Bluebook SAT Test Linear Inequalities in One or Two Variables 16

Question 1

Solve for x: 4x − (2x + 3) > 9

Accepted Answer

x > 6

Answer

x < 6

Answer

x > 3

Answer

x < 3

Question 2

A fruit stand sells apples for $0.60 each and pears for $0.90 each. Mia spends less than $9.00. If she buys 6 apples, what is the maximum number of whole pears p she can buy?

Accepted Answer

5

Answer

6

Answer

7

Answer

4

Question 3

The inequality 5 − x/3 < 3 is equivalent to which of the following?

Accepted Answer

x > 6

Answer

x < 6

Answer

x > −6

Answer

x < −6

Question 4

If 0 < 3x + 6 < 18, what is the range of x?

Accepted Answer

−2 < x < 4

Answer

0 < x < 6

Answer

−6 < x < 2

Answer

0 < x < 4

Question 5

Which of the following inequalities has no solution?

Accepted Answer

x > 5 and x < 2

Answer

x > 2 and x < 5

Answer

x ≥ 3 and x ≤ 7

Answer

x ≤ 10 and x > −1

Question 6

A recipe requires flour and sugar with a combined weight of at most 5 cups. If flour f is at least 2 cups, which system represents these constraints?

Accepted Answer

f ≥ 2 and f + s ≤ 5

Answer

f ≥ 2 and f + s < 5

Answer

f > 2 and f + s ≤ 5

Answer

f > 2 and f + s < 5

Question 7

Solve for x: 3(2x − 1) ≥ 2(3x + 4)

Accepted Answer

No solution

Answer

All real numbers

Answer

x ≥ 11/6

Answer

x ≤ 11/6

Question 8

Elena needs to buy at least 40 stamps total. Forever stamps cost $0.68 and postcard stamps cost $0.53. She has $26. Which constraint ensures she has enough money?

Accepted Answer

0.68f + 0.53p ≤ 26

Answer

0.68f + 0.53p ≥ 26

Answer

0.68f + 0.53p < 26

Answer

0.68f + 0.53p > 26