Exploring Adding and Subtracting Rational Expressions

This video tutorial covers simplifying algebraic expressions by combining like terms and using the distributive property. It begins with a review of these concepts, followed by examples demonstrating how to apply them. The video emphasizes the importance of writing expressions in their simplest form, with variables first and constants last. It also provides step-by-step guidance on distributing terms and combining like terms to achieve simplified expressions.

What is the result of combining -3x and -6x?

• 9x

• -9x

• -3x

• 3x

In the expression -8 - 4 + 1, what is the combined result?

• -10x

• -13x

• -12x

• -11x

What is the result of distributing 2(x + 3)?

• 2x - 3

• 2x - 6

• 2x + 6

• 2x + 3

When distributing -8 in the expression -8(x + 5), what is the result?

• -8x + 40

• -8x - 40

• 8x - 40

• 8x + 40

What is the simplified form of 4 - 3 - 27n?

• 27n + 1

• -27n - 1

• 27n - 1

• -27n + 1

How do you simplify -8x + 28 - 7?

• 8x + 21

• 8x + 35

• -8x + 35

• -8x + 21

What is the result of distributing -4 in the expression 5a - 4(a - 4)?

• 11a + 16

• -11a - 16

• -11a + 16

• 11a - 16

Simplify the expression -4x + 8 - 8.

• 0

• 8x

• 4x

• -4x

What is the simplified form of 3y - 6y - 6?

• -3y - 6

• 3y - 6

• -3y + 6

• 3y + 6

Combine the like terms in -2r - 5r + 15.

• 7r + 15

• -7r + 15

• -7r - 15

• 7r - 15