Bluebook SAT Test Linear Equations in One Variable 5 — Questions and Answers
Question 1: Solve for x: 2(3x − 4) = 4x + 6
- x = 1
- x = 5
- x = 7 (Correct answer)
- x = 14
Correct answer: x = 7
Expand: 6x − 8 = 4x + 6; subtract 4x: 2x = 14; x = 7.
Question 2: A number is 3 more than twice another number. The sum of the two numbers is 21. What is the larger number?
- 6
- 9
- 12
- 15 (Correct answer)
Correct answer: 15
Let n = smaller; larger = 2n + 3. Then 3n + 3 = 21 → n = 6; larger = 15.
Question 3: If 5x − 2 = 3x + 10, what is the value of x + 1?
- 6
- 7 (Correct answer)
- 8
- 13
Correct answer: 7
2x = 12 → x = 6; x + 1 = 7.
Question 4: The perimeter of a rectangle is 38 cm. The length is 5 cm more than the width. What is the width?
- 7 cm (Correct answer)
- 9 cm
- 12 cm
- 14 cm
Correct answer: 7 cm
2(w + w + 5) = 38 → 2(2w + 5) = 38 → 4w + 10 = 38 → 4w = 28 → w = 7.
Question 5: Solve for x: 10 − (2x + 3) = 1
- x = 1
- x = 3 (Correct answer)
- x = 6
- x = −6
Correct answer: x = 3
Distribute the negative: 7 − 2x = 1 → 2x = 6 → x = 3.
Question 6: A store prices jeans at $45 after a 10% markdown. What was the original price?
- $40.50
- $49.50
- $50.00 (Correct answer)
- $55.00
Correct answer: $50.00
0.90p = 45 → p = 50.
Question 7: If (x + 3)/2 = (2x − 1)/3, what is x?
- x = 5
- x = 11 (Correct answer)
- x = 17
- x = 23
Correct answer: x = 11
Cross-multiply: 3(x+3) = 2(2x−1) → 3x+9 = 4x−2 → 11 = x.
Bluebook SAT Test Linear Equations in One Variable 5
Solve for x: 2(3x − 4) = 4x + 6