Bluebook SAT Test Linear Inequalities in One or Two Variables 2

Question 1

Solve for x: −3x + 6 > 15

Accepted Answer

x < −3

Answer

−3x > 9 → x < −3 (flip when dividing by −3).

Question 2

What is the graph of 2x + 1 < 7 on a number line?

Accepted Answer

Open circle at 3, arrow left

Answer

2x < 6 → x < 3; strict inequality uses open circle, arrow pointing left.

Question 3

Jacob can spend no more than $50. He picks up one book at $14. Each additional book costs $9. What is the maximum number of additional books he can buy?

Accepted Answer

4

Answer

14 + 9b ≤ 50 → 9b ≤ 36 → b ≤ 4.

Question 4

Solve: 4 < 2x + 2 ≤ 12

Accepted Answer

1 < x ≤ 5

Answer

Subtract 2 from all parts: 2 < 2x ≤ 10; divide by 2: 1 < x ≤ 5.

Question 5

The sum of a number and 6 is at most 10. Which inequality represents this?

Accepted Answer

n + 6 ≤ 10

Answer

'At most 10' means ≤ 10, so n + 6 ≤ 10.

Bluebook SAT Practice Test

Bluebook SAT Practice Test

Bluebook SAT Test Linear Inequalities in One or Two Variables 2