Bluebook SAT Test Linear Inequalities in One or Two Variables 11

Question 1

If 6x − 5 ≤ 4x + 7, what is the largest integer value of x?

Accepted Answer

6

Answer

7

Answer

5

Answer

4

Question 2

Carlos earns $15 per hour. He needs to earn more than $200 before the weekend. Which inequality shows how many hours h he must work?

Accepted Answer

15h > 200

Answer

15h ≥ 200

Answer

15h < 200

Answer

15h ≤ 200

Question 3

Which system of inequalities is satisfied by (3, −1)?

Accepted Answer

y < x − 3 and y > −2

Answer

y > x + 1 and y < 0

Answer

y ≥ 2x and y < 4

Answer

y ≤ x − 5 and y > −1

Question 4

Solve for x: 5(x − 2) < 3(x + 4)

Accepted Answer

x < 11

Answer

x > 11

Answer

x < −11

Answer

x > −11

Question 5

The temperature in a lab must stay strictly between 18°C and 26°C. Which compound inequality describes acceptable temperature T?

Accepted Answer

18 < T < 26

Answer

18 ≤ T ≤ 26

Answer

T > 18 or T < 26

Answer

T ≥ 18 and T ≤ 26

Question 6

Which of the following best represents all x such that both x > −4 and x ≤ 3?

Accepted Answer

−4 < x ≤ 3

Answer

−4 ≤ x < 3

Answer

−4 < x < 3

Answer

−4 ≤ x ≤ 3

Question 7

A chef needs at least 3 pounds of flour but cannot carry more than 8 pounds total of flour f and sugar s. Which represents these constraints?

Accepted Answer

f ≥ 3 and f + s ≤ 8

Answer

f ≥ 3 and f + s < 8

Answer

f > 3 and f + s ≤ 8

Answer

f > 3 and f + s < 8

Question 8

If 2 ≤ x ≤ 7, what is the maximum value of 3 − 2x?

Accepted Answer

−1

Answer

−11

Answer

3

Answer

1