Solving Equations with Variables and Fractions

What is the preferred initial step in solving equations with fractional coefficients?

• Multiply by the least common multiple

• Divide by the greatest common divisor

• Subtract the fractions from each other

• Add the fractions together

What is the least common multiple of 3 and 6 used in the example?

• 3

• 6

• 12

• 18

What is the purpose of multiplying every term by the least common multiple?

• To simplify the equation

• To find the variable's value directly

• To eliminate the fractions

• To increase the equation's complexity

How do you convert a whole number into a fraction for multiplication purposes?

• Multiply by 2

• Divide by 1

• Add 1 to the numerator

• Subtract 1 from the denominator

What happens when you multiply a fraction by its reciprocal?

• You get 1

• The fraction is halved

• You get 0

• The fraction is squared

What is the result of 6 times 9 in the process of distributing the least common multiple?

• 15

• 54

• 45

• 36

What is the next step after rewriting the equation with simplified values?

• Substitute the variable with its value

• Divide both sides by the variable

• Collect like terms on opposite sides

• Multiply both sides by the least common multiple again

What operation is used to isolate the variable after collecting like terms?

• Division

• Multiplication

• Subtraction

• Addition

How do you check if the solution to the equation is correct?

• Multiply the solution by the coefficient

• Substitute the solution back into the original equation

• Divide the solution by the least common multiple

• Add the solution to each side of the equation

What is the final solution of the equation as demonstrated in the video?

• X = 14

• X = 10

• X = 12

• X = 8