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

4x − 2x − 3 > 9 → 2x > 12 → x > 6.

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

0.60(6) + 0.90p < 9.00 → 3.60 + 0.90p < 9.00 → 0.90p < 5.40 → p < 6; the largest whole number strictly less than 6 is 5.

Question 3

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

Accepted Answer

x > 6

Answer

−x/3 < −2 → x/3 > 2 → x > 6.

Question 4

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

Accepted Answer

−2 < x < 4

Answer

Subtract 6 from all parts: −6 < 3x < 12 → −2 < x < 4.

Question 5

Which of the following inequalities has no solution?

Accepted Answer

x > 5 and x < 2

Answer

x > 5 and x < 2 requires x to be simultaneously greater than 5 and less than 2, which is impossible.

Bluebook SAT Practice Test Practice Test

Bluebook SAT Practice Test Practice Test

Bluebook SAT Test Linear Inequalities in One or Two Variables 16