Simplifying Algebraic Expressions with Parentheses and Variables

This video tutorial covers the basics of simplifying algebraic expressions by combining like terms and using the distributive property. It provides examples of simplifying expressions with variables and constants, and explains how to multiply and divide monomials. The tutorial also demonstrates how to handle expressions with multiple variables and exponents, and how to multiply binomials and trinomials.

What is the simplified form of the expression 5x + 8 - 2x + 5?

• 3x + 13

• 7x + 13

• 3x + 8

• 5x + 3

Which of the following pairs are like terms?

• 5x and 5y

• 8 and 8x

• 7y and 7

• 3x and -9x

How do you simplify the expression 9(5x + 4)?

• 9x + 4

• 9x + 36

• 45x + 36

• 45x + 4

What is the result of distributing 7 to the expression 3x^2 - 8x + 2?

• 21x^2 - 56x + 14

• 21x^2 - 56x + 2

• 21x^2 - 8x + 14

• 21x^2 - 56x + 4

What is the product of x^2 and x^3?

• x^2

• x^4

• x^6

• x^5

Simplify the expression 4x^3 * 5x^2.

• 20x^5

• 20x^6

• 9x^5

• 9x^6

What is the result of dividing x^8 by x^3?

• x^2

• x^11

• x^5

• x^3

How do you simplify the expression 36x^7 / 4x^3?

• 32x^4

• 9x^10

• 9x^4

• 32x^10

What is the simplified form of (3x + 5)(2x - 3)?

• 6x^2 - 9x + 15

• 6x^2 + x - 15

• 6x^2 - x - 15

• 6x^2 - 9x + 10x - 15

What is the result of multiplying (2x^2 - 7x + 4) by (3x^2 + 5x + 7)?

• 6x^4 - 21x^3 + 9x^2 - 29x + 28

• 6x^4 - 21x^3 + 9x^2 - 49x + 28

• 6x^4 - 11x^3 + 9x^2 - 49x + 28

• 6x^4 - 11x^3 + 9x^2 - 29x + 28