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

x ≥ 3

Answer

x ≤ −3

Answer

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

18

Answer

12

Answer

20

Question 3

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

Accepted Answer

x = −4

Answer

x = −2

Answer

x = 0

Answer

x = 3

Question 4

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

Accepted Answer

(−2, 4]

Answer

[−2, 4)

Answer

(−4, 8]

Answer

[−4, 8)

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

0.08t ≤ 40

Answer

0.08t > 40

Answer

0.08t ≥ 40

Question 6

Which ordered pair satisfies the inequality 3x − 2y > 6?

Accepted Answer

(4, 2)

Answer

(1, 0)

Answer

(2, 1)

Answer

(0, −3)

Question 7

Solve for x: (2x + 1)/3 < 5

Accepted Answer

x < 7

Answer

x > 7

Answer

x < 14

Answer

x > 14

Question 8

A warehouse can hold at most 500 boxes. There are already 185 boxes inside. A forklift loads b boxes at a time and makes at least 5 trips. Which inequality correctly models this situation?

Accepted Answer

185 + 5b ≤ 500

Answer

5b ≤ 500

Answer

185 + 5b ≥ 500

Answer

5b ≥ 500