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Solve the inequality: -4x - 3 < 17
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Q1. Solve the inequality: -4x - 3 < 17
Correct answer: B. x > -5
Add 3 to both sides: -4x - 3 + 3 < 17 + 3, giving -4x < 20. Divide both sides by -4 and flip the inequality sign (because dividing by a negative number reverses the direction): x > 20/(-4), so x > -5.
Q2. What is the complete solution set for the equation |x - 4| = 7?
Correct answer: D. {-3, 11}
Remove the absolute value bars by setting up two equations: x - 4 = 7 or x - 4 = -7. Solving the first: x = 7 + 4 = 11. Solving the second: x = -7 + 4 = -3. The solution set is {-3, 11}.
Q3. Given that 1 kilogram is approximately 2.2 pounds, how many pounds does a 30-kilogram bag of dog food weigh?
Correct answer: C. 66 lb
Multiply using a unit conversion: 30 kg × 2.2 lb/1 kg = 66 lb.
Q4. Given that 1 liter = 1.76 pints, how many liters are in 70.4 pints?
Correct answer: C. 40 liters
Set up a proportion: 1 liter / 1.76 pints = x liters / 70.4 pints. Cross-multiply: 1.76x = 70.4. Divide both sides by 1.76: x = 70.4 / 1.76 = 40 liters.
Q5. By what factor is 4/5 greater than 1/2?
Correct answer: B. 1.6
Divide 4/5 by 1/2: (4/5) ÷ (1/2) = (4 × 2) / (5 × 1) = 8/5 = 1.6. So 4/5 is 1.6 times greater than 1/2.
Q6. How many times greater is 4/7 than 1/7?
Correct answer: C. 4
Write 4/7 as a multiple of 1/7: 4/7 = (1/7) × x, so x = (4/7) ÷ (1/7) = 4/7 × 7/1 = 4. Therefore, 4/7 is 4 times greater than 1/7.
Q7. 96 is 60% of what number?
Correct answer: B. 160
Let n be the unknown. Translate to an equation: 96 = 60% of n, which means 96 = 0.60 × n. Divide both sides by 0.60: n = 96 / 0.60 = 160.
Q8. A storage container has a volume of 320 cubic units, a height of 5 units, and a square base. What is the side length of the base?
Correct answer: A. 8
Volume of a rectangular box = Length × Width × Height. Since the base is square, Length = Width = x. So 320 = 5x². Dividing both sides by 5: x² = 64, and x = 8.
Q9. A rectangular container is 6 inches long, 10 inches wide, and has a volume of 480 cubic inches. What is the height of the container?
Correct answer: A. 8 in
Volume = Length × Width × Height. So 480 = 6 × 10 × Height = 60 × Height. Dividing both sides by 60: Height = 480 / 60 = 8 inches.
Q10. A rectangular box measures 8 inches long, 9 inches wide, and 12 inches high. What is the volume of the box?
Correct answer: C. 864 in³
Volume = Length × Width × Height = 8 × 9 × 12 = 864 cubic inches (in³).
Exam facts and objectives sourced from the official ATI Testing certification page. Last reviewed June 2026.
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