Solving Multi-Step Linear Equations with Fractions

Anil Kumar's video tutorial covers solving equations with fractions using two main strategies: cross multiplication and using the lowest common multiple (LCM). The video provides eight examples to illustrate these methods, ensuring viewers understand how to eliminate fractions and solve linear equations. The tutorial emphasizes checking solutions and applying strategies to various types of equations, including those with multiple terms and variables in the denominator. By the end, viewers should be able to solve any equation involving fractions using these techniques.

What are the two main strategies discussed for solving equations with fractions?

• Cross multiplication and substitution

• Cross multiplication and elimination

• Cross multiplication and getting rid of fractions

• Substitution and elimination

In the cross multiplication strategy, what happens to the term on the left side of the equation?

• It gets divided by the term on the right side

• It gets multiplied by the term on the right side

• It remains unchanged

• It gets added to the term on the right side

What is the result of solving the equation X + 2 over 3 equals 4 using cross multiplication?

• X = 8

• X = 14

• X = 10

• X = 12

When using the LCM strategy, what is the first step?

• Divide both sides by the LCM

• Subtract the LCM from both sides

• Add the LCM to both sides

• Multiply both sides by the LCM

What is the LCM of the denominators 3, 6, and 2?

• 12

• 6

• 18

• 3

In the equation 4x over 3 equals 7 over 6 minus 5x over 2, what is the LCM used to eliminate the fractions?

• 3

• 6

• 12

• 18

What is the solution to the equation 4x over 3 equals 7 over 6 minus 5x over 2 after applying the LCM strategy?

• X = 7/3

• X = 7/6

• X = 7/12

• X = 7/23

What is the LCM of the denominators 5 and 2?

• 20

• 5

• 10

• 15

In the equation 10 times 2 over 5 times 3x minus 1 equals 4 times 10 minus 10 times 1/2 X plus 2, what is the simplified form after applying the LCM?

• 4 times 3x minus 1 equals 40 plus 5x plus 10

• 4 times 3x minus 1 equals 40 plus 5x minus 10

• 4 times 3x minus 1 equals 40 minus 5x plus 10

• 4 times 3x minus 1 equals 40 minus 5x minus 10

What is the final solution to the equation 2x equals 12 minus X after applying the LCM strategy?

• X = 2

• X = 5

• X = 3

• X = 4