Bluebook SAT Test Linear Inequalities in One or Two Variables 4

Question 1

If 6 − 2x > 0, which of the following could be x?

Accepted Answer

x = 2

Answer

−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?

Accepted Answer

20 miles

Answer

5 + 0.75m ≤ 20 → 0.75m ≤ 15 → m ≤ 20.

Question 3

Which ordered pair satisfies both y ≥ 2x − 1 and y < x + 3?

Accepted Answer

(2, 4)

Answer

Test (2, 4): 4 ≥ 3 ✓ and 4 < 5 ✓.

Question 4

Solve for y: −y/4 + 1 > −2

Accepted Answer

y < 12

Answer

−y/4 > −3 → −y > −12 → y < 12.

Question 5

Which point satisfies y ≤ (1/2)x + 3?

Accepted Answer

(2, 1)

Answer

Test (2, 1): 1 ≤ 1+3 = 4. True.

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