SAT Exam Math – No Calculator- Medium Difficulty By Jane Eastwood | 1. If x + 2y = 7 and 3x – y = 11, what is the value of x? A) 3 B) 4 C) 5 D) 6 The correct answer is A. Add the equations to eliminate y terms and solve for x. 2. Jessica bought a $48 dress and paid with a $100 bill. How much change should she receive? A) $52 B) $48 C) $42 D) $12 The correct answer is A. Use the formula amount paid – amount due = change. 3. A bag contains 5 red balls and 3 blue balls. If 2 balls are randomly selected, what is the probability that both balls are blue? A) 3/20 B) 1/10 C) 2/15 D) 3/8 The correct answer is C. Use the probability formula: Number of favorable outcomes / Total number of possible outcomes. 4. Evaluate: log(8)/log(2) A) 3 B) 4 C) 2 D) 1 The correct answer is C. Use the property that logb(xn) = nlogb(x). 5. A circle’s radius is doubled. By what factor does its area increase? A) 2 B) 4 C) 8 D) 3 The correct answer is C. Area of a circle is πr2. Doubling the radius squares it, so the area increases by a factor of 4 × 2 = 8. 6. If 2x – 3y = 5, what is the value of 6x – 9y? A) 15 B) 10 C) 30 D) 5 The correct answer is A. Use the given equation and multiply both sides of it by 3. 7. A bag contains 3 red marbles and 4 blue marbles. What is the probability of randomly selecting a blue marble on the first try? A) 3/7 B) 4/7 C) 1/4 D) 3/4 The correct answer is B. Use the probability formula, probability = Favorable outcomes / Total possible outcomes. 8. A survey found that out of 200 students, 120 liked popcorn and 80 liked pizza. How many students liked both popcorn and pizza? A) 40 B) 60 C) 80 D) 120 The correct answer is A. Use the formula: Total – (Popcorn only) – (Pizza only) = Both. 9. Factor: x2 – 9 A) (x – 3)(x + 3) B) (x + 3)(x – 3) C) (x – 3)2 D) (x + 3)2 The correct answer is A. Factor a difference of squares. 10. Simplify: log(x2/y) A) log(x2) – log(y) B) 2log(x) – log(y) C) log(x) – log(y) D) log(x2) + log(y) The correct answer is A. Use the property that log(a/b) = log(a) – log(b). Loading … Posted in Other
