Solving Linear Equations Concepts

This video tutorial covers solving linear equations, including one-step and two-step equations. It explains the process of isolating variables on one side of the equation and balancing both sides. The tutorial also addresses solving equations with fractions using cross-multiplication. Each example is broken down step-by-step to ensure understanding. The video concludes with a summary and encourages viewers to subscribe for more math content.

What is the main goal when solving a linear equation?

• To convert the equation into a quadratic form

• To find the value of the unknown variable

• To eliminate all variables

• To make both sides of the equation equal zero

What is the first step in balancing an equation?

• Add the same number to both sides

• Subtract the same number from both sides

• Move all variables to one side and numbers to the other

• Multiply both sides by zero

In the equation x - 8 = 22, what should be added to both sides to solve for x?

• 8

• 0

• 30

• 22

What is the value of x in the equation x - 8 = 22?

• 22

• 30

• 8

• 14

In the equation x - 8 = 22, what is the result after adding 8 to both sides?

• x = 14

• x = 30

• x = 22

• x = 8

What is the result of adding 8 to both sides in the equation x - 8 = 22?

• x = 22

• x = 8

• x = 30

• x = 14

In the equation x + 7 = 2, what should be subtracted from both sides to solve for x?

• 0

• 9

• 7

• 2

What is the value of x in the equation x + 7 = 2?

• -5

• 0

• 5

• 9

What is the result of subtracting 7 from both sides in the equation x + 7 = 2?

• x = 0

• x = 5

• x = 9

• x = -5

In the equation 3y = -21, what operation is needed to isolate y?

• Multiply both sides by 3

• Subtract 3 from both sides

• Divide both sides by 3

• Add 3 to both sides