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Real-World Linear Equations
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Real-World Linear Equations
📚 Part 1: Addition and Subtraction Equations
Instructions: Write an equation for each problem and solve it.
1. Sarah has some stickers. Her friend gives her 12 more stickers. Now she has 27 stickers in total. How many stickers did Sarah start with?
2. A shop had 45 chocolates at the start of the day. After selling some chocolates, there are 18 left. How many chocolates were sold?
3. Tom saves $8 each week. After several weeks, he has saved $56. How many weeks has he been saving?
4. A cinema ticket costs $t. If Maya pays with a $20 note and receives $7 change, what is the cost of one ticket?
🔢 Part 2: Multiplication and Division Equations
5. A pack of pencils costs $p each. Four packs cost $36. Find the price per pack.
6. A recipe calls for 240g of flour to make 6 equal portions. How much flour is needed for each portion?
7. Jake runs the same distance each day. After 5 days, he has run a total of 15 kilometres. How far does he run each day?
8. A school orders textbooks that cost $24 each. The total bill comes to $312. How many textbooks did they order?
⚡ Part 3: Two-Step Linear Equations
Instructions: Write a two-step equation for each problem and solve it.
9. Emma buys 3 notebooks and pays a $2 delivery fee. Her total cost is $17. How much does each notebook cost?
10. A gym charges a monthly membership fee plus $5 for each fitness class attended. Last month, Alex attended 4 classes and paid $33 total. What is the monthly membership fee?
11. A taxi ride costs $3.50 for the initial fare plus $1.20 per kilometre. If Maria's taxi ride cost $14.90, how many kilometres did she travel?
12. A phone plan costs $25 per month plus $0.15 for each text message sent. If Josh's bill was $31.75, how many text messages did he send?
13. A plumber charges a $40 call-out fee plus $35 per hour for labour. If the total bill for a job was $145, how many hours did the plumber work?
🎯 Part 4: Challenge Problems
14. A temperature dropped by 8°C during the night. If the morning temperature was 5°C, what was the temperature before it dropped?
15. A group of friends equally shared the cost of a $84 dinner. If each person paid $12, how many friends were in the group?
16. Create Your Own: Write a real-world problem that can be solved using a two-step equation. Include the equation and solution.
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