Simplifying Rational Expressions: Key Concepts and Techniques

What is the result of simplifying the expression 3 times 15 over 5 times 15?

• 5/15

• 3/5

• 15/5

• 3/15

In the expression 4 times 3a over 1 times 3, what factor is common and can be cancelled?

• 4

• 1

• 3

• 3a

What common factor can be cancelled in the expression 64 over 80?

• 32

• 16

• 8

• 4

When simplifying the expression (x^2 - 9) over (x - 3), what is the simplified form after cancellation?

• x + 9

• x^2

• x - 3

• x + 3

In the expression (a^2 - 9) over (a + 3), what is the common factor that can be cancelled?

• a + 3

• a^2

• a - 3

• 9

What is the restriction on the variable x in the expression x/(x - 3)?

• x ≠ 9

• x ≠ -3

• x ≠ 0

• x ≠ 3

What values of x are restricted in the expression (5x + 3) over (x^4)?

• x ≠ 0

• x ≠ 1

• x ≠ -1

• x ≠ 3

What is the restriction on the variable a in the expression (a - b) over (2a - 2b)?

• a ≠ 1

• a ≠ b

• a ≠ 2b

• a ≠ 0

What is the simplified form of the expression (x^2 - 28x) over (x - 7) after factoring and cancelling?

• x - 4

• x - 7

• x + 4

• x + 7

What is the simplified form of the expression (x^2 - 35x) over (x - 7) after factoring and cancelling?

• x - 5

• x + 5

• x - 7

• x + 7