PSAT Math Multiple-Choice Question 601: Answer and Explanation
Question: 601
What is the value of x in the following equation?
- A. 1
- B. -1
- C. 3
- D.
Correct Answer: B
Explanation:
(B)To add all of these fractions, you need a common denominator. The least common denominator for the three fractions is 16. However, because the other side has a denominator of 32, let's use 32 for ease. To convert to a fraction with a denominator of 32, multiply both the numerator and the denominator by 4. Thus,
becomes
. Similarly,
becomes
after multiplying both the numerator and denominator by 2. Finally,
becomes
after multiplying both the numerator and denominator by 16. Therefore, we're left with:
Combining like terms gives:
To isolate x, divide both sides by . Dividing by a fraction is the same as multiplying by its reciprocal, so you're left with:
So x = -1, or choice (B).
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