Bluebook SAT Test Linear Inequalities in One or Two Variables 5

Question 1

If 5 − 3x ≤ −4, which of the following MUST be true?

Accepted Answer

x ≥ 3

Answer

−3x ≤ −9 → x ≥ 3.

Question 2

A phone plan offers unlimited texts for $25/month or $0.05 per text. For how many texts does the unlimited plan become less expensive?

Accepted Answer

More than 500 texts

Answer

0.05t > 25 → t > 500.

Question 3

What is the greatest integer that satisfies 4x + 9 < 25?

Accepted Answer

3

Answer

4x < 16 → x < 4; the greatest integer strictly less than 4 is 3.

Question 4

Which inequality is equivalent to 3 − 4x ≥ 11?

Accepted Answer

x ≤ −2

Answer

−4x ≥ 8 → x ≤ −2.

Question 5

A swim team needs at least 8 members. It currently has 5. Which inequality shows additional members n needed?

Accepted Answer

5 + n ≥ 8

Answer

5 + n ≥ 8.

Bluebook SAT Practice Test