Solving Word Problems With Integers

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

• (x-10)/4=2

• x-10/4=2

• x-10=2(4)

• 2(x-10)=4

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.

• -41

• -40

• -39

• -43

Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer. Write the equation.

• (x+2)+5(x) = -244

• 5(x+2) = -244

• 5x = -244

• 5(x+2)+x = -244

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

On a test, Avery lost 5 points for each of the 6 questions she got wrong but earned 10 points for answering the bonus question correctly. What integer represents her score if the maximum score was 100?

• 60

• 80

• 90

• 70

A company loses $780 as a result of a shipping delay. The six owners of the company must share the loss equally. Write an integer to show the profit for each owner.

• -$13

• $13

• -$130

• $130

The sum of two integers is -15. The product of the two integers is 54.  What are the two integers?

• -6 and -9

• -6 and 9

• 6 and 9

• 6 and -9

Riley has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

• $8

• $102

• -$8

• -$102

During a 12-hour period, the temperature dropped 48º F. What integer represents the change in temperature each hour?

• -576º F

• 4º F

• 576º F

• -4º F

472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

• 4 cabins

• 44 cabins

• 59 cabins

• 74 cabins