Solving Equations with Fractions

This video tutorial covers solving two-step equations with fractions. It begins with an introduction to the concept of isolating the variable in a linear equation. The video then provides three detailed examples, demonstrating how to solve equations by adding or subtracting terms and then multiplying or dividing by the reciprocal. Each example emphasizes the importance of maintaining equality by performing the same operation on both sides of the equation. The tutorial also highlights the process of finding a common denominator and converting improper fractions to mixed numbers.

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

• Divide both sides by the variable

• Add or subtract to isolate the variable term

• Multiply both sides by the variable

• Convert all fractions to decimals

In the equation 2X + 1/4 = 3/5, what operation is used to eliminate the fraction 1/4?

• Multiply both sides by 4

• Subtract 1/4 from both sides

• Divide both sides by 4

• Add 1/4 to both sides

How do you solve for X in the equation 2X = 7/20?

• Multiply both sides by 1/2

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

What is the common denominator used to solve the equation 2/5X - 1/2 = 3/5?

• 5

• 10

• 20

• 15

In the equation 2/5X = 11/10, what is the reciprocal of 2/5 used to solve for X?

• 2/5

• 5/2

• 10/11

• 11/10

How is the improper fraction 11/4 converted to a mixed number?

• 2 and 3/4

• 3 and 3/4

• 3 and 1/4

• 2 and 1/4

In the equation 1/4 = 3/5X - 5, what operation is used to eliminate the -5?

• Add 5 to both sides

• Subtract 5 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the common denominator used to solve the equation 1/4 + 5 = 3/5X?

• 5

• 20

• 10

• 4

How do you solve for X in the equation 3/5X = 35/4?

• Add 5/3 to both sides

• Multiply both sides by 3/5

• Divide both sides by 3/5

• Multiply both sides by 5/3

How is the improper fraction 35/4 converted to a mixed number?

• 9 and 1/4

• 8 and 3/4

• 8 and 1/4

• 7 and 3/4