Bluebook SAT Test Linear Equations in One Variable 9 — Questions and Answers
Question 1: If 11 − 3x = 2, what is the value of 6x?
- 3
- 6
- 18 (Correct answer)
- 27
Correct answer: 18
Solving gives x = 3, so 6x = 18.
Question 2: A catering company charges a $75 setup fee plus $18 per guest. A client's total bill was $399. How many guests attended?
- 15
- 17
- 18 (Correct answer)
- 20
Correct answer: 18
18g + 75 = 399 → 18g = 324 → g = 18.
Question 3: Solve for x: 3x/4 − 2 = 7
- 9
- 10
- 12 (Correct answer)
- 15
Correct answer: 12
3x/4 = 9 → x = 12.
Question 4: In the equation 2(ax − 3) = 14, if x = 2 what is a?
- 1
- 2
- 3
- 5 (Correct answer)
Correct answer: 5
2(2a − 3) = 14 → 4a − 6 = 14 → 4a = 20 → a = 5.
Question 5: A delivery driver's earnings are modeled by E = 12h + 8d, where h is hours worked and d is deliveries made. If the driver worked 5 hours and earned $92, how many deliveries did they make?
- 2
- 3
- 4 (Correct answer)
- 5
Correct answer: 4
92 = 12(5) + 8d → 92 = 60 + 8d → 8d = 32 → d = 4.
Question 6: Solve for x: 5 − (2x + 3) = −6
- −2
- 2
- 4
- 8 (Correct answer)
Correct answer: 8
5 − 2x − 3 = −6 → 2 − 2x = −6 → −2x = −8 → x = 4.
Question 7: If (2x + 1)/3 = (x + 5)/2, what is the value of x?
- 3
- 5
- 7
- 13 (Correct answer)
Correct answer: 13
Cross-multiplying: 2(2x + 1) = 3(x + 5) → 4x + 2 = 3x + 15 → x = 13.
Bluebook SAT Test Linear Equations in One Variable 9
If 11 − 3x = 2, what is the value of 6x?