Solving One Step Equations Involving Fractions

This video tutorial covers solving one-step equations involving fractions. It begins with an introduction to the topic, followed by several examples demonstrating how to isolate the variable in equations such as X + 1/120 = 1/5, X - 2/3 = 3/4, 3/4X = 15/28, 6X = 4/15, and -4/9X = 14/15. Each example illustrates the process of performing opposite operations to isolate the variable, ensuring the equation remains balanced. The video concludes with a summary of the methods used.

What operation is performed to both sides of the equation to isolate the variable?

• Division

• Multiplication

• Subtraction

• Addition

What is the least common multiple (LCM) of 4 and 3?

• 12

• 6

• 7

• 9

What is the simplified form of 17/12 as a mixed number?

• 1 1/2

• 1 5/12

• 1 3/4

• 2 1/4

When solving equations with fractions, what operation is preferred over division?

• None of the above

• Multiplication by the reciprocal

• Addition

• Subtraction

What is the result of multiplying both sides of an equation by the reciprocal of a fraction?

• The variable is eliminated

• The variable is isolated

• The equation becomes undefined

• The equation remains unchanged

What is the correct solution for the equation 3/4x = 15/28?

• 5/7

• 4/7

• 3/7

• 2/7

What common factor do 28 and 4 share?

• 6

• 4

• 2

• 8

What is the result of simplifying the equation 6x = 4/15 by multiplying both sides by the reciprocal of 6?

• 2/45

• 3/45

• 4/45

• 1/45

How is an improper fraction converted to a mixed number?

• By multiplying the numerator by the denominator

• By adding the numerator to the denominator

• By subtracting the denominator from the numerator

• By dividing the numerator by the denominator

What is the simplified form of -21/10 as a mixed number?

• -3 1/10

• -1 11/10

• -2 1/5

• -2 1/10