Solving Equations and Fractions

The video tutorial explains how to solve an equation by distributing terms, isolating variable terms, and solving for x. It covers the process of clearing parentheses, finding a common denominator, and converting the solution to a mixed number. The tutorial emphasizes the importance of understanding fractions and their operations, including multiplication and division by reciprocals.

What is the first step in solving the equation?

• Add fractions

• Convert to mixed number

• Distribute the number

• Multiply by reciprocal

How do you isolate the variable terms on one side of the equation?

• Multiply both sides by zero

• Divide both sides by the variable

• Subtract the same term from both sides

• Add the same term to both sides

What is the least common denominator used to combine the fractions 1/4 and 8/5?

• 10

• 25

• 15

• 20

What is the result of subtracting 1/2 from 6?

• 6.5

• 5.5

• 7

• 5

What operation is equivalent to dividing by a fraction?

• Subtracting the fraction

• Adding the fraction

• Multiplying by the reciprocal

• Dividing by the reciprocal

What is the solution to the equation in improper fraction form?

• 11/2

• 11/27

• 27/110

• 110/27

What is the common factor between 2 and -20 used in the simplification?

• 5

• 1

• 10

• 2

How many times does 27 fit into 110 when converting to a mixed number?

• 5

• 4

• 3

• 6

What is the mixed number form of the solution?

• Negative four and 1/27

• Negative four and 2/27

• Negative four and 3/27

• Negative four and 4/27

What is the final step in solving the equation?

• Add fractions

• Subtract fractions

• Multiply by reciprocal

• Convert to mixed number