Absolute Value & Opposites
What is the opposite of the opposite of -12?
-12
True or False: −3 > −7
True
What quadrant is the point (−6, 2) in?
Quadrant II
A scuba diver is at −20 feet. She dives 15 more feet. What’s her new depth?
-35 feet
True or False: |−2| < |−5|
True
Solve: |−4| + |7| − |−3|
8
Plot and compare: Is −2 closer to 0 than −5 on a number line?
Yes, −2 is closer to 0
Which point is farther from the origin: (0, 4) or (−5, 0)?
(-5, 0)
The temperature rose from −5°F to 3°F. What’s the total change?
8°F
The sum of a number and its opposite is always:
0
Which has the greater absolute value: −18 or 12?
−18 (Absolute value is 18)
Solve and graph: x < −4 on a number line
Any number less than −4 (open circle at −4, arrow left)
Determine a point that has the same x-coordinate as (−3, 5) but lies in Quadrant III.
(-3, -2) or any with x = −3 and y < 0
A bank account shows −$48. You deposit $75. What’s the new balance?
$27
Which is farther from zero: −13 or 11?
-13
A number and its opposite have the same absolute value. Give an example of such a pair.
Any pair like 6 and −6
Which value makes the inequality true: x + 3 > −2?
x > −5, so any number greater than −5 (e.g., −4)
Two points lie on the same vertical line. One is (−2, 5). What could the other be?
Any point with x = −2 (e.g., (−2, −3))
A jet is flying at 30,000 ft. A drone is flying at −500 ft. What is the vertical distance between them?
30,500 ft
If |x| > 9, name a possible integer solution.
x = 10 or x = −10
If |x| = 11 and x < 0, what is the value of x?
x = -11
If |x| < 6, what values can x be?
−6 < x < 6
A point is 5 units to the right and 4 units down from the origin. What are its coordinates?
(5, −4)
If a mountain peak is 4,000 ft above sea level and a cave is 2,500 ft below, what is the total elevation difference?
6,500 ft
A number is 6 units from 0. What are the two possible numbers?
6 and −6