Compound Inequalities Worksheets Grade 7

1. A science lab is testing a new chemical compound that must be stored at a temperature between -12°C and 8°C to remain stable. The lab's freezer can maintain temperatures from -20°C to 5°C. Write a compound inequality that represents the temperature range (t) where the chemical can be safely stored in this freezer.
2. A science lab is testing a new chemical that must be kept at a temperature between -12°C and 48°C to remain stable. The lab's cooling system can adjust the temperature by exactly 7°C from the current room temperature of 22°C. Write a compound inequality to represent all the safe temperature adjustments, t, the cooling system can make.
3. Mason is drawing a number line graph for a compound inequality. He shades all points to the right of 9 and all points to the left of 21, with solid circles at both 9 and 21. The shaded region represents all numbers that satisfy the inequality. Write the compound inequality that matches Mason's graph using x as the variable.

…and 4 more problems

1. Emma is saving money to buy a new bicycle that costs between $195 and $265. She already has $75 saved. She earns $15 each week from walking neighbors' dogs. Write a compound inequality to find the range of whole weeks, w, she needs to save in order to afford the bicycle.
2. 2(3x - 5) + 7 ≥ 15 and 4x - 3 < 17 = ?
3. Charlotte is helping her school's robotics team build a drone that can safely carry a payload. The drone's total takeoff weight, including the payload, must be at least 1,247 grams to maintain stability in wind, but no more than 1,832 grams to avoid exceeding motor capacity. The drone itself weighs 1,020 grams. If p represents the weight of the payload in grams, write a compound inequality for p, then solve it to find the range of possible payload weights that will keep the drone safely in the air.

…and 5 more problems

1. 2x + 5 > 11 and 3x - 4 ≤ 17
2. Hana is designing a rectangular garden on a coordinate grid. The garden has vertices at (0, 0), (24, 0), (24, 16), and (0, 16). She wants to build a square flower bed inside the garden with vertices at (4, 4), (12, 4), (12, 12), and (4, 12). What is the area of the garden that is NOT covered by the flower bed?
3. Liam is designing a community garden with a rectangular plot. The length of the plot must be at least 15 meters but less than 25 meters. The width must be more than 8 meters but no more than 12 meters. If the area of the garden is calculated by multiplying the length and width, what is the range of possible areas for the garden?

…and 4 more problems