Bluebook SAT Test Linear Inequalities in One or Two Variables 9

Question 1

If 7 − 3x ≥ −2, which of the following is the solution set?

Accepted Answer

x ≤ 3

Answer

Subtracting 7 gives −3x ≥ −9, and dividing by −3 (flipping the sign) gives x ≤ 3.

Question 2

A theater sells adult tickets for $12 and student tickets for $8. The drama club needs to raise at least $240. If they sell exactly 10 adult tickets, what is the minimum number of student tickets s they must sell?

Accepted Answer

15

Answer

10(12) + 8s ≥ 240 → 120 + 8s ≥ 240 → 8s ≥ 120 → s ≥ 15.

Question 3

Which of the following is a solution to the inequality −5x + 2 > 17?

Accepted Answer

x = −4

Answer

−5(−4) + 2 = 22 > 17 ✓; for all other choices the inequality fails.

Question 4

On a number line, the inequality −4 < 2x ≤ 8 is represented by what interval?

Accepted Answer

(−2, 4]

Answer

Dividing every part by 2 gives −2 < x ≤ 4, which corresponds to the interval (−2, 4].

Question 5

Alicia wants to keep her monthly phone bill under $60. Her plan charges $20 plus $0.08 per text. Which inequality gives the maximum number of texts t she can send?

Accepted Answer

0.08t < 40

Answer

20 + 0.08t < 60 simplifies to 0.08t < 40, so t < 500.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

Bluebook SAT Test Linear Inequalities in One or Two Variables 9