Solving Linear Equations and Applications

This video tutorial for grade 8 math focuses on writing situations from equations with variables on both sides. It explains the use of inverse operations to solve these equations and highlights the role of coefficients and variables. The tutorial provides examples of real-life situations that can be represented by equations, such as comparing costs. It also offers guidance on solving equations by isolating variables and suggests additional resources for students who need further clarification.

What is the purpose of using inverse operations in solving equations with variables on both sides?

• To eliminate the constant terms

• To simplify the coefficients

• To convert the equation into a quadratic form

• To isolate the variable terms on one side

In the equation 3x + 5 = 2x + 10, what is the coefficient of x on the left side?

• 5

• 3

• 2

• 10

Which of the following is a constant term in the equation 4y + 7 = 3y + 12?

• 4y

• 3y

• y

• 7

What could the equation 150 + 25x = 55x represent in a real-life scenario?

• The cost of buying groceries with a discount

• The cost of staying in a hotel with a fixed fee and a daily charge

• The cost of renting a car with a daily fee and a mileage charge

• The cost of a meal with a fixed price and a per person charge

If 150 + 25x = 55x, what does the term 55x on the right side represent?

• A standalone number

• A daily or hourly charge

• A fixed deposit

• A coefficient

How do you solve the equation 150 + 25x = 55x to find the number of days for equal fees?

• Multiply both sides by 30

• Subtract 25x from both sides

• Divide both sides by 55

• Add 25x to both sides

What is the result of dividing both sides of the equation 150 = 30x by 30?

• x = 5

• x = 30

• x = 0

• x = 150

What should you do if you're confused about the concepts of variables and inverse operations?

• Review previous videos from Grade 7

• Ask a friend for help

• Skip to the next chapter

• Ignore the confusion and move on

Which video is recommended for understanding the concept of the 'invisible one'?

• 7.1 B

• 6.2 A

• 6.2 B

• 6.2 C

What will be the focus of the next video, 7.1 C?

• Solving quadratic equations

• Writing equations from descriptions

• Graphing linear equations

• Understanding coefficients