P6 Math 7. Chapter 1 Quiz Sept 10 2015

1. True or False. |-3| < 3

True

False

The absolute value of -3 is equal to 3, which is not less than 3. Therefore, the statement |-3|

Explanation

The absolute value of -3 is equal to 3, which is not less than 3. Therefore, the statement |-3|

2. The freezing point is the temperature at which a liquid becomes a solid. The freezing point of butter is 35 degrees and the freezing point of the mercury is -39 degrees. Which is closer to the freezing point of water at 0 degrees. (All temperatures are in Centigrade).

Butter

Mercury

The freezing point of water is 0 degrees Celsius. Since the freezing point of butter is 35 degrees Celsius, it is closer to the freezing point of water compared to mercury, which has a freezing point of -39 degrees Celsius.

Explanation

The freezing point of water is 0 degrees Celsius. Since the freezing point of butter is 35 degrees Celsius, it is closer to the freezing point of water compared to mercury, which has a freezing point of -39 degrees Celsius.

3. True / False: Absolute Value is the distance between a number and 0 (zero) on the number line.

True

False

The statement is true because the absolute value of a number is the distance between that number and zero on the number line. It is always a positive value, regardless of whether the original number is positive or negative. For example, the absolute value of -5 is 5, as the distance between -5 and 0 is 5 units. Similarly, the absolute value of 5 is also 5, as the distance between 5 and 0 is also 5 units.

Explanation

The statement is true because the absolute value of a number is the distance between that number and zero on the number line. It is always a positive value, regardless of whether the original number is positive or negative. For example, the absolute value of -5 is 5, as the distance between -5 and 0 is 5 units. Similarly, the absolute value of 5 is also 5, as the distance between 5 and 0 is also 5 units.

4. -12 - (-27) is less than zero.

True

False

The expression -12 - (-27) is equivalent to -12 + 27, which equals 15. Since 15 is greater than zero, the statement " -12 - (-27) is less than zero" is false.

Explanation

The expression -12 - (-27) is equivalent to -12 + 27, which equals 15. Since 15 is greater than zero, the statement " -12 - (-27) is less than zero" is false.

5. Evaluate the expression. -5 - (-5)

0

-10

10

None of the above

The expression -5 - (-5) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive number. Therefore, -5 - (-5) becomes -5 + 5, which equals 0.

Explanation

The expression -5 - (-5) can be simplified by applying the rule of subtracting a negative number, which is equivalent to adding the positive number. Therefore, -5 - (-5) becomes -5 + 5, which equals 0.

6. Order the values from least to greatest. 1, |5|, 4, |-8|, -2

-2, 1, 4, |-8|, 5

|-8|, -2, 1, 4, |5|

-2, 1, 4, |5|, |-8|

1, |5|, 4 |-8|, -2

The given answer correctly orders the values from least to greatest. The first number is -2, which is the smallest value. Then, the next number is 1, followed by 4. The fourth number is |5|, which is equal to 5, and finally, the largest value is |-8|, which is equal to 8.

Explanation

The given answer correctly orders the values from least to greatest. The first number is -2, which is the smallest value. Then, the next number is 1, followed by 4. The fourth number is |5|, which is equal to 5, and finally, the largest value is |-8|, which is equal to 8.

7. A scuba diver dives down 20 feet in the ocean. Then she swims 11 feet back up towards the surface of the water. How many feet deep from the surface of water is the final position of the diver?

20 - - 11

-20 + 11

11 + 20

11 - - 20

not-available-via-ai

Explanation

not-available-via-ai

8. Evaluate the expression (simplify). -6 + (-11) - 2

19

3

7

-19

The given expression is -6 + (-11) - 2. To simplify this expression, we can start by adding the two negative numbers -6 and -11, which gives us -17. Then we subtract 2 from -17, resulting in -19. Therefore, the correct answer is -19.

Explanation

The given expression is -6 + (-11) - 2. To simplify this expression, we can start by adding the two negative numbers -6 and -11, which gives us -17. Then we subtract 2 from -17, resulting in -19. Therefore, the correct answer is -19.

9. Temperatures in the Gobi Desert reach -40 degrees(F) in the winter and 90 degrees (F) in the summer. Find the range of the temperatures. In this case, find the expression that results in correct range value as a positive number.

-40 - 90

90 - (-40)

-40 + 90

-40 - (-90)

The correct answer is 90 - (-40). This expression calculates the range of temperatures by subtracting the lowest temperature (-40) from the highest temperature (90), resulting in a positive number.

Explanation

The correct answer is 90 - (-40). This expression calculates the range of temperatures by subtracting the lowest temperature (-40) from the highest temperature (90), resulting in a positive number.

10. Evaluate the expression 4 - a - c when a = -2 c = 5

-3

11

1

-1

The expression 4 - a - c can be simplified by substituting the given values of a and c. So, 4 - (-2) - 5 becomes 4 + 2 - 5 which equals 1. Therefore, the correct answer is 1.

Explanation

The expression 4 - a - c can be simplified by substituting the given values of a and c. So, 4 - (-2) - 5 becomes 4 + 2 - 5 which equals 1. Therefore, the correct answer is 1.