Bluebook SAT Test Linear Inequalities in One or Two Variables 1 — Questions and Answers
Question 1: Which of the following values of x satisfies 2x − 5 > 3?
- x = 2
- x = 3
- x = 4
- x = 5 (Correct answer)
Correct answer: x = 5
2x > 8 → x > 4; only x = 5 satisfies this.
Question 2: Solve for x: 3x + 4 ≤ 19
- x ≤ 3
- x ≤ 5 (Correct answer)
- x ≤ 7
- x ≤ 15
Correct answer: x ≤ 5
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?
- 4n < 75
- 4n ≤ 75
- 4n ≥ 75 (Correct answer)
- 4n > 75
Correct answer: 4n ≥ 75
Score = 4n; 'at least 75' means 4n ≥ 75.
Question 4: For which value of x is 4 − 2x < −6?
- x = 3
- x = 4
- x = 5
- x = 6 (Correct answer)
Correct answer: x = 6
−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?
- x < −3
- x > −3
- x ≥ −3 (Correct answer)
- x ≤ −3
Correct answer: x ≥ −3
To the right of −3 and including −3 means x ≥ −3.
Question 6: If 5x − 1 ≥ 2x + 11, what is the least integer value of x?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
3x ≥ 12 → x ≥ 4; the least integer is 4.
Question 7: Rosa needs at least $1.25 to use a vending machine. She has d dollars. Which inequality shows she can buy a snack?
- d < 1.25
- d ≤ 1.25
- d ≥ 1.25 (Correct answer)
- d > 1.25
Correct answer: d ≥ 1.25
She needs at least $1.25, so d ≥ 1.25.
Bluebook SAT Test Linear Inequalities in One or Two Variables 1
Which of the following values of x satisfies 2x − 5 > 3?