SAT - Scholastic Assessment Test SAT General 10 — Questions and Answers
Question 1: Which of the following is equivalent to (3x² + 2x − 8) / (x² − 4)?
- (3x − 4) / (x − 2) (Correct answer)
- (3x + 4) / (x + 2)
- (3x − 4) / (x + 2)
- (3x + 4) / (x − 2)
Correct answer: (3x − 4) / (x − 2)
Factor the numerator: 3x² + 2x − 8 = (3x − 4)(x + 2). Factor the denominator: x² − 4 = (x + 2)(x − 2). Cancel the common (x + 2) factor to get (3x − 4)/(x − 2).
Question 2: A train travels at 60 mph for 2.5 hours, then at 80 mph for 1.5 hours. What is the total distance traveled?
- 240 miles
- 260 miles
- 270 miles (Correct answer)
- 280 miles
Correct answer: 270 miles
Distance = rate × time. First leg: 60 × 2.5 = 150 miles. Second leg: 80 × 1.5 = 120 miles. Total: 150 + 120 = 270 miles.
Question 3: Consider the system of equations below. What is the value of x + y? 3x + 2y = 16 x − y = 2
- 4
- 5
- 6 (Correct answer)
- 8
Correct answer: 6
From the second equation, x = y + 2. Substitute into the first: 3(y + 2) + 2y = 16 → 5y + 6 = 16 → y = 2, x = 4. Therefore x + y = 6.
Question 4: A jacket originally priced at $120 is marked down by 15%. What is the sale price?
- $96.00
- $100.00
- $102.00 (Correct answer)
- $108.00
Correct answer: $102.00
A 15% discount means the customer pays 85% of the original price. 120 × 0.85 = $102.00.
Question 5: If x² − 5x + 6 = 0, what is the sum of all values of x that satisfy the equation?
- 2
- 3
- 5 (Correct answer)
- 6
Correct answer: 5
Factor the equation: (x − 2)(x − 3) = 0, giving x = 2 or x = 3. The sum of the solutions is 2 + 3 = 5.
Question 6: If f(x) = 2x² − 3x + 1, what is the value of f(4)?
- 17
- 19
- 21 (Correct answer)
- 25
Correct answer: 21
Substitute x = 4: f(4) = 2(4²) − 3(4) + 1 = 2(16) − 12 + 1 = 32 − 12 + 1 = 21.
SAT - Scholastic Assessment Test SAT General 10
Which of the following is equivalent to (3x² + 2x − 8) / (x² − 4)?