Modeling Integer Operations
+ and - Integers
x and / Integers
Fraction Operations
Decimal Operations
100

What number sentence is modeled below?


What is 5 - 2?

100

A team of four players competed in a golf contest. The names and scores of the players on the team are shown in the table. The team’s score is the sum of all the scores in the table.

What is the team's score?

What is -4?

100
14.1 + 33.9
48
100

Mark is having a birthday party. He bought 8 pizzas to be shared equally among 40 people. Which two equivalent representations could be used to determine how much pizza each guest will receive? 

Write it as a division problem and a fraction

What is 8

div

 40 and 

40 / 8?

100

Katie purchases specialized dog food for her dog Maxx.  It cost $39.25 per bag.  If Katie spent a total of $102.05, how much more did Kate spend on the rest of her groceries?

What is ^462.80?

200

What number sentence is modeled by the picture below?


What is 5 x (-2) = -10?

200

One morning the outside temperature was 14 °F below zero. By noon the outside temperature had risen 18°. By midnight the outside temperature had dropped 6°.

What was the outside temperature at midnight in degrees Fahrenheit?

What is -2?

200
135.37 - 28.17
107.2
200

Rewrite the expression as a multiplication problem.

What is  

3/5 times 9/7

?

200

A grocery store sells steak for $6.10 per pound. What would the cost of 2.5 lbsof steak?

What is $15.25?

300

Brady used integer chips to model and solve a problem.

What equation did he model?

What is 7 + (-4) = 3?

300

Brand 1 of antifreeze claims that it can withstand temperatures of -62°C. Brand 2 of antifreeze claims that it can withstand temperatures 5°C below those of Brand 1. Which of the following expressions represents the temperatures Brand 2 can withstand?

What is -62 + (-5) = -67 or what is -62 - 5 = -67

300
75.053 + 27.96
103.013
300

A recipe for cookies requires

2/3

cup of butter. Rama wants to make

3/4

 of the recipe. How many cups of butter should Rama use to make the cookies?

What is

1/2

 ?

300

Clara wants to run a total of 7.5 miles. Each lap around the track is 0.25 miles. How many laps around the track does Clara need to run to complete 7.5 miles?

What is 30 laps?

400

The number line below models an integer problem.

What equation best represents the model?

What is 7 + (-10)?

400

The coach recorded the yards gained or lost by his football team during the first four plays of a game.

  • First play: –6 yards
  • Second play: 7 yards
  • Third play: –15 yards
  • Fourth play: 11 yards

How many total yards did the team get in this set of plays?

What is -3 yards?

400

A teacher wrote this expression on the board.

(-6)(2) + (-8 ÷ 4)

What is the value of this expression?

What is -14?

400

The directions for planting the vegetable seeds Marvin bought state that each seed must be placed a distance of 18 inches apart.  Marvin's garden is 30 feet long. According to the directions, how many seeds can be planted along one length of Marvin's garden?

What is 20 seeds?

400

Sarah purchased $43.11 worth of coffee that sold for $23.95 per pound. How many pounds of coffee did Sarah buy?

What is 1.8 pounds?

500

Marc and Liza are practicing addition of integers using playing cards. Black cards represent positive numbers, and red cards represent negative numbers. What is the sum of the cards shown below?


What is 4?

500

An expert diver is looking for a particular species of fish along the coast line. He dives 22 feet below the surface of the ocean. Then he dives down 7 more feet. He swims back up 14 feet and down another 4 feet before he finds the species of fish he is looking for. What was the depth at which the diver found the fish?

What is -19 feet?

500

Madison records the average low temperature at the North Pole for six months in a table.



To find the average temperature of the North Pole over the six months, she finds the sum of all the months and divides by the total number of months.  What is the average temperature at the North Pole during the six months?

What is -14?

500

Alfred and his 4 friends bought

13 1/4

 pounds of gummy bears at $1.20 a pound. If the cost of the gummy bears is divided evenly among Alfred and his four friends, how much will each person pay?

What is $3.18?

500

A pharmacist put 4.536 ounces of vitamin pills into bottles. She put 0.042 ounce of vitamin pills into each bottle.

How many bottles did the pharmacist use for these vitamin pills?

What is 108 bottles?