Bluebook SAT Test Linear Inequalities in One or Two Variables 7

Question 1

Which of the following is in the solution set of both x > −2 and x ≤ 5?

Accepted Answer

x = 0

Answer

Need −2 < x ≤ 5; x = 0 satisfies both.

Question 2

Solve for x: 5x − 8 < 3x + 4

Accepted Answer

x < 6

Answer

2x < 12 → x < 6.

Question 3

A taxi driver wants to earn more than $120 in a shift at $3 per mile. He has driven 20 miles. How many more miles m must he drive?

Accepted Answer

m > 20

Answer

3(20 + m) > 120 → 60 + 3m > 120 → 3m > 60 → m > 20.

Question 4

If −3 ≤ x ≤ 5, what is the greatest possible value of 2x − 1?

Accepted Answer

9

Answer

Maximize by choosing x = 5: 2(5) − 1 = 9.

Question 5

Which point is in the region defined by y > 2x − 3 AND y < −x + 6?

Accepted Answer

(1, 2)

Answer

Test (1, 2): 2 > −1 ✓; 2 < 5 ✓.

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