Bluebook SAT Test Linear Inequalities in One or Two Variables 14

Question 1

Solve for x: x/4 + 3 > 5

Accepted Answer

x > 8

Answer

x < 8

Answer

x > 32

Answer

x < 32

Question 2

Which inequality has x = −2 as its only integer solution between −5 and 0?

Accepted Answer

−5 < 2x + 1 ≤ −3

Answer

−3 < 2x + 1 ≤ −3

Answer

−3 ≤ 2x + 1 < −3

Answer

−3 ≤ 2x + 1 ≤ −3

Question 3

If 3 − 4x < −13, which of the following must be true?

Accepted Answer

x > 4

Answer

x < 4

Answer

x > −4

Answer

x < −4

Question 4

A bag can hold at most 20 kg. Books weigh 1.5 kg each and a laptop weighs 2 kg. If n books and 1 laptop are packed, which inequality applies?

Accepted Answer

1.5n + 2 ≤ 20

Answer

1.5n + 2 < 20

Answer

1.5n ≤ 20

Answer

1.5n < 20

Question 5

For the inequality 2y − x ≥ 6, which statement about the boundary line is correct?

Accepted Answer

The boundary line y = (x + 6)/2 is solid

Answer

The boundary line y = (x + 6)/2 is dashed

Answer

The boundary line y = (x − 6)/2 is solid

Answer

The boundary line y = (x − 6)/2 is dashed

Question 6

Solve for x: −2x/5 ≥ 4

Accepted Answer

x ≤ −10

Answer

x ≥ −10

Answer

x ≤ 10

Answer

x ≥ 10

Question 7

An elevator sign reads 'Maximum load: 1,200 lb.' Six people with an average weight of w pounds each are boarding. Which inequality is correct?

Accepted Answer

6w ≤ 1200

Answer

6w < 1200

Answer

6/w ≤ 1200

Answer

w/6 ≤ 1200

Question 8

Which description correctly identifies all solutions to 3x + 1 > 2x − 5 AND x ≤ 3?

Accepted Answer

−6 < x ≤ 3

Answer

x > −6 or x ≤ 3

Answer

−6 ≤ x < 3

Answer

x > 3