Rational Addition/Subtraction Worksheets Grade 7

1. A rectangular garden is drawn on a coordinate plane with vertices at (-3, 2), (5, 2), (5, -4), and (-3, -4). A diagonal path is drawn from (-3, 2) to (5, -4). What is the length of this diagonal path? Round your answer to the nearest tenth.
2. Sophia is tracking the altitude of her drone during a flight. The drone starts at an altitude of -18.75 feet (below ground level). It then rises 24.5 feet, then descends 31.25 feet, and finally rises 15.75 feet. What is the final altitude of the drone in feet?
3. Kaia is tracking the altitude of a hot air balloon. The balloon starts at an altitude of -135 feet (below sea level). It then ascends 287 feet. After that, it descends 419 feet. Finally, it ascends 173 feet. What is the final altitude of the balloon?

…and 4 more problems

1. Tane is tracking the depth of a river during a storm. The river starts at a depth of 3.75 meters above normal. After heavy rain, the depth rises by 7.5 meters. Then, during a flash flood, it rises again by 4.25 meters. Finally, the water recedes, dropping by 15.5 meters. What is the final depth of the river relative to normal?
2. A scientist is tracking the temperature changes in a chemical reaction. The reaction starts at 15.75°C. In the first phase, the temperature increases by 8.25°C. In the second phase, it decreases by 12.5°C. In the final phase, it increases again by 6.75°C. What is the final temperature of the reaction?
3. Olivia is checking the balance of her savings account. On Monday, she had $157.75. On Tuesday, she withdrew $93.50 to pay for a new bicycle. On Wednesday, she deposited her birthday money of $85.25. On Thursday, she transferred $111.00 to her checking account. What is Olivia's final savings account balance after all these transactions?

…and 5 more problems

1. Liam is tracking his stock portfolio. On Monday, his investment gained 3/8 of its value. On Tuesday, it lost 1/4 of its new value. On Wednesday, it gained another 5/16 of its value. What was the total fractional change in the value of his investment over the three days?
2. Emma is tracking the altitude of a research drone as it flies over a mountain range. The drone starts at an altitude of 135 meters above sea level. It first descends 87 meters to avoid a cliff, then ascends 63 meters to catch a thermal updraft, and finally descends 49 meters to land on a plateau. What is the drone's final altitude relative to sea level?
3. Charlotte is tracking the depth of a research submarine during an underwater expedition. The submarine starts at -250.75 feet relative to sea level. It then descends (goes deeper) by 185.5 feet to investigate a coral reef. After exploring the reef, it ascends (goes up) by 312.25 feet to avoid an underwater canyon. Finally, it descends again by 98.4 feet to collect samples near the ocean floor. What is the final depth of the submarine relative to sea level?

…and 4 more problems