Solving Equations with Negatives and Fractions

What is the first step in solving an equation with variables on both sides?

• Isolate the variable

• Move all terms to one side

• Add the same number to both sides

• Multiply both sides by zero

How do you convert a mixed number to an improper fraction?

• Multiply the whole number by the denominator and add the numerator

• Divide the numerator by the denominator

• Add the whole number to the numerator

• Subtract the numerator from the whole number

What is the reciprocal of a fraction?

• The fraction divided by two

• The fraction with the numerator and denominator swapped

• The fraction itself

• The fraction multiplied by zero

When subtracting fractions, what must you ensure?

• The denominators are the same

• The fractions are mixed numbers

• The numerators are the same

• The fractions are improper

What is the lowest common denominator of 4 and 5?

• 10

• 15

• 20

• 25

What does the distributive property involve?

• Subtracting the same number from both sides

• Adding the same number to both sides

• Multiplying a term outside the parentheses by each term inside

• Dividing both sides by the same number

How do you handle a fraction outside parentheses in an equation?

• Divide it by the terms inside

• Ignore it

• Apply the distributive property

• Add it to the terms inside

What is the result of multiplying a fraction by its reciprocal?

• One

• The fraction itself

• Zero

• The reciprocal

What is the final step in solving an equation with a fractional coefficient?

• Subtract the reciprocal from both sides

• Divide by the reciprocal

• Multiply by the reciprocal to isolate the variable

• Add the reciprocal to both sides

What happens when you multiply two negative numbers?

• The result is undefined

• The result is zero

• The result is positive

• The result is negative