Go through the Math in Focus Grade 6 Workbook Answer Key Chapter 2 Review Test to finish your assignments.
Math in Focus Grade 6 Course 1 A Chapter 2 Review Test Answer Key
Concepts and Skills
Write the opposite of each number.
Question 1.
-47
Answer:
The opposite number of -47 is 47.
Question 2.
56
Answer:
The opposite number of 56 is -56.
Question 3.
-78
Answer:
The opposite number of -78 is 78.
Draw a horizontal number line to represent each set of numbers.
Question 4.
-41, -37, -34, -30, -28, -25, -22
Answer:
The given numbers -41, -37, -34, -30, -28, -25, -22 are represented in the above horizontal number line. On a horizontal number line, the numbers become greater as you move to the right, and less as you move to the left.
Question 5.
-133, -129, -126, -122, -119
Answer:
The given numbers -133, -129, -126, -122, -119 are represented in the above horizontal number line. On a horizontal number line, the numbers become greater as you move to the right, and less as you move to the left.
Draw a vertical number line to represent each set of numbers.
Question 6.
-8, -6, -2, 1, 3, 4
Answer:
The given numbers -8, -6, -2, 1, 3, 4 are represented in the above vertical number line. On a vertical number line, the numbers become greater as you move up, and lesser as you move down.
Question 7.
Odd numbers greater than -40 but less than -28.
Answer:
Odd numbers greater than -40 but less than -28 are -39, -37, -35, -33, -31, -29.
The odd numbers greater than -40 but less than -28 are -39, -37, -35, -33, -31, -29 are represented in the above vertical number line. On a vertical number line, the numbers become greater as you move up, and lesser as you move down.
Write a positive or negative number to represent each situation.
Question 8.
A deposit of $94
Answer:
$94
Explanation:
The given situation is a deposit of $94. The situation is represented with positive number $94.
Question 9.
181°F below zero.
Answer:
-181°F
Explanation:
The given situation is 181°F below zero. Below represents negative number and above represents positive number. So the situation is represented with negative number -181°F.
Question 10.
The plane’s altitude is 23,920 feet
Answer:
23,920 feet
Explanation:
The given situation is the plane’s altitude is 23,920 feet. The situation is represented with positive number 23,920 feet.
Question 11.
The elevation of a sunken ship that is 11 meters beneath the ocean’s surface
Answer:
-11 meters
Explanation:
The given situation is the elevation of a sunken ship that is 11 meters beneath the ocean’s surface. Here the word beneath represents negative sign. So the situation is represented with negative number -11 meters.
Question 12.
A gain of 35 yards
Answer:
35 yards
Explanation:
The given situation is a gain of 35 yards. The word gain represents a positive sign. The situation is represented with positive number 35 yards.
Copy and complete each Inequality using > or <.
Question 13.
-14 
-18
Answer:
-14 
-18
Explanation:
The given numbers are -14 and -18. Here we have to compare both the numbers. By comparing the above given numbers the number -14 is greater than -18.
Question 14.
17 -11
Answer:
17 
-11
Explanation:
The given numbers are 17 and -11. Here we have to compare both the numbers. By comparing the above given numbers the number 17 is greater than -11.
Question 15.
-34 23
Answer:
-34 
23
Explanation:
The given numbers are -34 and 23. Here we have to compare both the numbers. By comparing the above given numbers the number -34 is less than 23.
Question 16.
-157 -145
Answer:
-157 
-145
Explanation:
The given numbers are -157 and -145. Here we have to compare both the numbers. By comparing the above given numbers the number -157 is less than -145.
Order the numbers in each set.
Question 17.
Order the numbers from greatest to least:
15, -14, 7, 2, -5, -6, -9
Answer:
The number from greatest to least: 15, 7, 2, -5, -6, -9, -14.
Question 18.
Order the numbers from least to greatest: 112, -140, -50, 51, -122, 175, -182
Answer:
The numbers from least to greatest: -182, -140, -122, -50, 51, 112, 175.
Write an Inequality for each of the following statements using > or <.
Question 19.
-112°C is warmer than -143°C.
Answer:
-112°C > -143°C
Explanation:
The given situation is -112°C is warmer than -143°C. Here we have to compare both the temperatures. After comparing the temperatures -112°C is greater than -143°C.
Question 20.
The lowest recorded temperature yesterday was -4°C, which is colder than today’s lowest recorded temperature of 4°C.
Answer:
-4°C < 4°C
Explanation:
After comparing the above given temperatures and situation -4°C is less than 4°C.
Write the absolute value of each number.
Question 21.
|79|
Answer:
The absolute value of the number |79| is 79.
Question 22.
|-88|
Answer:
The absolute value of the number |-88| is 88.
Question 23.
|-102|
Answer:
The absolute value of the number |-102| is 102.
Copy and complete each inequality using > or <.
Question 24.
|-65| |-57|
Answer:
|-65|
|-57|
Explanation:
The absolute value of the number |-65| is 65.
The absolute value of the number |-57| is 57.
So, the number |-65| is greater than |-57|.
Question 25.
|111| |-124|
Answer:
|111| 
|-124|
Explanation:
The absolute value of the number |111| is 111.
The absolute value of the number |-124| is 124.
So, the number |111| is less than |-124|.
Question 26.
|-153| |135|
Answer:
|-153| 
|135|
Explanation:
The absolute value of the number |-153| is 153.
The absolute value of the number |135| is 135.
So, the number |-153| is greater than |135|.
Question 27.
|-209| |-278|
Answer:
|-209| 
|-278|
Explanation:
The absolute value of the number |-209| is 209.
The absolute value of the number |-278| is 278.
So, the number |-209| is less than |-278|.
Problem Solving
Answer the questions.
Question 28.
The Afar Depression is a land formation in Africa. At one location in the Afar Depression, the elevation is -75 meters. At another location, the elevation is -125 meters. Write an inequality to compare the elevations. Which elevation is farther from sea level?
Answer:
-75 meters > -125 meters
The elevation -125 meters is farther from sea level.
Explanation:
At one location in the Afar Depression, the elevation is -75 meters.
At another location, the elevation is -125 meters.
After comparing the above elevations -75 meters is greater than -125 meters.
Question 29.
The table shows temperature readings taken at the same location at three different times.
a) At what time was the location the coldest?
Answer:
At 12:30 A.M. the location is coldest.
b) Between 12:30 A.M. and 8:30 A.M., the temperature was always rising. Between what two times shown in the table did the temperature reach 0°C?
Answer:
Between 4:30 A.M. and 8:30 A.M. the temperature reaches to 0°C as we can observe in the above table.
Question 30.
Clarence owes his brother Joe $240, and his best friend Tristan $166. His sister Chloe owes Clarence $275, and his friend Luke owes Clarence $150.
a) Clarence writes the number -240 to represent the amount he owes his brother Joe. What numbers should Clarence use to represent the other amounts given above?
Answer:
-166 to represent the amount Clarence owes to his best friend Tristan.
275 to represent the amount Chloe owes to Clarence.
150 to represent the amount Luke owes to Clarence.
b) Who owes the most money?
Answer:
Clarence owes the most money($240 + $166 = $406).
c) How much does Clarence owe in total?
Answer:
Clarence owes $406 in total.
d) Which is greater, the amount of money Clarence owes, or the amount of money that people owe him?
Answer:
The amount of money that people owe to Clarence is greater.
Explanation:
The total amount that people owes to Clarence is $275 + $150 = $475
The total amount that Clarence owes to others is $240 + $166 = $406