Bluebook SAT Test Linear Equations in One Variable 4 — Questions and Answers
Question 1: If 9 − x = 4, what is the value of 3x?
- 3
- 5
- 15 (Correct answer)
- 27
Correct answer: 15
x = 5; therefore 3x = 15.
Question 2: Solve for x: x/3 + x/6 = 5
- x = 6
- x = 10 (Correct answer)
- x = 15
- x = 30
Correct answer: x = 10
Common denominator: 2x/6 + x/6 = 3x/6 = x/2 = 5 → x = 10.
Question 3: In the equation 4x + b = 22, if x = 3, what is the value of b?
- b = 2
- b = 4
- b = 10 (Correct answer)
- b = 34
Correct answer: b = 10
4(3) + b = 22 → 12 + b = 22 → b = 10.
Question 4: Solve for x: 3x − 5 = 2(x + 4)
- x = 3
- x = 5
- x = 13 (Correct answer)
- x = −3
Correct answer: x = 13
Distribute: 3x − 5 = 2x + 8; subtract 2x: x = 13.
Question 5: A scale displays 135 pounds, but it consistently adds 5 pounds to every reading. What is the person's actual weight?
- 125 pounds
- 130 pounds (Correct answer)
- 135 pounds
- 140 pounds
Correct answer: 130 pounds
Actual + 5 = 135 → actual = 130 pounds.
Question 6: If 0.5x + 1.5 = 4, what is the value of x?
- x = 5 (Correct answer)
- x = 7
- x = 2.5
- x = 11
Correct answer: x = 5
Subtract 1.5: 0.5x = 2.5; divide by 0.5: x = 5.
Question 7: A movie theater sells adult tickets for $12 and child tickets for $8. A family bought 1 child ticket and spent $68 total. How many adult tickets did they buy?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
12a + 8 = 68 → 12a = 60 → a = 5.
Bluebook SAT Test Linear Equations in One Variable 4
If 9 − x = 4, what is the value of 3x?