Integers, Opposites, and Absolute Value
Which of the following would not be represented with a negative integer?
a. The plane descended 1,500 feet.
b. Sam withdrew $75 from her bank account.
c. Maya made a profit of $80 with her lemonade stand.
d. In Colorado, the time is 2 hours behind.
C --> Profit is positive
In Nome, Alaska, the average night time temperature in June is -9 degrees F. In Vladivostok, Russia, the average night time temperature is -12 degrees F. Which town has a colder night time temperature?
What is Vladivostok, Russia?
In which quadrant is the point (-1.3, 9.5)?
Quadrant 2
When reflecting a point over the y-axis, which coordinate in its order pair will change to the opposite sign?
What is the x coordinate?
Find the distance between (-2.5, -6.5) and (5.5, -6.5) on the coordinate plane?
What is 8 units?
Amber is climbing a tree and sitting on a branch. She drops her shoes to the ground. The height of the branch is represented by 0 feet and the location of the shoes after they land is -25 feet. How far did the shoes fall?
What is 25 feet?
A shark is swimming 15 meters below sea level and an octopus is swimming 32 meters below sea level. Use integers to write these locations and then an inequality to compare these.
What is -15 > -32?
How would the point (4, -2.5) be graphed on the coordinate plane?
a. Move 2.5 spaces to the left of the origin and up 4 units.
b. Move 4 spaces to the right of the origin and down 2.5 units.
c. Move 4 spaces to the left of the origin and down 2.5 units.
d. Move 4 spaces to the right of the origin and up 2.5 units.
What is B?
Point D is located at (-8.25, -5) and is reflected over the x-axis. What ordered pair shows the location of the reflected point?
What is (-8.25, 5)?
Point A is located at (-1, -3) and is 5 spaces from Point B. What would be the y coordinate for Point B for this to be true? (-1, ____)
What is (-1, 2) or (-1, -8)?
Josie's bank account currently shows a balance of -$150. How much money would she need to deposit into her bank account to raise the balance to $0?
What is $150?
Place the following integers in order from greatest to least:
-12, 2, -25, -14, 0, -3
What is 2, 0, -3, -12, -14, and -25?
Which statements are true about points in Quadrant 3? Select all that apply.
a. To plot a point in Quadrant 3, you move to the left of the origin and down from the x-axis.
b. A point in Quadrant 3 would be (-8, 5).
c. The points in Quadrant 3 are (-, - ).
d. If point (-1, 4) is reflected across the y-axis, the reflected point is in Quadrant 3.
What are A and C?
Point N is originally located at (3.5, -7) and its reflected point is (-3.5, -7). Is Point N reflected over the x or y axis?
What is the y axis?
In Juneau, Alaska, the daytime temperature in August is 50 degrees F. At night, the temperature drops to -4 degrees F. What is the total temperature change from day to night?
What is 54 degrees --> 50 + 4 = 54
Point A is on a number line halfway between -20 and -4. Point B is halfway between Point A and 0. What integer is represented by Point B?
What is -6?
Two runners slow down. Runner 1 decelerates at -5/8 feet per second and Runner 2 decelerates at -3/5 feet per second. Which runner slowed down more?
What is Runner 1?
A point located at (-5, 6) is moved down vertically by 8 units. What is the ordered pair for the location of the point after it has been moved?
What is (-5, -2)?
Which of the following statements are true regarding the reflection of Point E (1, -2.5)? Select all that apply.
a. The reflection of Point E across the x-axis would be E' (1, 2.5).
b. When this point is reflected across the y-axis, the x coordinate stays the same and the y coordinate becomes the opposite.
c. The reflection of Point E across the y-axis would be in quadrant 3.
d. When this point is reflected across the x-axis, the x coordinate stays the same and the y coordinate becomes the opposite.
e. Neither a reflection across the x or y axis would result in a reflected point in quadrant 2.
What are A, C, D, and E?
Which set of ordered pairs have a distance between them that is greater than 5 units?
a. (1.5, 4) and (1.5, -1)
b. (-7, 2.5) and (-7, 7)
c. (1, 2.25) and (1, 3.5)
d. (3, -2) and (-4, -2)
What are C and D?
Point M is located at -2.5. Point N is located 6 spaces to the right of Point M. Point R is opposite Point N on the number line. Where is Point R located?
What is -3.5?
Between which two numbers would -7/20 fall?
-0.92, -1/4, -2/5, -1.15, -9/10
Hint: Place these in order from least to greatest.
What is between -1/4 and -2/5?
A rectangle is formed with 4 points. The first 3 points of the rectangle are (-2.5, -4), (-2.5, 3), and (5,3). What is the ordered pair of the 4th point to form the rectangle?
What is (5, -4)?
Point K is originally located at (-1, 7.5). It is reflected over the y-axis and then again over the x-axis.
What ordered pair represents the second reflection of Point K?
What is (1, -7.5)?