Questions: Express the following English phrase using an algebraic expression. Two less than five times a number y. "Two less than five times a number y " written mathematically is 5y - 2.
Transcript text: Express the following English phrase using an algebraic expression.
Two less than five times a number $y$.
"Two less than five times a number $y$ " written mathematically is $\square$ $\square$.
Solution
Solution Steps
Step 1: Identify the key components of the phrase
The phrase "Two less than five times a number \( y \)" contains the following key components:
"Five times a number \( y \)" translates to \( 5y \).
"Two less than" indicates subtraction of 2 from the previous expression.
Step 2: Translate the phrase into an algebraic expression
Combine the components identified in Step 1:
Start with \( 5y \).
Subtract 2 from \( 5y \), resulting in \( 5y - 2 \).
Step 3: Write the final algebraic expression
The phrase "Two less than five times a number \( y \)" is written mathematically as:
\[
5y - 2
\]