Bluebook SAT Test Linear Inequalities in One or Two Variables 12

Question 1

Which value of m does NOT satisfy 3m + 4 ≥ 2(m − 1)?

Accepted Answer

−7

Answer

−6

Answer

0

Answer

5

Question 2

Solve for y: 4 − y/2 > 1

Accepted Answer

y < 6

Answer

y > 6

Answer

y < −6

Answer

y > −6

Question 3

A company ships packages under 70 pounds. Each carton weighs 5 pounds and the contents weigh c pounds. If the total must be under 70 lb, which inequality is correct?

Accepted Answer

5 + c < 70

Answer

5 + c ≤ 70

Answer

5c < 70

Answer

5c ≤ 70

Question 4

Solve the compound inequality: −1 ≤ (x + 3)/2 < 4

Accepted Answer

−5 ≤ x < 5

Answer

−5 < x ≤ 5

Answer

−1 ≤ x < 4

Answer

−1 < x ≤ 4

Question 5

Which region of the xy-plane satisfies both y ≥ x and y ≤ 4?

Accepted Answer

The area above y = x and at or below y = 4

Answer

The area below y = x and above y = 4

Answer

The area above y = x and above y = 4

Answer

The area below y = x and at or below y = 4

Question 6

If 5a − 7 > 13 and 2a ≤ 10, how many integers satisfy both inequalities?

Accepted Answer

1

Answer

2

Answer

0

Answer

3

Question 7

A photographer charges $50 for a session plus $10 per edited photo. A client's budget is at most $150. Which inequality shows the maximum number of edited photos n?

Accepted Answer

50 + 10n ≤ 150

Answer

10n ≤ 150

Answer

50 + 10n < 150

Answer

10n < 150

Question 8

For what values of x does 2x + 3 > 7 AND x − 1 < 4 both hold?

Accepted Answer

2 < x < 5

Answer

2 ≤ x ≤ 5

Answer

x > 2 or x < 5

Answer

x < 2 or x > 5