Change Over Time
A diver is at a depth of -60 feet. He ascends 25 feet. What is his new depth?
-35 feet
Which situation best represents 'below zero'?
A. A mountain that is 500 meters high
B. A temperature of 10°C
C. A cave that is 30 meters underground
D. A building with 3 floors
C. A cave that is 30 meters underground
In which quadrant is the point (3, 4)?
A. Quadrant I
B. Quadrant II
C. Quadrant III
D. Quadrant IV
A. Quadrant I
-4b = 30
b = -7.5
A balloon is floating above a lake, and a sunken canoe is below the surface of the lake. The balloon’s vertical position is 12 meters, and the canoe’s is -4.8 meters. The equation, 12 + d = -4.8.
What does d represent in this situation?
The difference in elevation, the distance between the balloon and the canoe
A remote-controlled car travels -10 meters per second. What is its position after 6 seconds?
-60 meters
Which statement is true about negative numbers?
A. They are always larger than positive numbers
B. They are always to the right of zero on a number line
C. They represent values less than zero
D. They cannot be used in real life
C. They represent values less than zero
A point is 4 units right and 2 units down from the origin. What are its coordinates?
A. (4, 2)
B. (−4, 2)
C. (4, −2)
D. (−4, −2)
C. (4, −2)
a + 6.5 = -3.2
-9.7
A balloon is floating above a lake, and a sunken canoe is below the surface of the lake. The balloon’s vertical position is 12 meters, and the canoe’s is -4.8 meters. The equation, 12 + d = -4.8.
What would d need to equal to make this true?
-16.8
-16.8 meters difference between the two
A company's stock price fell by $4.50 each day for 5 days. What was the total change in the stock price?
-$22.50
A diver is at −30 m and a fish is at −45 m. Which is true?
A. −30 m < −45 m
B. −30 m > −45 m
C. −30 m = −45 m
D. Cannot be determined
B. −30 m > −45 m
Draw a rectangle in the coordinate plane with the vertices (-2, 5), (3,5), (3,-1) and (-2,-1). What is the perimeter of the rectangle?
22 units
2 = -1/5c
c = -10
An elevator is descending at a rate of 2.5 feet per second. How long will it take the elevator to go down 20 feet?
20 - x = 2.5
x + 2.5 = -20
20 / -2.5 = x
-2.5x =-20
-2.5x =-20
A scientist is using a drone to explore a cave. Over a period of 6 seconds, the drone goes from 25 feet below the surface to 16 feet below the surface.
How fast is the drone moving upward?
Which number has the greatest absolute value?
A. −3
B. 4
C. −7
D. 2
C. −7
What is the reflection of (−2, 6) across the x-axis?
A. (2, 6)
B. (−2, −6)
C. (2, −6)
D. (−2, 6)
B. (−2, −6)
-3/4 * 2/3 + 1/10
-4/10 OR -2/5
Write an equation to represent the situation. Then solve for the unknown value.
The temperature has been dropping 2.5 degrees every hour, and the current temperature is -15 degrees. How many hours ago was the temperature 0 degrees?
-2.5h = -15
h=6
means the temperature was 0 degrees 6 hours ago
A scientist is using a drone to explore a cave. Over a period of 6 seconds, the drone goes from 25 feet below the surface to 16 feet below the surface.
At this rate, when will the drone be 5 feet above the ground?
14 seconds
Which statement is TRUE?
A. |−10| < |5|
B. |−10| = |10|
C. |5| < −10
D. |−5| = −5
B. |−10| = |10|
Which pair of points is farthest apart horizontally?
A. (1, 2) and (4, 2)
B. (−3, 5) and (3, 5)
C. (0, 1) and (2, 1)
D. (−1, 4) and (1, 4)
B. (−3, 5) and (3, 5)
Evaluate:
-11 - (3 * -2)2
-47
Write an equation to represent the situation. Then solve for the unknown value.
A hiker begins at sea level and descends 25 feet every minute. How long will it take to get to an elevation of -750 feet?
-25m = -750
m= 30
At this constant rate, it will take the hiker 30 minutes