Bluebook SAT Test Linear Equations in One Variable 7 — Questions and Answers
Question 1: If 2(x + 5) = 3(x − 2), what is the value of x?
- x = 4
- x = 10
- x = 16 (Correct answer)
- x = −4
Correct answer: x = 16
Expand: 2x + 10 = 3x − 6; subtract 2x: 10 = x − 6; x = 16.
Question 2: A taxi charges $2.50 plus $1.80 per mile. The total fare was $11.50. How many miles did the passenger travel?
- 4 miles
- 5 miles (Correct answer)
- 6 miles
- 7 miles
Correct answer: 5 miles
2.50 + 1.80m = 11.50 → 1.80m = 9 → m = 5.
Question 3: For the equation ax + 6 = 18 to have the solution x = 4, what must a equal?
- a = 2
- a = 3 (Correct answer)
- a = 4
- a = 6
Correct answer: a = 3
4a + 6 = 18 → 4a = 12 → a = 3.
Question 4: Solve for x: (2x − 3)/5 = 3
- x = 6
- x = 9 (Correct answer)
- x = 12
- x = 15
Correct answer: x = 9
Multiply both sides by 5: 2x − 3 = 15; add 3: 2x = 18; x = 9.
Question 5: Marcus earns $15 per hour and has already earned $120 this week. How many more hours must he work to earn at least $195 total?
- 3 hours
- 4 hours
- 5 hours (Correct answer)
- 6 hours
Correct answer: 5 hours
Additional needed: (195 − 120)/15 = 75/15 = 5 hours.
Question 6: Solve for x: 6 − (3 − x) = 2x − 1
- x = 2
- x = 4 (Correct answer)
- x = −4
- x = 10
Correct answer: x = 4
Simplify left side: 3 + x = 2x − 1 → 4 = x.
Question 7: In the equation 5x − c = 2x + 9, if x = 4, what is the value of c?
- c = −1
- c = 3 (Correct answer)
- c = 7
- c = 11
Correct answer: c = 3
20 − c = 8 + 9 = 17 → c = 3.
Bluebook SAT Test Linear Equations in One Variable 7
If 2(x + 5) = 3(x − 2), what is the value of x?