PSAT Math Multiple-Choice Question 722: Answer and Explanation
Question: 722
What values of y satisfy this system of equations?
x = y2 - 3y + 1
2x = 10
- A. -4 and 2
- B. -1 and 4
- C. 3 and 4
- D. 6 and 10
Correct Answer: B
Explanation:
(B) The easiest method is to substitute x into the first equation.
2x = 10 → x = 5
Substitute 5 into the first equation:
5 = y2 - 3y + 1 → y2 - 3y - 4 = 0 →
Factor it: (y + 1)(y - 4) = 0
Therefore, the solutions are -1 and 4.
Test Information
- Use your browser's back button to return to your test results.
- Do more Math Multiple-Choice Tests tests.
More Tests
- PSAT Math Multiple-Choice Test 1
- PSAT Math Multiple-Choice Test 2
- PSAT Math Multiple-Choice Test 3
- PSAT Math Multiple-Choice Test 4
- PSAT Math Multiple-Choice Test 5
- PSAT Math Multiple-Choice Test 6
- PSAT Math Multiple-Choice Test 7
- PSAT Math Multiple-Choice Test 8
- PSAT Math Multiple-Choice Test 9
- PSAT Math Multiple-Choice Test 10
- PSAT Math Multiple-Choice Test 11
- PSAT Math Multiple-Choice Test 12
- PSAT Math Multiple-Choice Test 13
- PSAT Math Multiple-Choice Test 14
- PSAT Math Multiple-Choice Test 15
- PSAT Math Multiple-Choice Test 16
- PSAT Math Multiple-Choice Test 17
- PSAT Math Multiple-Choice Test 18
- PSAT Math Multiple-Choice Test 19
- PSAT Math Multiple-Choice Test 20
- PSAT Math Multiple-Choice Test 21
- PSAT Math Multiple-Choice Test 22
- PSAT Math Multiple-Choice Test 23
- PSAT Math Multiple-Choice Test 24
- PSAT Math Multiple-Choice Test 25