechanic charges $40 per hour and the parts cost $35, what is the total cost if the mechanic works for 2 hours?

• $95

• $80

• $75

• $115

How long did it take the mechanic to fix the bicycle if the total cost was $95?

• 2.5 hours

• 2 hours

• 1.5 hours

• 1 hour

What is the cost of labor per hour for the landscaper?

• $28

• $20

• $30

• $25

If the total cost for the landscaping job is $168 and the cost of plants and materials is $105, how many hours did the landscaper work?

• 4 hours

• 1 hour

• 2.25 hours

• 3 hours

What is the width of the sandbox if the perimeter is 280 inches and the length is 20 inches longer than the width?

• 50 inches

• 55 inches

• 65 inches

• 60 inches

If the width of the sandbox is 60 inches, what is the length?

• 85 inches

• 70 inches

• 75 inches

• 80 inches

What is the first step in solving the equation for the width of the sandbox?

• Subtracting 20

• Dividing by 4

• Adding 20

• Combining like terms

What is the final step in solving the equation for the width of the sandbox?

• Subtracting 40

• Adding 40

• Multiplying by 4

• Dividing by 4

What should students do after finishing their notes?

• Review them

• Submit them

• Share them with friends

• Ignore them