Solving Linear Equations Concepts

The video tutorial explains how to solve an equation for the value of x. It begins with setting up the equation and grouping like terms. The process involves finding the lowest common denominator to handle fractions, simplifying the equation, and finally solving for x using cross multiplication. The solution is presented as x equals 2 over 5.

What is the initial problem we are trying to solve?

• Finding the value of a

• Finding the value of x

• Finding the value of y

• Finding the value of z

What is the first step in solving the equation?

• Add 5 to both sides

• Subtract 3 from both sides

• Copy the given equation

• Multiply both sides by 2

What should you remember when solving equations?

• The rules of solving equations

• The rules of addition

• The rules of subtraction

• The rules of multiplication

What is the next step after copying the equation?

• Multiply by 3

• Add 3 to both sides

• Divide by 2

• Group the like terms

Why do we find the lowest common denominator?

• To divide fractions

• To multiply fractions

• To simplify the equation

• To add fractions

What is the lowest common denominator in this problem?

• 3

• 5

• 2

• 1

What operation is performed after finding the lowest common denominator?

• Addition

• Subtraction

• Multiplication

• Division

What is the result of simplifying the equation?

• 5x over 2 equals negative 1

• 5x over 2 equals 1

• Negative 5x over 2 equals negative 1

• Negative 5x over 2 equals 1

What is the next step after simplifying the equation?

• Divide by 2

• Add 2 to both sides

• Cross-multiply

• Subtract 2 from both sides

What is the result of cross-multiplying?

• Negative 5x equals negative 2

• 5x equals 2

• Negative 5x equals 2

• 5x equals negative 2