SAT - Scholastic Assessment Test SAT General 10

Question 1

Which of the following is equivalent to (3x² + 2x − 8) / (x² − 4)?

Accepted Answer

(3x − 4) / (x − 2)

Answer

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?

Accepted Answer

270 miles

Answer

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

Accepted Answer

6

Answer

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?

Accepted Answer

$102.00

Answer

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?

Accepted Answer

5

Answer

Factor the equation: (x − 2)(x − 3) = 0, giving x = 2 or x = 3. The sum of the solutions is 2 + 3 = 5.

SAT Practice Test

SAT Practice Test

SAT - Scholastic Assessment Test SAT General 10