Match each verbal phrase with its correct algebraic expression translation.

Four more than a number $y$ $y + 4$
Four less than a number $y$ $y - 4$
The product of four and a number $y$ $4y$
The quotient of a number $y$ and four $\frac{y}{4}$

Answer

The phrases correctly match with their algebraic translations based on the operational keywords: 'more than' maps to addition (

y + 4

), 'less than' maps to subtraction (

y - 4

), 'product' maps to multiplication (

4y

), and 'quotient' maps to division (

\frac{y}{4}

Matching each phrase requires identifying the key operation word: 'more than' for addition, 'less than' for subtraction (with reversed order), 'product' for multiplication, and 'quotient' for division. Applying these directly to the variable

y

and the number 4 yields the correct algebraic expressions.

Step-by-Step Solution

Translate 'Four more than a number

y

y + 4

The words 'more than' specify adding to the given variable.

Translate 'Four less than a number

y

y - 4

The words 'less than' specify subtracting from the given variable.

Translate 'The product of four and a number

y

4y

The word 'product' specifies multiplying the values.

Translate 'The quotient of a number

y

and four'.

\frac{y}{4}

The word 'quotient' specifies dividing the first value by the second value.

Key Concept

Translating basic arithmetic operation keywords into their corresponding algebraic symbols.

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