Number Lines and Signs
True or False: $-12 > -2$.
False
This term refers to a number's distance from zero on a number line, and it is always positive.
Absolute Value
: Write an inequality to match this statement: "The temperature, t, is colder than -4?
T<-4
In an ordered pair like (5, -3), you always count along this axis first.
x axis
When you reflect a point over the x-axis, this coordinate stays exactly the same.
X axis
Fill in the blank with -4.5 ____ -4
<
Find the value of |-14|.
14
When graphing the inequality x > 5 on a number line, you put this type of circle on the 5.
open
A point located at (-4, -2) lies in this quadrant of the coordinate plane.
Quadrant 3
If you reflect the point (4, 7) over the y-axis, these are the new coordinates.
(-4, 7)
If you were plotting the numbers $-22$, $-25$, and $2$ on a number line from left to right, this number would be in the middle.
-22
A submarine is at -40 meters and a helicopter is at +35 meters. This vehicle has the greatest absolute value.
40
: Identify all the numbers in this set that are solutions to x > -2.5: \{-5, -3, -2, 0, 1\}.
What are -2, 0, 1?
This is the length of the line segment between point A(5, 6) and point B(5, -2)
8 units
If you reflect the point (-3, -8) over the x-axis, these are the new coordinates.
(-3,8)
Fill in the blank with <, >, or =: -15 ____ -15.0.
=
True or False: |-8| < |7|.
False
If you graph x < -1 on a number line, the arrow will point in this direction.
left
Give the coordinates of a point that lies exactly on the y-axis, 4 units below the origin
(0,-4)
Point M is at (-5, 2). It is reflected to become $M'$ at (5, 2). Name the axis it was reflected over.
Y Axis
Order these numbers from least to greatest: -3, 0, -3.5, 2.5.
-3,5, -3, 0, 2.5
Name two different numbers that both have an absolute value of 63.
63 and -63
Write a real-world scenario that could be represented by the inequality x > 0.
elevation or temperature
If you connect the points $(1, 1), (1, 4), (-3, 4), and (-3, 1) in order, you will create this specific geometric shape.
rectangle
A triangle has a vertex at (-2, 0). If you reflect this point over the x-axis, these are its new coordinates.
(-2, 0)? (Since 0 has no negative, it stays exactly where it is on the line!).