Algebra Scavenger Hunt

Name:

Date:

🔍 Part 1: Real-Life Algebra Puzzles

1. Shopping Problem: Sarah buys 3 identical notebooks and pays $2.50 for a pen. Her total cost is $17.00. What is the cost of each notebook?

Equation: ________________

Answer: Each notebook costs $______

2. Travel Time: A bus travels at a constant speed. It covers 120 kilometres in some time, and its speed is 15 km/h faster than a car that covers the same distance in 4 hours. What is the car's speed?

Equation: ________________

Answer: The car's speed is ______ km/h

3. Recipe Ratios: A recipe calls for flour and sugar in a 3:1 ratio. If the total amount of flour and sugar needed is 600 grams, how much flour is required?

Equation: ________________

Answer: ______ grams of flour

4. Temperature Problem: The temperature dropped by the same amount each hour for 5 hours. If it started at 18°C and ended at 3°C, by how many degrees did it drop each hour?

Equation: ________________

Answer: It dropped ______ °C each hour

💡 Part 2: Problem-Solving Strategies

5. Multi-step Challenge: A cinema charges $12 per adult ticket and $8 per child ticket. On Saturday, they sold twice as many child tickets as adult tickets and earned $320 in total. How many adult tickets were sold?

Hint: Let x = number of adult tickets, then 2x = number of child tickets

Equation: ________________

Answer: ______ adult tickets were sold

6. Money Problem: Jake has $5 and $10 notes totalling $85. He has 3 more $5 notes than $10 notes. How many of each type of note does he have?

Hint: Let y = number of $10 notes, then (y + 3) = number of $5 notes

Equation: ________________

Answer: ______ ten-dollar notes and ______ five-dollar notes