PSAT Math Test- No calculator By Jane Eastwood | 1. If 2x – 3 = 11, then x = ? A) 7 B) 4 C) 5 D) 8 Correct answer: B Explanation: Add 3 to both sides, then divide both sides by 2. 2. A circle’s circumference is what fraction of its diameter? A) π/2 B) π C) 2π D) 4π Correct answer: B Explanation: Circumference = πd, diameter = d, so circumference/diameter = π. 3. John drove at an average speed of 50 miles per hour for x hours. How far did he drive? A) 50x miles B) 100x miles C) 2x miles D) x miles Correct answer: A Explanation: Distance = Speed x Time, so Distance = 50 mph x x hours = 50x miles 4. If 2x + 3 = 15, then what is the value of x? A) 5 B) 6 C) 7 D) 8 Correct answer: A Explanation: Subtract 3 from both sides, then divide both sides by 2. 5. Simplify: -3(-5 + 7) A) 12 B) -12 C) 18 D) -18 Correct answer: B Explanation: -3(-5 + 7) = -3(-(-2)) = -3(2) = -6 6. What is the slope of a line containing the points (2, 5) and (6, 11)? A) 2 B) 3 C) 4 D) 5 Correct answer: B Explanation: Use slope formula (y2-y1)/(x2-x1). Rise is 11-5=6, run is 6-2=4. Slope is 6/4=3. 7. If a 24-inch rope is cut into four equal pieces, what is the length of each piece? A) 6 inches B) 8 inches C) 12 inches D) 24 inches Correct answer: A Explanation: 24 inches divided by 4 equal pieces is 6 inches each. 8. Simplify: 5x/15 A) x/3 B) 3x C) x/5 D) 5x/15 Correct answer: A Explanation: 5x/15 = x/3 (divide the numerator and denominator by 5) 9. What is the area of an equilateral triangle with each side measuring 8 inches? A) 16 square inches B) 24 square inches C) 32 square inches D) 48 square inches Correct answer: C Explanation: Area of equilateral triangle = (√3/4)s^2. Plug in s = 8 inches. 10. If x – 3 < 7, which of the following must be true? A) x < 10 B) x ≤ 10 C) x > 10 D) x ≥ 10 Correct answer: B Explanation: Add 3 to both sides, x – 3 + 3 < 7 + 3. Then x < 10, so x ≤ 10. Loading … Posted in Other
