Bluebook SAT Test Linear Inequalities in One or Two Variables 6 — Questions and Answers
Question 1: Tina has $30 of merchandise and needs a minimum $50 purchase to use a coupon. How much more s must she spend?
- s > 20
- s ≥ 20 (Correct answer)
- s < 20
- s ≤ 20
Correct answer: s ≥ 20
30 + s ≥ 50 → s ≥ 20.
Question 2: Which value satisfies 2x − 5 > x + 1 AND x < 10?
- x = 5
- x = 6
- x = 7 (Correct answer)
- x = 10
Correct answer: x = 7
2x − 5 > x + 1 → x > 6; combined with x < 10, only x = 7 from the choices works.
Question 3: Solve for x: 3x/2 − 1 ≤ 5
- x ≤ 4 (Correct answer)
- x ≤ 6
- x ≤ 8
- x ≤ 12
Correct answer: x ≤ 4
3x/2 ≤ 6 → x ≤ 4.
Question 4: If 2x + k > 10 has x = 3 as a solution, which value could k be?
- k = −4
- k = 4
- k = 3
- k = 5 (Correct answer)
Correct answer: k = 5
6 + k > 10 → k > 4; only k = 5 satisfies k > 4.
Question 5: A rectangle's area must exceed 24 square inches. The width is fixed at 4 inches. Which inequality gives the required length L?
- L > 6 (Correct answer)
- L ≥ 6
- L < 6
- L ≤ 6
Correct answer: L > 6
4L > 24 → L > 6.
Question 6: Solve for y: 3 − 2y ≥ y + 12
- y ≥ −3
- y ≤ −3 (Correct answer)
- y ≥ 3
- y ≤ 3
Correct answer: y ≤ −3
3 − 12 ≥ 3y → −9 ≥ 3y → y ≤ −3.
Question 7: Which description represents the solution to |x| ≤ 3?
- All real numbers greater than 3
- All real numbers less than −3
- All real numbers between −3 and 3, inclusive (Correct answer)
- All real numbers except those between −3 and 3
Correct answer: All real numbers between −3 and 3, inclusive
|x| ≤ 3 means −3 ≤ x ≤ 3.
Bluebook SAT Test Linear Inequalities in One or Two Variables 6
Tina has $30 of merchandise and needs a minimum $50 purchase to use a coupon.
How much more s must she spend?