Solving Linear Equations Steps

The video tutorial covers solving equations of varying difficulty, starting with basic equations and progressing to more complex ones. It explains the steps involved in isolating variables, using addition, subtraction, and division. The tutorial also discusses the importance of checking solutions and understanding the use of variables like 't' and 'x'. The final section demonstrates solving a complex equation with multiple steps, emphasizing the handling of negative numbers and the importance of clear notation.

What is the first step to solve the equation x - 2 = 5?

• Multiply both sides by 2

• Add 2 to both sides

• Subtract 5 from both sides

• Divide both sides by 2

After removing the constant from both sides in the equation 3x + 1 = 10, what is the next step?

• Divide by 3

• Multiply by 3

• Subtract 1 from both sides

• Add 1 to both sides

What should you do after subtracting 1 from both sides in the equation 3x + 1 = 10?

• Subtract 3 from both sides

• Divide by 3

• Multiply by 3

• Add 1 to both sides

In the equation 5t - 2 = t + 4t, what should you do after adding 2 to both sides?

• Add t to both sides

• Subtract t from both sides

• Divide both sides by 2

• Multiply both sides by 5

What is the result of dividing both sides of the equation 5t = 16 by 5?

• t = 0

• t = 3.2

• t = 16

• t = 5

Why is the letter 't' commonly used in equations?

• It is easier to write than other letters

• It is used for time and temperature

• It represents unknown variables

• It is the first letter of the alphabet

What is the purpose of adding a curly tail to the letter 't' when writing equations?

• To make it look like the letter 'x'

• To distinguish it from the plus sign

• To make it look fancy

• To make it easier to write

What is the first step in solving the equation 4 - y = 2y + 3?

• Add y to both sides

• Subtract 3 from both sides

• Subtract 4 from both sides

• Add 4 to both sides

How do you handle the equation after getting -3y = -1?

• Add 3 to both sides

• Multiply both sides by -1

• Divide both sides by -3

• Subtract 1 from both sides

What happens to the negatives when you divide -3y = -1 by -3?

• They multiply

• They remain unchanged

• They cancel each other out

• They add up