Solving Equations with Variable Denominators

The video tutorial explains how to find common denominators in equations, starting with simple numbers and progressing to variables. It demonstrates the process of solving equations by making denominators the same and then eliminating them to simplify the equation. The tutorial also covers more complex cases involving expressions like x minus one, providing examples to clarify the concept.

What is a common denominator?

• A number that is common to all numerators

• A number that is common to all denominators

• A number that is common to all variables

• A number that is common to all equations

What is the common denominator for the equation x/3 + 1/2 = x/4?

• 6

• 12

• 3

• 24

What is the first step in solving equations with variable denominators?

• Subtract all the terms

• Find a common denominator

• Add all the terms

• Multiply all the terms

How do you find a common denominator for equations with variables?

• By multiplying the denominators

• By adding the denominators

• By dividing the denominators

• By subtracting the denominators

What operation is performed on both the numerator and denominator to find a common denominator?

• Multiplication

• Division

• Subtraction

• Addition

What should you do after finding a common denominator?

• Add the denominators

• Ignore the denominators and solve the numerators

• Multiply the denominators

• Divide the denominators

What is the result of 3x equals 8 minus 12?

• 3x equals 4

• 3x equals -4

• 3x equals 12

• 3x equals 0

What is the value of x when 3x equals -4?

• x equals -4/3

• x equals 4/3

• x equals 3/4

• x equals -3/4

What is the result of multiplying 1 by 3x?

• 0

• 1x

• 6x

• 3x

What is the result of multiplying 4 by 2?

• 6

• 8

• 4

• 2