Expanding and Simplifying Expressions

This video tutorial covers the process of expanding and simplifying sets of brackets in algebra. It begins with an introduction to the topic, followed by three detailed examples that demonstrate how to handle different scenarios, including positive and negative numbers. The video also provides practice problems for viewers to try on their own, with solutions explained. The tutorial concludes with suggestions for further learning, such as exploring double and triple brackets.

What is the result of expanding the expression 3(2X + 5)?

• 2X + 15

• 3X + 5

• 5X + 10

• 6X + 15

When expanding 5(X - 2), what is the correct expression?

• 5X - 2

• 5X + 2

• 5X - 10

• 5X + 10

How do you simplify the expression 6X + 5X?

• 11X

• 12X

• 9X

• 10X

What is the result of expanding -2(X + 5)?

• 2X - 10

• 2X + 10

• -2X - 10

• -2X + 10

In the expression 3(2X - 4), what is the expanded form?

• 6X + 8

• 6X - 8

• 6X + 12

• 6X - 12

What is the simplified form of 6X - 2X?

• 4X

• 3X

• 5X

• 8X

How do you expand 4(X - 3)?

• 4X - 12

• 4X + 12

• 4X + 3

• 4X - 3

What is the result of expanding -3(2 - X)?

• 6 + 3X

• 6 - 3X

• -6 - 3X

• -6 + 3X

What is the simplified form of 9X + 3X?

• 13X

• 10X

• 11X

• 12X

What is the expanded form of 2(3X + 4)?

• 5X + 8

• 6X - 8

• 5X - 8

• 6X + 8