Intro to Integers

What is the difference between the absolute value of 4 and the absolute value of –3?

• 1

• 4

• 7

• -7

Bernita and Derek each plot a number on a number line. The numbers are unique but have the same absolute value. The sum of the absolute values of the numbers is 150. What are the two numbers?

• 0 and 150

• -75 and 75

• -150 and 150

• 100 and 50

Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier’s number?

• The possible values are less than 4.

• The possible values are less than –4.

• The possible values are less than 4 but greater than –4.

• The possible values are either greater than 4 or less than –4.

Which situation is best represented using a negative integer?

• a deposit of $35 into a bank account

• the temperature decreasing by 18º

• an additional 5 gallons of gas being put into a car

• a student reading today for 20 minutes longer than yesterday

Ingrid spends $120 on car repairs. Which integer represents the amount of money Ingrid must earn in order to create a zero pair?

• -240

• -120

• 240

• 120

Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?

• -40

• -20

• 20

• 40

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?

• 14

• 6

• -7

• 7

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?

• -12

• -1

• 5

• 7

Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?

• 7

• -10

• -13

• 13

What is the absolute value of -9?______