Distributive Property and Simplifying Expressions

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 methods, offering a comprehensive understanding of simplifying algebraic expressions.

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

• 12x

• 6x

• 3x

• 9x

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

• 5G and 2

• 8G and 7

• 7 and 2

• 8G and 5G

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

• 6y^2 + 14y

• 8y^2 + 10y

• 6y^2 + 15y

• 8y^2 + 14y

What is the first step in using the distributive property for the expression 2(5 + 3)?

• Add 5 and 3

• Multiply 2 by 5

• Subtract 3 from 5

• Multiply 2 by 3

When using the distributive property, what does 8(2n + 6) simplify to?

• 2n + 48

• 16n + 6

• 8n + 48

• 16n + 48

How do you handle subtraction when using the distributive property in the expression 7(a - 9)?

• Multiply 7 by 9

• Multiply 7 by -9

• Subtract 7

• Add 9

What is the simplified form of 10(-5x - 4y) using the distributive property?

• -50x - 40y

• 50x + 40y

• 50x - 40y

• -50x + 40y

In the expression 4 + 2(n + 6), what should be done first according to the order of operations?

• Subtract 6 from n

• Add 4 and 2

• Distribute 2

• Add n and 6

What is the result of simplifying 6(3x + 5) - 9x?

• 18x + 30

• 9x + 5

• 9x + 30

• 18x + 5

How do you simplify the expression 18x - 10(2x - 2y + 9) - 6x?

• -8x + 20y - 90

• 8x - 20y + 90

• -8x - 20y + 90

• 8x + 20y - 90