Questions: Write an algebraic expression for the phrase. 9 pounds more than half the weight w of a bag of rice in pounds 1/2 w+9

Solution Steps

To write an algebraic expression for the phrase "9 pounds more than half the weight \( w \) of a bag of rice in pounds," we need to break down the phrase into its mathematical components. "Half the weight \( w \)" translates to \( \frac{1}{2} w \). Adding 9 pounds to this gives us the expression \( \frac{1}{2} w + 9 \).

The phrase "9 pounds more than half the weight \( w \) of a bag of rice in pounds" can be translated into a mathematical expression.

"Half the weight \( w \)" is represented as \( \frac{1}{2} w \). Adding 9 pounds to this gives us the expression: \[ \frac{1}{2} w + 9 \]

Substitute \( w = 10 \) into the expression: \[ \frac{1}{2} \times 10 + 9 = 5 + 9 = 14 \]

Final Answer