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

Tags

CCSS.7.EE.A.1

Which of the following pairs are like terms?

• 5x and 5y

• 8 and 8x

• 7y and 7

• 3x and -9x

Tags

CCSS.6.EE.A.2B

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

• 9x + 4

• 9x + 36

• 45x + 36

• 45x + 4

Tags

CCSS.6.EE.A.3

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

Tags

CCSS.6.EE.A.3

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

• x^2

• x^4

• x^6

• x^5

Tags

CCSS.HSA.APR.A.1

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

• 20x^5

• 20x^6

• 9x^5

• 9x^6

Tags

CCSS.HSA.APR.A.1

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

• x^2

• x^11

• x^5

• x^3

Tags

CCSS.HSA.APR.A.1

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

• 32x^4

• 9x^10

• 9x^4

• 32x^10

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1

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

Tags

CCSS.HSA.APR.A.1