Bluebook SAT Test Linear Inequalities in One or Two Variables 1

Question 1

Which of the following values of x satisfies 2x − 5 > 3?

Accepted Answer

x = 5

Answer

2x > 8 → x > 4; only x = 5 satisfies this.

Question 2

Solve for x: 3x + 4 ≤ 19

Accepted Answer

x ≤ 5

Answer

3x ≤ 15 → x ≤ 5.

Question 3

A student needs to score at least 75 on a 25-question test worth 4 points each. Which inequality represents scoring at least 75?

Accepted Answer

4n ≥ 75

Answer

Score = 4n; 'at least 75' means 4n ≥ 75.

Question 4

For which value of x is 4 − 2x < −6?

Accepted Answer

x = 6

Answer

−2x < −10 → x > 5 (flip when dividing by −2); only x = 6 works.

Question 5

Which inequality represents all values of x on the number line to the right of −3, including −3?

Accepted Answer

x ≥ −3

Answer

To the right of −3 and including −3 means x ≥ −3.

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