writing equations to represent mathematical situations

Writing equations to represent mathematical

situations

EQ

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


situationsThe 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?

A) C – 10 = (3.88 x 1.99 x 1.59)B) C = 10 + (3.88 + 1.99 + 1.59)C) C = 10 – 3.88 + 1.99 + 1.59D) C = 10 – (3.88 + 1.99 + 1.59)


situationsThe table below shows the number of pumpkins sold at a pumpkin patch:

Size Number of pumpkins Price

Large 100 $8

Small y $5

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?

A) 5y + 8(100)=1,050 C) 5y +1,050= 8(100)B) 5y 8(100) +1,050 D) 5y + (8 +100)=1,050


situationsThe 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?

A) m=(40 + 3)×20 C) m=(40 + 3)+20

B) m=(40 × 3)×20 D) m=(40 × 3)+20


situationsThe 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?

A) n=64−(7 × 3) C) n=64 +(7 × 3)

B) n=(64− 7)÷3 D) n=(64 + 7)÷3


situationsMs. 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?

A) t =5×(10×61) + 85 C) t =5×(10 + 61+ 85)

B) t =5×(10 + 61) + 85 D) t =5×10 + (61+ 85)


situationsMr. 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?

A) m =(16 + 20)×(2 + 5) C) m =(16×5) + (20×2)

B) m =(16×20) + (2×5) D) m =(16 + 5)×(20 + 2)


situationsA 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?

A) d =(500×750) +1.87B) d =(500 + 750)×1.87C) d =(500 +1.87)×(750×1.87)D) d =(500 + 750) + (500×1.87)


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?

A) 352 = 120m + 58 C) 58m – 120 = 352

B) 58m + 120 = 352 D) 120 = 58m + 352


situationsSierra 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?

writing equations to represent mathematical situations

Documents