Solving Multi-Step Linear Equations

The video tutorial explains how to solve multi-step linear equations in one variable, focusing on isolating the variable. It covers clearing fractions by multiplying by the least common denominator, simplifying the equation, and isolating the variable through addition or subtraction. The solution is presented as both an improper fraction and a mixed number.

What is the primary goal when solving a multi-step linear equation?

• To convert fractions to decimals

• To isolate the variable on one side

• To find the least common denominator

• To multiply all terms by the same number

Why do we multiply every term by the least common denominator?

• To change the equation's solution

• To add more variables

• To make the equation longer

• To eliminate fractions from the equation

What is the least common multiple of 5 and 4?

• 15

• 25

• 10

• 20

After clearing fractions, what is the next step in solving the equation?

• Add more fractions

• Isolate the variable

• Multiply by another number

• Convert to decimals

How can you eliminate a variable term from one side of the equation?

• Subtract the term from both sides

• Add the same term to both sides

• Divide the term by itself

• Multiply the term by zero

What operation is used to isolate the variable when it is multiplied by a number?

• Addition

• Subtraction

• Multiplication

• Division

What is the improper fraction form of the solution?

• -26/2

• -8/3

• -26/3

• -80/3

How do you convert an improper fraction to a mixed number?

• Multiply the numerator by the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

• Add the numerator and denominator

What is the mixed number form of -80/3?

• -25 2/3

• -26 2/3

• -27 1/3

• -26 1/3

Why is it important to express the solution in different forms?

• To use more paper

• To confuse the reader

• To verify the solution

• To make the solution longer