Bluebook SAT Test Linear Inequalities in One or Two Variables 15

Question 1

Which of the following is equivalent to the inequality −x > 4 − 3x?

Accepted Answer

x > 2

Answer

x < 2

Answer

x > −2

Answer

x < −2

Question 2

A tank starts with 400 liters and is drained at 15 liters per minute. How many complete minutes m can it drain before falling below 100 liters?

Accepted Answer

19

Answer

20

Answer

26

Answer

27

Question 3

If f(x) = 5 − 2x and f(x) > 1, what is the solution set?

Accepted Answer

x < 2

Answer

x > 2

Answer

x < −2

Answer

x > −2

Question 4

The shaded region on a graph is above the line y = 2x − 3 and below y = 5. Which system describes it?

Accepted Answer

y > 2x − 3 and y < 5

Answer

y ≥ 2x − 3 and y ≤ 5

Answer

y < 2x − 3 and y > 5

Answer

y ≤ 2x − 3 and y ≥ 5

Question 5

Solve: |2x − 3| ≤ 7 (treat as a linear inequality by splitting into compound form)

Accepted Answer

−2 ≤ x ≤ 5

Answer

x ≤ −2 or x ≥ 5

Answer

−5 ≤ x ≤ 2

Answer

x ≤ −5 or x ≥ 2

Question 6

For which value of c does the inequality 3x + c ≤ 15 have x = 4 as its maximum integer solution?

Accepted Answer

c = 3

Answer

c = 0

Answer

c = −3

Answer

c = 6

Question 7

Owen needs at least $500 for a trip. He has saved $80 and will earn $15/hr this weekend. How many hours h must he work?

Accepted Answer

h ≥ 28

Answer

h > 28

Answer

h ≥ 30

Answer

h > 30

Question 8

Which inequality is represented by the graph showing a dashed line through (0, 4) and (2, 0), with shading below?

Accepted Answer

y < −2x + 4

Answer

y ≤ −2x + 4

Answer

y > −2x + 4

Answer

y ≥ −2x + 4