Bluebook SAT Test Linear Equations in One Variable 2 — Questions and Answers
Question 1: Solve for x: 7x − 4 = 3x + 12
- x = 2
- x = 4 (Correct answer)
- x = 8
- x = 16
Correct answer: x = 4
Subtract 3x: 4x − 4 = 12; add 4: 4x = 16; x = 4.
Question 2: A car rental costs $20 per day plus $0.15 per mile. Jake paid $47 for a one-day rental. How many miles did he drive?
- 120 miles
- 160 miles
- 180 miles (Correct answer)
- 313 miles
Correct answer: 180 miles
20 + 0.15m = 47 → 0.15m = 27 → m = 180.
Question 3: If 3(2x − 1) = 21, what is the value of x?
- x = 3
- x = 4 (Correct answer)
- x = 7
- x = 11
Correct answer: x = 4
Divide by 3: 2x − 1 = 7; add 1: 2x = 8; x = 4.
Question 4: Solve for t: (3t + 6)/3 = 8
- t = 2
- t = 6 (Correct answer)
- t = 8
- t = 18
Correct answer: t = 6
Multiply both sides by 3: 3t + 6 = 24; subtract 6: 3t = 18; t = 6.
Question 5: The sum of two consecutive integers is 47. What is the smaller integer?
- 22
- 23 (Correct answer)
- 24
- 25
Correct answer: 23
n + (n+1) = 47 → 2n = 46 → n = 23.
Question 6: If 4 − 3x = −11, what is the value of x?
- x = −5
- x = 5 (Correct answer)
- x = −7/3
- x = 7/3
Correct answer: x = 5
Subtract 4: −3x = −15; divide by −3: x = 5.
Question 7: A gym membership costs $50 to join and $30 per month. Mia has spent $230 total. For how many months has she been a member?
- 5 months
- 6 months (Correct answer)
- 7 months
- 8 months
Correct answer: 6 months
50 + 30m = 230 → 30m = 180 → m = 6.
Bluebook SAT Test Linear Equations in One Variable 2
Solve for x: 7x − 4 = 3x + 12