Integer Test Quiz: Math!

1) If the temperature in Fairbanks is -9°C, and the temperature in Thule is 5° warmer. What is the temperature in Thule?

4

14

-14

-4

If the temperature in Fairbanks is -9°C and Thule is 5°C warmer, we need to add 5 to -9. This gives us -4°C, which is the temperature in Thule.

Explanation

If the temperature in Fairbanks is -9°C and Thule is 5°C warmer, we need to add 5 to -9. This gives us -4°C, which is the temperature in Thule.

2) If it is 5º outside and the temperature will drop 17º in the next six hours, how cold will it get?

12

-12

22

-17

The initial temperature is 5 degrees. Since the temperature is dropping, we subtract the drop of 17 degrees from the initial temperature. This can be represented mathematically as 5 - 17 = -12. Therefore, the final temperature will be -12 degrees.

Explanation

The initial temperature is 5 degrees. Since the temperature is dropping, we subtract the drop of 17 degrees from the initial temperature. This can be represented mathematically as 5 - 17 = -12. Therefore, the final temperature will be -12 degrees.

3) Which number sentence represents the numberline below?

(-3) + 2 = -1

2 + (-3) = 0

(-2) + (-1) = -3

3 + (-2) = 1

The number sentence (-3) + 2 = -1 represents the number line below because when you start at -3 and move 2 units to the right, you end up at -1.

Explanation

The number sentence (-3) + 2 = -1 represents the number line below because when you start at -3 and move 2 units to the right, you end up at -1.

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5) An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now? _____

The elevator starts on the 20th floor. It goes down 11 floors, which means subtracting 11 from 20, resulting in 9. It then goes up 5 floors, which means adding 5 to 9, resulting in 14. Therefore, the elevator is on the 14th floor.

Explanation

The elevator starts on the 20th floor. It goes down 11 floors, which means subtracting 11 from 20, resulting in 9. It then goes up 5 floors, which means adding 5 to 9, resulting in 14. Therefore, the elevator is on the 14th floor.

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6) Which number sentence is explained by the model below?

6 x (-2) = 12

2 x (-6) = - 12

12 x 2 = 6

(-6) x (-2) = -12

The model shows multiplication equations using positive and negative numbers. The equation 2 x (-6) = -12 is explained by the model because it demonstrates multiplying a positive number (2) by a negative number (-6) to get a negative product (-12).

Explanation

The model shows multiplication equations using positive and negative numbers. The equation 2 x (-6) = -12 is explained by the model because it demonstrates multiplying a positive number (2) by a negative number (-6) to get a negative product (-12).

7) A scuba diver swam 96 feet beneath the surface of the lake. He then climbs up 49 feet. What is his depth now? _____

The scuba diver begins at a depth of 96 feet below the surface. When he ascends 49 feet, we subtract that distance from his initial depth. This calculation, 96 - 49, gives us 47. Therefore, the diver is now at a depth of 47 feet.

Explanation

The scuba diver begins at a depth of 96 feet below the surface. When he ascends 49 feet, we subtract that distance from his initial depth. This calculation, 96 - 49, gives us 47. Therefore, the diver is now at a depth of 47 feet.

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8) Which equation is explained by the following model?

15 ÷ 3 = 5

3 ÷ 15 = 5

15 ÷ 5 = 3

3 x 5 = 15

The model visually represents the concept of division. There are 15 objects in total, divided into 3 equal groups. Each group contains 5 objects. This illustrates the mathematical operation of dividing 15 by 3, resulting in 5. The equation 15 ÷ 3 = 5 accurately reflects this visual representation of division.

Explanation

The model visually represents the concept of division. There are 15 objects in total, divided into 3 equal groups. Each group contains 5 objects. This illustrates the mathematical operation of dividing 15 by 3, resulting in 5. The equation 15 ÷ 3 = 5 accurately reflects this visual representation of division.

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10) Use the model below to answer the question.

24

2

-2

-24

The pattern in the given sequence is that each number is multiplied by -1 to get the next number. Starting with 24, when we multiply it by -1, we get -24.

Explanation

The pattern in the given sequence is that each number is multiplied by -1 to get the next number. Starting with 24, when we multiply it by -1, we get -24.