Operations and Identities in Algebra

What is the least common denominator used for in solving rational equations?

• To eliminate denominators

• To add fractions

• To simplify fractions

• To find the greatest common factor

What is the result of multiplying and dividing by the same number?

• The original number

• The reciprocal of the number

• Zero

• One

If 3x equals 1, what operation should be performed to solve for x?

• Subtract 3

• Add 3

• Divide by 3

• Multiply by 3

When distributing a number across terms in parentheses, what should you do?

• Add the number to each term

• Divide each term by the number

• Subtract the number from each term

• Multiply the number by each term

In the equation 1 divided by x equals 8, what is x?

• 0

• 1

• 1/8

• 8

What is a rational expression?

• A sum of two numbers

• A difference of two polynomial expressions

• A product of two numbers

• A ratio of two polynomial expressions

What operation is used to solve the equation 3 over the sum of x and 5 equals 3?

• Subtraction

• Addition

• Multiplication

• Division

How do you verify a solution to a rational equation?

• By multiplying both sides by zero

• By subtracting the same number from both sides

• By checking if both sides are equal

• By adding the same number to both sides

What does it mean when two expressions form an identity?

• They are undefined

• They are opposites

• They are equal

• They are different

What is the solution to the equation 4 times x divided by the difference of x and 2 equals 6 over 2?

• x = 6

• x = -6

• x = -2

• x = 2