SAT Exam Math – No Calculator- Difficult By Jane Eastwood | 1. If 2x – 3 = 5x/2, what is the value of x? A) -3 B) 0 C) 2 D) 3 The correct answer is B. Solve the equation for x: 2x – 3 = 5x/2 => 2x – 3 = 2.5x => -0.5x = -3 => x = 0. 2. Simplify: (a2b3/c4) / (a3b/c2) A) a/c2 B) b2/c2 C) ab/c2 D) a/bc The correct answer is C. Use properties of exponents to simplify the expression. 3. A right circular cone has a radius of 5 inches and height of 10 inches. What is the volume of the cone? A) 100π B) 150π C) 125π D) 50π The correct answer is B. Use the volume formula for a cone: V = (1/3)πr2h. 4. Evaluate: lim x->0 (sinx – x)/x A) 1 B) 0 C) -1 D) undefined The correct answer is A. Use L’Hôpital’s rule to evaluate the indeterminate form 5. A 40 ft ladder leans against a vertical wall. If the foot of the ladder is 6 ft from the base of the wall, how far up the wall does the ladder reach? A) 24 ft B) 34 ft C) 36 ft D) 44 ft The correct answer is B. Use the Pythagorean theorem to find the height of the ladder against the wall. 6. Points A and B lie on a line with a slope of 3. If A has coordinates (2, 6) and B has an x-coordinate of -1, what are the coordinates of B? A) (-1, 3) B) (-1, -3) C) (-1, 9) D) (-1, 0) The correct answer is A. Use the point-slope formula along with the given information to find the y-coordinate of B. 7. 7. An equilateral triangle has sides of length 8. Find the area of the triangle. A) 16√3 B) 24 C) 32√3 D) 48 The correct answer is C. Use the formula for the area of an equilateral triangle in terms of its side length. 8. 8. Simplify: log2(8x3y4/2z) A) 3log2(x) + 4log2(y) – log2(z) + 3 B) 3log2(x) + 4log2(y) – log2(z) C) 2log2(x) + 3log2(y) – log2(z) D) log2(x) + 4log2(y) – log2(z) The correct answer is B. Use properties of logarithms to distribute the log and simplify the exponents. 9. 9. If f(x) = x2 – 5x + 6, find f(-2) A) 8 B) 10 C) 12 D) 14 The correct answer is A. Simply substitute -2 into the function defined by f(x). 10. 10. The function g is defined by g(x) = x3 – 5. Find g'(3). A) 27 B) 24 C) 18 D) 9 The correct answer is A. Take the derivative of g(x) which is 3×2. Then substitute 3 into the derivative to find g'(3). Loading … Posted in Other
