Integers and Absolute Value
Absolute Value
Lengths on a Coordinate Plane
Ordering Rational Numbers
Coordinate Plane Basics
Coordinate Plane
Reflections
1
Marcus's score in a game is 8 points away from zero. Olivia's score is the opposite of Marcus's and is negative. What is Olivia's score?
-8
1
True or False, and why?:
|a| > b
False: a is closer to zero, so it would still be closer as a positive.
1
How long is line segment FG?
F(-2, 4)
G(-2, -5)
9
1
Order from Least to Greatest:
-0.75, -1/4, 1/2
-0.75, -1/4, 1/2
1
In which quadrant is (-3, 4)?
Quadrant II
1
What is the ordered pair for point A?
(1/2, -1)
1
Reflect (3, 2) across the y-axis.
(-3, 2)
2
Jasmine's score in a trivia contest is 12 points away from zero. Ethan's score is the opposite of Jasmine's and is a positive value. What is Ethan's score?
12
2
True or False, and why?:
-|b| < b
True: The negative sign in front of the absolute value symbol would turn it into a negative. Since b is positive, the negative would always be less.
2
What is the perimeter?
A(-4,-3)
B(6,-3)
C(6,5)
D(-4,5)
36 units
2
Order from Least to Greatest:
1.75, -11/4, -1/2
-11/4, -1/2, 1.75
2
In which quadrant is (-2, -5)?
Quadrant III
2
What is the point in Quadrant III that is 11/2 units away from point A?
(-1, -1)
2
Reflect (-4, 5) across the x-axis.
(-4, -5)
3
Submarines were located at depths of 8 feet and 13 feet below sea level. Enter the integer that represents the depth closer to sea level.
-8
3
True or False, and why?:
|d| = d
True: d is positive, so its absolute value would also be positive.
3
What is the perimeter of the following polygon?
Q(-6,-4)
R(-6,2)
S(1,2)
T(1,6)
U(5,6)
V(5,-4)
42 units
3
Order from Least to Greatest:
-1.75, 11/2, -3/4, 0.75
-1.75, -3/4, 0.75, 11/2
3
What are the coordinates of a point located 4 units right and 3 units down from the origin?
(4, -3)
3
Point A is located at (1/2, -1).
Point B is located at (-1, -1).
Where would points C and D go to make a square?
C(-1, 1/2)
D(1/2, 1/2)
3
Reflect (2, -3) across both axes.
(-2, 3)
4
Markers were placed at altitudes of 6 feet below sea level and 2 feet below sea level. Enter the integer that represents the altitude closer to sea level.
-2
4
True or False, and why?:
|c| < |d|
False: c is farther from zero, so its absolute value would be positive and farther from zero, therefore greater.
4
What is the perimeter of the following polygon?
Q(-8,-3)
R(-8,4)
S(-2,4)
T(-2,8)
U(4,8)
V(4,-3)
46 units
4
Order from Least to Greatest:
-13/4, 1.5, -1/4, -0.75, 0.25
-13/4, -0.75, -1/4, 0.25, 1.5
4
The point (0, -8) lies on which axis?
y-axis
4
In decimal form, give the ordered pair of the point that is in Quadrant 3 and 4 units away from point A.
(-1.5, -0.5)
4
How do you know that (1, -2.25) and (-1, 2.25) are reflections across both axes?
Both the x-coordinate and the y-coordinate change to their opposites.
5
Which quadrant contains points with positive x-values and negative y-values?
Quadrant IV
5
Which are reflections across both axes?
A: (2.5, -3) and (-21/2, 3)
B: (-1.75, -4) and (1.75, 4)
C: (-31/2, -2) and (3.5, -2)
D: (-4.25, 9) and (4.25, -9)
A, B, D