Bluebook SAT Test Linear Equations in One Variable 6 — Questions and Answers
Question 1: If 8x + 3 = 51, what is the value of 4x?
- 6
- 12
- 24 (Correct answer)
- 48
Correct answer: 24
8x = 48, so x = 6; 4x = 24.
Question 2: Solve for x: 3x + 4 = x − 10
- x = −7 (Correct answer)
- x = 7
- x = −3
- x = 3
Correct answer: x = −7
Subtract x: 2x + 4 = −10; subtract 4: 2x = −14; x = −7.
Question 3: Two friends split the cost of a gift equally. Each person paid $23.50. What was the total cost?
- $11.75
- $25.00
- $46.00
- $47.00 (Correct answer)
Correct answer: $47.00
Total = 2 × 23.50 = $47.00.
Question 4: Solve for n: 4n − 7 = 2(n + 3)
- n = 3
- n = 6.5 (Correct answer)
- n = 13
- n = −1
Correct answer: n = 6.5
Expand: 4n − 7 = 2n + 6; subtract 2n: 2n = 13; n = 6.5.
Question 5: The equation 3(x + k) = 18 has the solution x = 3. What is the value of k?
- k = 1
- k = 2
- k = 3 (Correct answer)
- k = 5
Correct answer: k = 3
3(3 + k) = 18 → 3 + k = 6 → k = 3.
Question 6: A parking lot charges $3 for the first hour and $1.50 for each additional hour. Daria paid $9. How many total hours did she park?
- 4 hours
- 5 hours (Correct answer)
- 6 hours
- 7 hours
Correct answer: 5 hours
3 + 1.50(h − 1) = 9 → 1.50(h−1) = 6 → h−1 = 4 → h = 5.
Question 7: Solve for x: 5(x − 2) − 3(x + 1) = 11
- x = 5
- x = 8
- x = 12 (Correct answer)
- x = 15
Correct answer: x = 12
Expand: 5x − 10 − 3x − 3 = 11 → 2x − 13 = 11 → 2x = 24 → x = 12.
Bluebook SAT Test Linear Equations in One Variable 6
If 8x + 3 = 51, what is the value of 4x?