Understanding Fractions and Equations

This video tutorial demonstrates solving a two-step equation with fractions using two methods. The first method involves working directly with fractions, isolating the variable, finding a common denominator, and using reciprocals. The solution is verified by substitution, and the improper fraction is expressed as a mixed number. The video also mentions an alternative method of clearing fractions before solving.

What is the first step in solving a two-step equation with fractions?

• Multiply both sides by the reciprocal

• Clear the fractions first

• Add or subtract to isolate the variable term

• Divide both sides by the variable

What is the goal when solving for x in a two-step equation?

• To multiply all terms by the same number

• To eliminate all fractions

• To have the equation in the form x equals some number or fraction

• To have x on the right side of the equation

Why do we need a common denominator when adding fractions?

• To convert fractions into whole numbers

• To simplify the equation

• To ensure the fractions are equivalent

• To make the fractions easier to multiply

What is the least common multiple of 4 and 6?

• 8

• 10

• 12

• 14

What is the reciprocal of 2/3?

• 1/2

• 2/3

• 3/1

• 3/2

Why do we multiply by the reciprocal instead of dividing by a fraction?

• It avoids complex fractions

• It is a standard mathematical rule

• It simplifies the equation

• It is easier to calculate

What is the solution to the equation in simplest form?

• 1 and 3/4

• 1 and 5/8

• 13/8

• 13/4

How do you express an improper fraction as a mixed number?

• Subtract the denominator from the numerator

• Add the numerator to the denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

What is the remainder when 13 is divided by 8?

• 3

• 4

• 5

• 6

What should you do to verify the solution of an equation?

• Check if the solution satisfies the original equation

• Add the solution to the original equation

• Divide the solution by the original equation

• Multiply the solution by the original equation