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# Writing equations to represent mathematical situations

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1. Writing equations to represent mathematical situations

2. EQ How do you write equations that correspond to given situations or represent a given mathematical relationships?

3. Writing equations to represent mathematical situations The list below shows the items Seth bought at a grocery store. • 1 gallon of milk for \$3.88 • 1 loaf of bread for \$1.99 • 1 dozen eggs for \$1.59 He paid for these items with a \$10 bill. Which equation could be used to find c, the total amount of change, in dollars, Seth should receive? C – 10 = (3.88 x 1.99 x 1.59) C = 10 + (3.88 + 1.99 + 1.59) C = 10 – 3.88 + 1.99 + 1.59 C = 10 – (3.88 + 1.99 + 1.59)

4. Writing equations to represent mathematical situations The table below shows the number of pumpkins sold at a pumpkin patch: • A total of \$1,050 was made on the sales of large and small pumpkins. Which equation could be used to find y, the number of small pumpkins that were sold? • 5y + 8(100)=1,050 C) 5y +1,050= 8(100) • 5y 8(100) +1,050 D) 5y + (8 +100)=1,050

5. Writing equations to represent mathematical situations The list below shows the amount of time it will take Tammy to do each of her chores. • Rake the leaves (20 minutes) • Clean her room (40 minutes) • Do the laundry (40 minutes) • Do her homework (40 minutes) Which equation could be used to find m, the total number of minutes it will take Tammy to do all the chores on her list? m=(40 + 3)×20 C) m=(40 + 3)+20 m=(40 × 3)×20 D) m=(40 × 3)+20

6. Writing equations to represent mathematical situations The librarian had 64 books to deliver to teachers.She delivered 7 of the books and then divided the rest of the books equally into 3 boxes. Which equation could be used to find n, the total number of books she put into each box? n=64−(7 × 3) C) n=64 +(7 × 3) n=(64− 7)÷3 D) n=(64 + 7)÷3

7. Writing equations to represent mathematical situations Ms. Hollis spent \$10 on food each day for 5 days. During this time period, she also spent a total of \$61 on fuel for her car and \$85 to pay her electricity bill. Which equation could be used to determine t, the total amount of money, in dollars, Ms. Hollis spent during this time period? t =5×(10×61) + 85 C) t =5×(10 + 61+ 85) t =5×(10 + 61) + 85 D) t =5×10 + (61+ 85)

8. Writing equations to represent mathematical situations Mr. Orland earns \$16 for each wooden sign that he makes and \$20 for each vinyl banner that he makes. Yesterday, he made 5 wooden signs and 2 vinyl banners. Which equation can be used to determine m, the total amount of money, in dollars, Mr. Orland earned from the signs and vinyl banners he made yesterday? m =(16 + 20)×(2 + 5) C) m =(16×5) + (20×2) m =(16×20) + (2×5) D) m =(16 + 5)×(20 + 2)

9. Writing equations to represent mathematical situations A farmer sold cotton to two companies for \$1.87 per pound. The farmer sold 500 pounds to Company A and 750 pounds to Company B. Which equation can be used to determine d, the total amount, in dollars, of the cotton sold to these two companies? d =(500×750) +1.87 d =(500 + 750)×1.87 d =(500 +1.87)×(750×1.87) d =(500 + 750) + (500×1.87)

10. Writing equations to represent mathematical situations“TICKET OUT” Jenny recently bought a new iPhone through AT&T. She had to pay a new customer fee of \$120. She also had to pay \$58 each month. So far, she has spent a total of \$352. Which equation could be used to determine the number of months m, Jenny has had her iPhone? 352 = 120m + 58 C) 58m – 120 = 352 58m + 120 = 352 D) 120 = 58m + 352

11. Writing equations to represent mathematical situations Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of the week she tells her mom, I walked Pepper for 30 miles this week! How long is her morning walk?