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A. The temperature drops 6° overnight and then drops another 6° the next morning.
B. A hiker climbs 14 feet up a trail at hour 1 and then climbs another 14 feet on hour 2.
C. A store receives 28 boxes and then ships 28 boxes to out of the store.
D. A diver descends 52 feet below sea level and then rises 52 feet toward sea level.
E. A farmer uses 7½ gallons of water from a tank and then adds 7½ gallons back into the tank.
C, D, E
Consider the expression: 3 + (−8)
Part A: Model the expression on a number line.
Part B: Evaluate the expression.
-5
Maya digs a hole in her backyard to plant a small tree. She digs 8 inches beneath the ground. She digs another 6¾ inches until she reaches the correct depth.
Part A: Write an expression to represent the change in depth from the ground to the lowest point of the hole.
Expression:
Part B: What rational number represents the overall change in inches?
Answer:
−8 + (−6¾) = −14¾ inches
2⅜ + (−7¼)
−4⅞
A. A bank account is charged $45 and then charged another $45.
B. A balloon rises 18 meters and then falls 18 meters.
C. A football team loses 12 yards and then gains 12 yards.
D. A plant grows 4.5 centimeters and then grows another 4.5 centimeters.
E. A submarine travels 325 feet below sea level and then rises 325 feet.
B, C, E
Consider the expression: −2 + (−6)
Part A: Model the expression on a number line.
Part B: Evaluate the expression.
-8
Carlos is digging a trench for a garden irrigation pipe. He digs 13 inches below ground level. He then digs another 4⅝ inches deeper.
Part A: Write an expression to represent the change in depth from the ground to the lowest point of the hole.
Expression:
Part B: What rational number represents the overall change in inches?
Answer:
−13 + (−4⅝) = −17⅝ inches
(−8⅚) + 5⅓
−3½
A temperature increases 8° and then decreases 8°.
B. A student earns 25 points and then earns another 25 points.
C. An elevator moves down 30 floors and then moves up 30 floors.
D. A runner travels 3.2 miles east and then travels another 3.2 miles east.
E. A tank loses 12¼ liters of water and then gains 12¼ liters.
A, C, E
Consider the expression: 5 + (−9)
Part A: Model the expression on a number line.
Part B: Evaluate the expression.
-4
A construction worker digs a hole for a fence post. The hole is first dug 10 inches below ground. The worker then digs another 7⅜ inches deeper.
Part A: Write an expression to represent the change in depth from the ground to the lowest point of the hole.
Expression:
Part B: What rational number represents the overall change in inches?
Answer:
−10 + (−7⅜) = −17⅜ inches
(−10¾) + 6⁵⁄₁₂
−4⅓
A. A mountain climber climbs 75 feet and then descends 75 feet.
B. A freezer's temperature decreases 9° and then decreases another 9°.
C. A player loses 16 points and then gains 16 points.
D. A submarine rises 240 feet and then dives 240 feet.
E. A baker makes 6 dozen cookies and then makes another 6 dozen cookies.
A, C, D
Consider the expression: −4 + 7
Part A: Model the expression on a number line.
Part B: Evaluate the expression.
3
A gardener digs a hole for a shrub. She digs 9 inches below the surface and then digs another 5⅞ inches deeper.
Part A: Write an expression to represent the change in depth from the ground to the lowest point of the hole.
Expression:
Part B: What rational number represents the overall change in inches?
Answer:
−9 + (−5⅞) = −14⅞ inches
(−3⅜) + 7¼
3⅞
A. A bird flies 42 meters north and then flies another 42 meters north.
B. A savings account increases by $60 and then decreases by $60.
C. A diver goes 18 feet below the surface and then rises 18 feet.
D. A bucket contains 9¾ gallons and then another 9¾ gallons are added.
E. The temperature rises 5° and then falls 5°.
B, C, E
Consider the expression: −3 + (−5)
Part A: Model the expression on a number line.
Part B: Evaluate the expression.
-8
A worker digs a hole for a mailbox post. He first digs 12 inches beneath the ground and then digs another 8¼ inches.
Part A: Write an expression to represent the change in depth from the ground to the lowest point of the hole.
Expression:
Part B: What rational number represents the overall change in inches?
Answer:
−12 + (−8¼) = −20¼ inches
4⁷⁄₁₀ + (−9⅜)
−4 27/40