Bluebook SAT Test Linear Inequalities in One or Two Variables 6

Question 1

Tina has $30 of merchandise and needs a minimum $50 purchase to use a coupon. How much more s must she spend?

Accepted Answer

s ≥ 20

Answer

30 + s ≥ 50 → s ≥ 20.

Question 2

Which value satisfies 2x − 5 > x + 1 AND x < 10?

Accepted Answer

x = 7

Answer

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

Accepted Answer

x ≤ 4

Answer

3x/2 ≤ 6 → x ≤ 4.

Question 4

If 2x + k > 10 has x = 3 as a solution, which value could k be?

Accepted Answer

k = 5

Answer

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?

Accepted Answer

L > 6

Answer

4L > 24 → L > 6.

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