Opposites and Absolute Value
A scuba diver began at sea level and descended until reaching a small reef. Her location can be represented by –45 feet. How many feet did the scuba diver travel?
a)90
b)45
c)-45
d)-90
e) none of the above
b) 45
Order this set of rational numbers from least to greatest
-43/100,51/315,-98/100
-98/100,-43/100,51/315
determine in which quadrant it lies
(3, 8)
Quadrant I
Reflect across the x-axis:
The point A(3,5) is reflected across the x-axis.
What are the coordinates of the reflected point A′?
Reflected point: A′=(3,−5)
Find the Value of -[-(-71)]
-71
Order the following four rational numbers from least to greatest:
A=−5/8, B=−0.62, C=3/5, D=0.58
A,B,D,C
Identify the axis on which the point (2,0) is located.
x-axis
Luis places a point on a map at the coordinates (2,5). He reflects the point across the y-axis.
Question: What are the coordinates of the new point?
(-2,5)
Identify if you need to find the horizontal or vertical distance between R(-1,0.5) and S(-1,3.5) then find it
the Vertical distance is 3
Determine if the following statement is true or false
The absolute value of a negative integer is always a negative integer
False
Determine whether the following statement is always, sometimes or never true if x and y are both less than 0 and x is less than y, then -x is more than -y
Always true
determine in which quadrant it lies
(-3.215,-1452,35)
Quadrant III
A point F(x,y)=(−7,4) is reflected first across the x-axis, and then the result is reflected across the y-axis.
What are the coordinates of the final image F′′
Answer: F′′=(7,−4)
In Chicago, the lowest recorded temperature was -27°F and the highest was 105°F.
In Phoenix, the lowest was 10°F and the highest was 115°F.
In Denver, the lowest was -20°F and the highest was 102°F.
Which city had the greatest change in record temperature?
Chicago :132 °F
In science class, students are measuring how much their plants grew compared to last year’s tallest plant.
Max's plant shrank by 2 and ½ inches.
Lila’s plant grew by 1/3 foot.
Omar’s plant grew by 2.5 inches.
Zoe’s plant shrank by 1/4 foot.
Order the changes in height from least to greatest. Show how you solved.
Zoe, Max, Omar, Lila
"If two points lie on the same vertical line in the coordinate plane, they must have the same y-coordinate." True or false
False
Lina is creating a pattern on a coordinate grid. She starts with the point Q(4,−1) and performs the following sequence of transformations:
First, she reflects the point across the y-axis.
Then, she reflects the result across the line y=x
Finally, she reflects the new point across the x-axis.
Question:
What are the coordinates of the point after all three reflections?
(−1,4)
Identify if you need to find the horizontal or vertical distance between R(-1/2,-8 1/4) and S(1/2,-8 1/4) then find it
Horizontal distance:1
Statement:
Every whole number is a rational number, but not every rational number is a whole number.
True or False
True
Word Problem (More Challenging):
A point P(x,y)is such that:
The x-coordinate is a negative number whose absolute value is greater than 2 but less than 6.
The y coordinate is a positive number greater than or equal to 1 but less than 4.
Question:
In which quadrant of the coordinate plane must the point P lie?
Quadrant II
Trey is drawing a map of his summer camp. He plots the point D(−4.5,4.5) to represent the dining hall.
The flagpole is located at point D′, which is the reflection of point D across the y-axis.
The campfire is located at point D′′, which is the reflection of point D′ across the x-axis.
Question: What are the coordinates of the campfire?
(4.5,−4.5)