Understanding Expressions and Their Meanings

The video tutorial explains how to convert phrases into algebraic expressions using the variable X. It covers two examples: 'a number decreased by eight' and 'four decreased by a number'. The first example translates to the expression X - 8, while the second translates to 4 - X. The tutorial also provides alternative phrases for these expressions, such as '8 less than X' and 'X less than four'.

What is the algebraic expression for a number reduced by eight?

• 8 + X

• 8 - X

• X - 8

• X + 8

Which of the following phrases can be used to describe the expression X - 8?

• 8 more than X

• 8 less than X

• X more than 8

• X plus 8

If X represents a number, what does the expression X - 8 signify?

• A number increased by eight

• A number multiplied by eight

• Eight less than a number

• Eight more than a number

How would you express 'four decreased by a number' using an algebraic expression?

• X + 4

• X - 4

• 4 - X

• 4 + X

What is another way to phrase the expression 4 - X?

• Four less than X

• X less than four

• Four more than X

• X more than four

Which expression correctly represents 'four decreased by X'?

• X + 4

• 4 + X

• 4 - X

• X - 4