Bluebook SAT Test Linear Inequalities in One or Two Variables 12

Question 1

Which value of m does NOT satisfy 3m + 4 ≥ 2(m − 1)?

Accepted Answer

−7

Answer

3m + 4 ≥ 2m − 2 → m ≥ −6; m = −7 is less than −6, so it fails the inequality.

Question 2

Solve for y: 4 − y/2 > 1

Accepted Answer

y < 6

Answer

−y/2 > −3 → y < 6 (multiply by −2, flip sign).

Question 3

A company ships packages under 70 pounds. Each carton weighs 5 pounds and the contents weigh c pounds. If the total must be under 70 lb, which inequality is correct?

Accepted Answer

5 + c < 70

Answer

Total weight is 5 + c, and it must be strictly less than 70, giving 5 + c < 70.

Question 4

Solve the compound inequality: −1 ≤ (x + 3)/2 < 4

Accepted Answer

−5 ≤ x < 5

Answer

Multiply all parts by 2: −2 ≤ x + 3 < 8 → −5 ≤ x < 5.

Question 5

Which region of the xy-plane satisfies both y ≥ x and y ≤ 4?

Accepted Answer

The area above y = x and at or below y = 4

Answer

y ≥ x is the region on or above the line y = x, and y ≤ 4 is at or below the horizontal line y = 4.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

Bluebook SAT Test Linear Inequalities in One or Two Variables 12