Bluebook SAT Test Linear Inequalities in One or Two Variables 4 — Questions and Answers
Question 1: If 6 − 2x > 0, which of the following could be x?
- x = 3
- x = 4
- x = 5
- x = 2 (Correct answer)
Correct answer: x = 2
−2x > −6 → x < 3; only x = 2 satisfies x < 3.
Question 2: A delivery service charges $5 plus $0.75 per mile. A customer's budget is $20. What is the maximum number of whole miles the delivery can cover?
- 15 miles
- 18 miles
- 20 miles (Correct answer)
- 33 miles
Correct answer: 20 miles
5 + 0.75m ≤ 20 → 0.75m ≤ 15 → m ≤ 20.
Question 3: Which ordered pair satisfies both y ≥ 2x − 1 and y < x + 3?
- (3, 1)
- (0, −2)
- (2, 4) (Correct answer)
- (1, 4)
Correct answer: (2, 4)
Test (2, 4): 4 ≥ 3 ✓ and 4 < 5 ✓.
Question 4: Solve for y: −y/4 + 1 > −2
- y < 12 (Correct answer)
- y > 12
- y < −12
- y > −12
Correct answer: y < 12
−y/4 > −3 → −y > −12 → y < 12.
Question 5: Which point satisfies y ≤ (1/2)x + 3?
- (0, 4)
- (4, 5)
- (−2, 3)
- (2, 1) (Correct answer)
Correct answer: (2, 1)
Test (2, 1): 1 ≤ 1+3 = 4. True.
Question 6: The number of girls g in a class is at least twice the number of boys b. Which inequality represents this?
- b ≥ 2g
- g ≥ 2b (Correct answer)
- g > 2b
- b > 2g
Correct answer: g ≥ 2b
'Girls is at least twice boys' means g ≥ 2b.
Question 7: Solve for x: 2(x − 3) > 3(x + 2)
- x > −12
- x < −12 (Correct answer)
- x > 12
- x < 12
Correct answer: x < −12
Expand: 2x − 6 > 3x + 6; subtract 2x: −6 > x + 6; subtract 6: x < −12.
Bluebook SAT Test Linear Inequalities in One or Two Variables 4
If 6 − 2x > 0, which of the following could be x?