Solving Equations and Word Problems

This video tutorial covers Math 8 Unit 4 Lesson 9, focusing on using equations to compare different scenarios. It begins with a babysitting rate problem, where students learn to set up and solve equations to determine when two payment methods yield the same earnings. The lesson continues with a water tank activity, analyzing changes in water levels over time. Next, an elevator problem is presented, requiring students to solve for heights and times using equations. The video concludes with homework and additional problems, reinforcing the concepts of solving equations and comparing rates.

If you are babysitting and choose the plan that charges $5 for the first hour and $8 for each additional hour, how much will you earn after 3 hours?

• $31

• $29

• $21

• $24

At what time will the two water tanks have the same amount of water?

• 20 minutes

• 25 minutes

• 15 minutes

• 19.5 minutes

What is the height of Elevator A when it reaches the ground level?

• -20 meters

• 15 meters

• 0 meters

• 16 meters

Which elevator will reach a person 14 meters below ground first?

• Both at the same time

• Elevator B

• Neither

• Elevator A

How many months will it take for the cost of Plan A and Plan B to be the same if Plan B includes a $500 phone?

• 30 months

• 25 months

• 15 months

• 20 months

If Han is biking at 16 mph and Priya started half an hour earlier at 12 mph, how long will it take for Han to catch up?

• 1.5 hours

• 2 hours

• 2.5 hours

• 1 hour

For the equation 2/3x + 2 = 4/3x - 6, what is the value of x when both sides are equal?

• 12

• 10

• 8

• 6

Which transformation will map shape A to shape B without altering its dimensions?

• Translation

• Dilation

• Reflection

• Rotation

What is the solution for the equation 3D + 16 = -2 * 5 - 3D?

• D = 8

• D = 10

• D = 26/3

• D = 12

In the equation 9x + 6 - 2x = 7x + 6, how many solutions exist?

• Infinite solutions

• One solution

• No solution

• Two solutions