Name Writing Algebraic Expressions 1. Eric worked a total of 35 hours this week. Write an expression that represents how much money Eiric carned this week. Let \( w \) represent how much he Eric carns per hour. 3. Julius earns \( \$ 12.50 \) per hour. His most current paycheck included earnings for \( h \) hours. His check also included a bonus of \( \$ 300 \). Write an expression reflecting how much Julius earned on his paycheck. 5. A website charges \( \$ 20 \) for a membership. For each membership, \( \$ 1 \) is donated to charity. Write an expression that represents how much money the website earned this month if \( x \) number of people signed up for a membership. 2. Tara ran a distance of 5.4 mites. It took Tara \( h \) hours to complete her run. Write an expression that represent Tara's rate of speed per hour. 4. Squeaky Clean Maid services charges each customer a \( \$ 50 \mathrm{fee} \) and \( \$ 15 \) dollars for each hour it takes to complete their job. Write an expression showing how much the cleaning service charges for each job. Let \( h \) equal the number of hours it takes to complete a job. 6. A rectangle has a length of 8 inches and a width of \( w \). Write an expression that represents the perimeter of the rectangle. 8. Molly is \( \boldsymbol{n} \) years old. Julie is 2 more than 3 times the age of Molly. Write an expression to represent Julie's age. per hour. Write an expression to represent how much Valerie earns per hour.

Sure! Let's go through each problem and write the corresponding algebraic expressions. --- ### **1. Eric's Earnings** **Problem:** Eric worked a total of 35 hours this week. Write an expression that represents how much money Eric earned this week. Let \( w \) represent how much he earns per hour. **Expression:** \[ \text{Total Earnings} = 35w \] --- ### **2. Tara's Rate of Speed** **Problem:** Tara ran a distance of 5.4 meters. It took Tara \( h \) hours to complete her run. Write an expression that represents Tara's rate of speed per hour. **Expression:** \[ \text{Rate of Speed} = \frac{5.4}{h} \] *(measured in meters per hour)* --- ### **3. Julius's Paycheck** **Problem:** Julius earns \$12.50 per hour. His most recent paycheck included earnings for \( h \) hours. His check also included a bonus of \$300. Write an expression reflecting how much Julius earned on his paycheck. **Expression:** \[ \text{Total Earnings} = 12.50h + 300 \] --- ### **4. Squeaky Clean Maid Services Charge** **Problem:** Squeaky Clean Maid Services charges each customer a \$50 fee and \$15 for each hour it takes to complete their job. Write an expression showing how much the cleaning service charges for each job. Let \( h \) equal the number of hours it takes to complete a job. **Expression:** \[ \text{Total Charge} = 50 + 15h \] --- ### **5. Website's Monthly Earnings** **Problem:** A website charges \$20 for a membership. For each membership, \$1 is donated to charity. Write an expression that represents how much money the website earned this month if \( x \) number of people signed up for a membership. **Expression:** \[ \text{Total Earnings} = 20x - 1x = 19x \] *Alternatively:* \[ \text{Total Earnings} = 19x \] --- ### **6. Perimeter of a Rectangle** **Problem:** A rectangle has a length of 8 inches and a width of \( w \). Write an expression that represents the perimeter of the rectangle. **Expression:** \[ \text{Perimeter} = 2(8) + 2w = 16 + 2w \] --- ### **8. Julie's Age** **Problem:** Molly is \( n \) years old. Julie is 2 more than 3 times the age of Molly. Write an expression to represent Julie's age. **Expression:** \[ \text{Julie's Age} = 3n + 2 \] --- If you have any more questions or need further clarification on any of these expressions, feel free to ask!