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

Answer

x = 4

Answer

x = 5

Question 2

Solve: 3 ≤ 5 − x < 8

Accepted Answer

−3 < x ≤ 2

Answer

−3 ≤ x < 2

Answer

3 < x ≤ 8

Answer

−2 < x ≤ 3

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

10t < 350

Answer

10t ≤ 350

Answer

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 = −4, −3

Answer

x = 0, 1, 2, 3 only

Answer

x = 4, 5, 6

Question 5

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

Accepted Answer

y ≤ 3x and y ≥ x + 2

Answer

y > 3x and y < x + 2

Answer

y < 3x and y > x + 2

Answer

y ≥ 3x and y ≤ x + 2

Question 6

The difference of two numbers is at least 7. The smaller number is 3. What is the minimum value of the larger number?

Accepted Answer

10

Answer

4

Answer

7

Answer

21

Question 7

For what values of x is 3x − 2 strictly between 4 and 16?

Accepted Answer

2 < x < 6

Answer

1 < x < 5

Answer

1 ≤ x ≤ 5

Answer

2 ≤ x ≤ 6