Review Unit 4 Operations with Integers

Complete the equation to represent the following model. Write the correct answer in the spaces provided. Not all answers will be used.

• 4

• 2

• -2

• =

• -8

Dominique is trying to identify a number. She knows the following properties of the number: - The opposite of the unknown number is 5. - The absolute value of the unknown number is 5. What is the unknown number Janet is trying to identify?

• -1/5

• 1/5

• -5

• 5

Brady used integer chips to model and solve a problem. Which equation did he model?

• -7 + 4 = -3

• 7 + (-4) = 3

• 7 - 4 = 11

• 7 + (-4) = -11

The number line below models an integer problem. Which equation best represents the model?

• -3 + 7 = 10

• 7 + (-3) = 4

• 7 + (-10) = -3

• 10 + (-3) = 7

Look at the number line below. Which integer is the opposite of the value of point K?

• -3

• -2

• 3

• 2

On the Mega Win TV Game Show, Jamal must answer a challenge called The Math Puzzler to move on to the next round of the game. To solve the Math Puzzler, Jamal must identify a true statement about either Puzzle A or Puzzle B. This week’s Math Puzzler is shown below. Which true statement should Jamal choose if he wants to move on to the next round?

• The value represented in Puzzle B is 12, because the number line shows the action of multiplying -6 and -2.

• The value represented in Puzzle A is -4, because the number line shows the action of adding -4 and 8.

• The value represented in Puzzle B is -12, because the number line shows the action of multiplying 6 and 2.

• The value represented in Puzzle A is 8, because the number line shows the action of adding -4 and 12.

During a cold front in Dumas, TX, the daily low temperatures for a week were recorded in a table. To find the average of the temperatures, find the sum of the temperatures for all of the days, then divide by the total number of days in the week. What was the average low temperature for the week?

• -8° F

• -6° F

• 6° F

• 8° F

Which expression has a value of -6? Select TWO correct answers.

• -4 • 2 – (-14)

• -16 ÷ (-2) – (-2)

• -12 ÷ (-3) – 20 + 2

An expert diver is looking for a particular species of fish along the coastline. 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. If the surface of the water is considered 0 feet, what was the depth at which the diver finds the fish?

• -5 feet

• -19 feet

• -25 feet

• -47 feet

The coach recorded the yards gained or lost by his football team during the first four plays of a game. How many total yards did the team get in this set of plays?

• -3 yards

• -2 yards

• -1 yard

• 0 yards