Expanding Single Brackets

This video tutorial explains how to expand single brackets in algebra by multiplying each term inside the brackets by a multiplier. It covers various examples, including basic multiplication, handling variables, and negative numbers. The tutorial also provides practice questions for viewers to apply what they've learned.

What is the purpose of expanding brackets in algebra?

• To simplify expressions by removing brackets

• To add more brackets to an expression

• To change the variables in an expression

• To solve equations directly

When expanding the expression 5(6Y + 7), what is the result?

• 30Y + 7

• 5Y + 35

• 30Y + 35

• 30Y + 12

How should you handle a negative sign in the multiplier when expanding brackets?

• Ignore the negative sign

• Add the negative sign after multiplying

• Include the negative sign during multiplication or place it in the answer first

• Multiply only the first term by the negative sign

What happens when two negative numbers are multiplied together?

• The result is positive

• The result is undefined

• The result is zero

• The result is negative

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

• -3X - 12

• -3X + 12

• 3X - 12

• 3X + 12

If the multiplier is placed after the brackets, how does it affect the expansion?

• The terms inside the brackets are not multiplied

• The order of multiplication changes

• The multiplier is ignored

• The expansion process remains the same

What should you pay attention to when expanding expressions with multiple variables?

• Only the first variable

• The order of variables

• Each variable and its corresponding sign

• Ignore the variables