Bluebook SAT Test Linear Equations in One Variable 10 — Questions and Answers
Question 1: If 4x + 5 = 2x + 17, what is the value of x²?
- 6
- 12
- 36 (Correct answer)
- 144
Correct answer: 36
4x − 2x = 17 − 5 → 2x = 12 → x = 6; x² = 36.
Question 2: A nurse gives patients 0.5 mg of medication per pound of body weight. A patient received 87.5 mg. How much does the patient weigh in pounds?
- 145
- 155
- 165
- 175 (Correct answer)
Correct answer: 175
0.5w = 87.5 → w = 175.
Question 3: Solve for m: 7 − 4m = 3m − 7
- −2
- 0
- 2 (Correct answer)
- 7
Correct answer: 2
7 + 7 = 3m + 4m → 14 = 7m → m = 2.
Question 4: A subscription service costs $8 per month after a one-time $20 registration fee. Jasmine has paid $68 in total. For how many months has she subscribed?
- 4
- 5
- 6
- 7 (Correct answer)
Correct answer: 7
8m + 20 = 68 → 8m = 48 → m = 6.
Question 5: If the equation kx − 4 = 2x + 8 has the solution x = 6, what is the value of k?
- 2
- 3
- 4 (Correct answer)
- 5
Correct answer: 4
6k − 4 = 12 + 8 → 6k = 24 → k = 4.
Question 6: Solve for x: 2(x − 3) + 5 = 3(x − 1) − 2
- −2
- 0
- 2
- 4 (Correct answer)
Correct answer: 4
2x − 6 + 5 = 3x − 3 − 2 → 2x − 1 = 3x − 5 → −x = −4 → x = 4.
Question 7: On a number line, point P is at position 3x − 1 and point Q is at position x + 9. If P and Q represent the same location, what is the position of the point?
- 5
- 9
- 14 (Correct answer)
- 16
Correct answer: 14
3x − 1 = x + 9 → 2x = 10 → x = 5; position = x + 9 = 14.
Bluebook SAT Test Linear Equations in One Variable 10
If 4x + 5 = 2x + 17, what is the value of x²?