Putting an equation in standard form when you have fractions

The video tutorial explains how to convert an equation into standard form, focusing on eliminating fractions and ensuring the leading coefficient is positive. It covers finding the least common denominator, multiplying terms to remove fractions, and adjusting signs to finalize the standard form. The process is demonstrated step-by-step, ensuring clarity in handling fractional coefficients and negative signs.

What is one of the conditions for a standard form equation?

• The coefficient of the variable must be a fraction.

• The equation must include at least three variables.

• The equation must have a negative constant.

• The coefficient of the variable cannot be negative.

When dealing with fractions in equations, what is the first step?

• Add all fractions together.

• Ignore the fractions.

• Find the least common denominator.

• Convert fractions to decimals.

What should you do after moving terms to one side of the equation?

• Subtract the smallest term from both sides.

• Add a constant to both sides.

• Multiply all terms by the least common denominator.

• Divide all terms by the largest coefficient.

How do you ensure the final equation is in standard form?

• Make sure all coefficients are negative.

• Ensure there are no fractions and the leading coefficient is positive.

• Add fractions back into the equation.

• Include at least one variable with a fractional exponent.

What is the result of multiplying 20 by -3/4 in the context of the equation?

• -15

• 15

• 60

• -60