Simplifying Expressions and Distributive Property

This video tutorial by Mr. J covers how to simplify algebraic expressions by combining like terms and using the distributive property. It begins with an introduction to these concepts, followed by detailed examples. The video explains how to identify and combine like terms, and how to apply the distributive property to remove parentheses and simplify expressions. It also provides strategies for organizing expressions and handling negative terms. The tutorial concludes with more complex examples that integrate both techniques.

What is the result of combining the like terms in the expression 9x + 3x?

• 3x

• 12x

• 6x

• 9x

In the expression 8G + 5G + 7 + 2, which terms are considered like terms?

• 8G and 5G

• 5G and 2

• 7 and 2

• 8G and 7

How do you simplify the expression 6y^2 + 10y + 2y^2 + 3y + y?

• 8y^2 + 14y

• 6y^2 + 15y

• 8y^2 + 13y

• 7y^2 + 14y

What is the simplified form of the expression 4x^2 - 7 + 3x - 2x^2 + 3?

• 5x^2 + 3x - 4

• 2x^2 + 3x + 4

• 2x^2 + 3x - 4

• 4x^2 + 3x - 4

What does the distributive property allow you to do with expressions containing parentheses?

• Divide terms

• Remove parentheses

• Multiply terms

• Add terms

How would you simplify the expression 8(2n + 6) using the distributive property?

• 8n + 48

• 8n + 12

• 16n + 48

• 16n + 6

What is the result of distributing 7 in the expression 7(a - 9)?

• 7a + 9

• 7a - 63

• 7a + 63

• 7a - 9

In the expression 10(-5x - 4y), what is the simplified form after applying the distributive property?

• 50x + 40y

• 50x - 40y

• -50x - 40y

• -50x + 40y

How do you simplify the expression 4 + 2(n + 6) using both the distributive property and combining like terms?

• 2n + 12

• 4n + 12

• 2n + 10

• 2n + 16

What is the final simplified form of the expression 18x - 10(2x - 2y + 9) - 6x?

• -8x + 20y - 90

• 8x - 20y + 90

• -8x - 20y + 90

• 8x + 20y - 90