Bluebook SAT Test Linear Inequalities in One or Two Variables 8

Question 1

If 4 − x > 1, which of the following is a possible value of x?

Accepted Answer

x = 2

Answer

−x > −3 → x < 3; only x = 2 satisfies x < 3.

Question 2

Solve: 3 ≤ 5 − x < 8

Accepted Answer

−3 < x ≤ 2

Answer

Subtract 5: −2 ≤ −x < 3; multiply by −1 (flip both): −3 < x ≤ 2.

Question 3

A runner burns 10 calories per minute and wants to burn more than 350 calories. Which inequality shows the minimum time t needed?

Accepted Answer

10t > 350

Answer

'More than 350' is a strict inequality: 10t > 350.

Question 4

For which integer values of x is both 2x > −6 and 3x ≤ 9 satisfied?

Accepted Answer

x = −2, −1, 0, 1, 2, 3

Answer

x > −3 and x ≤ 3; integers: −2, −1, 0, 1, 2, 3.

Question 5

Which system of inequalities is satisfied by the point (2, 5)?

Accepted Answer

y ≤ 3x and y ≥ x + 2

Answer

Test (2, 5) in C: 5 ≤ 6 ✓; 5 ≥ 4 ✓.

Bluebook SAT Practice Test