Solving Linear Equations: Finding Solutions in One Variable

In this video, the teacher demonstrates how to solve linear equations in one variable through four examples. The first example uses transposition to solve X + 7 = 12. The second example involves solving 2X + 3 = 9 by transposing and dividing. The third example introduces the distributive property to solve equations with parentheses. The final example covers solving fractional equations using cross multiplication and another method. The video aims to teach students different techniques for solving linear equations.

What is the main topic of the video?

• Solving inequalities

• Solving systems of equations

• Solving linear equations in one variable

• Solving quadratic equations

In the equation X + 7 = 12, what is the value of X?

• 7

• 12

• 3

• 5

Which method is used to solve the equation X + 7 = 12?

• Cross multiplication

• Distributive property

• Transposition method

• Factoring

In the equation 2X + 3 = 9, what is the first step to isolate X?

• Multiply both sides by 2

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 2

What is the value of X in the equation 2X + 3 = 9?

• 3

• 6

• 2

• 4

In the equation 3(3X + 2) = 2, what property is used to simplify the left side?

• Associative property

• Distributive property

• Identity property

• Commutative property

What is the value of X in the equation 3(3X + 2) = 2?

• 2/3

• -4/9

• 4/9

• -2/3

In the equation (2X - 3)/6 = X + 4, what is the first method used to solve it?

• Distributive property

• Transposition method

• Cross multiplication

• Factoring

What is the value of X in the equation (2X - 3)/6 = X + 4?

• 4/27

• -4/27

• 27/4

• -27/4

What should you do to check if your solution to an equation is correct?

• Substitute the solution back into the original equation

• Subtract the solution from both sides

• Multiply the solution by both sides

• Add the solution to both sides