Bluebook SAT Test Linear Equations in One Variable 1 — Questions and Answers
Question 1: If 3x − 7 = 14, what is the value of x?
- 3
- 7 (Correct answer)
- 21
- −7
Correct answer: 7
Add 7 to both sides: 3x = 21; divide by 3: x = 7.
Question 2: A store sells notebooks for $4 each. Maya buys several notebooks and pays $28 total. How many notebooks did she buy?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
4n = 28 → n = 7.
Question 3: Solve for x: 5(x + 2) = 35
- x = 5 (Correct answer)
- x = 7
- x = 9
- x = 33
Correct answer: x = 5
Divide both sides by 5: x + 2 = 7; subtract 2: x = 5.
Question 4: If 2x + 9 = 4x − 3, what is the value of x?
- x = 2
- x = 3
- x = 6 (Correct answer)
- x = 12
Correct answer: x = 6
Subtract 2x: 9 = 2x − 3; add 3: 12 = 2x; x = 6.
Question 5: A plumber charges a $45 flat fee plus $30 per hour. A customer's bill was $165. How many hours did the plumber work?
- 3 hours
- 4 hours (Correct answer)
- 5 hours
- 6 hours
Correct answer: 4 hours
45 + 30h = 165 → 30h = 120 → h = 4.
Question 6: Solve for x: (x/4) − 3 = 2
- x = 5
- x = 12
- x = 20 (Correct answer)
- x = 28
Correct answer: x = 20
Add 3: x/4 = 5; multiply by 4: x = 20.
Question 7: If −2x + 5 = 13, what is the value of x?
- x = −4 (Correct answer)
- x = −9
- x = 4
- x = 9
Correct answer: x = −4
Subtract 5: −2x = 8; divide by −2: x = −4.
If 3x − 7 = 14, what is the value of x?