Isolating Variables and Fractions

This video tutorial covers solving one-step equations involving fractions. It begins with an introduction to the topic, followed by examples using addition and subtraction to isolate variables. The tutorial then demonstrates solving equations using multiplication, including handling negative fractions. The video aims to provide a clear understanding of the basic principles and techniques for solving one-step equations with fractions.

What is the main goal when solving a linear equation?

• To simplify the equation as much as possible

• To make both sides of the equation equal

• To find the value of the variable

• To eliminate all fractions

If you have the equation x - 1/2 = 1/4, what should you do to isolate x?

• Divide both sides by 1/2

• Multiply both sides by 2

• Subtract 1/2 from both sides

• Add 1/2 to both sides

In the equation x + 3/4 = 4/5, what is the first step to isolate x?

• Subtract 3/4 from both sides

• Multiply both sides by 4/5

• Add 3/4 to both sides

• Divide both sides by 3/4

What is the least common denominator of 5 and 4?

• 15

• 25

• 10

• 20

When solving 2/3 x = 4/21, what operation should be used to isolate x?

• Multiply both sides by 3/2

• Subtract 2/3 from both sides

• Divide both sides by 3/2

• Add 2/3 to both sides

What is the reciprocal of 2/3?

• 3/2

• 2/3

• 1/3

• 3/1

In the equation 5y = 10/13, what is the reciprocal of 5?

• 13/10

• 10/13

• 5/1

• 1/5

How do you handle negative fractions in equations like -2/7 x = 4/5?

• Add 2/7 to both sides

• Subtract 2/7 from both sides

• Multiply both sides by -7/2

• Divide both sides by -7/2

What is the mixed number equivalent of -14/5?

• -3 and 1/5

• -2 and 3/5

• -2 and 4/5

• -3 and 2/5

What is the first step to convert an improper fraction to a mixed number?

• Add the numerator to the denominator

• Divide the numerator by the denominator

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator