Adding and Subtracting Integers
The temperature was -12°F at midnight. By noon, it had risen 25°F. What was the temperature at noon?
13°F
Plot point A at (4, -3). In which quadrant is it located?
Quadrant IV
A diver descends 3.5 meters, then rises 1.25 meters, then descends 2.75 meters. What is the final position?
−5 meters
A point moves from (2, −3) to (2, 5), then reflects across the y-axis. What is the final coordinate?
(−2, 5)
A scuba diver is at -35 feet. She descends 18 more feet, then ascends 27 feet. What is her final position?
-26 feet
A park has a playground at coordinates (-6, 5) and a fountain at (2, 5).
8 units
What quadrant is the point (−4, 5) located in?
Quadrant II
A number line shows a move from −6 to 4. What is the distance traveled?
10 units
A football team's plays result in these yardages: gain 15, loss 8, gain 22, loss 12, gain 6. What is their total net yardage?
23 yards
Point M is at (3, -7). It is reflected across the x-axis to create point M'. What are the coordinates of M'?
(3, 7)
Plot A(3, −2) and B(3, 5). What is the distance between them?
7 units
A rectangle has one corner at (−2, 3) and the opposite corner at (4, 3). What is the length?
6 units
On Monday, a stock opened at 45. It changed by −3 on Monday, +6 on Tuesday, −8 on Wednesday, and +4 on Thursday. What was the closing price on Thursday?
44
A rectangle has vertices at A(-4, 2), B(3, 2), C(3, -3), and D(-4, -3). What is the perimeter and area of the rectangle?
Perimeter: 24 units
Area: 35 square units
What are the coordinates of a point reflected across the y-axis from (−6, −3)?
(6, -3)
A student graphs a point (x, y). After reflecting across both axes, the point becomes (−5, 7). What was the original point?
(5, −7)
An account starts with a balance of 250.
Transactions occur:−85, +120,−120, −45, -95, +180. What is the final balance?
290
A city map uses a coordinate plane where each unit represents 0.5 miles. A library is at (-3, 4), a school is at (-3, -2), and a park is at (5, -2). If you walk from the library to the school, then to the park, what is the total distance in miles?
7 miles (14 units × 0.5)
A point is located 4 units left and 7 units up from the origin. Reflect it across the x-axis. What are the new coordinates?
(−4, −7)
A submarine is at −120 meters. It rises 35 meters, then descends 2 times its new depth. What is its final position?
Start: −120
Rise → −85
Descend 2 × (−85) = −170
Final: −255 meters