Advanced MathEasy–MediumSubtracting fractions with a variable
Advanced Math practice question
Which expression is equivalent to 5x/6 − x/3?
- A. x/2Correct
- B. 4x/3
- C. 2x/3
- D. 5x/18
Answer: A. x/2
Write both over 6: 5x/6 − 2x/6 = 3x/6 = x/2.
Why the other answers are wrong
- B. 4x/3
- 4x/3 subtracts the denominators (6 − 3) and the numerators (5 − 1) separately. Fractions need a common denominator first.
- C. 2x/3
- 2x/3 is 4x/6 — that's what you'd get from 5x/6 − x/6, treating x/3 as x/6.
- D. 5x/18
- 5x/18 multiplies the denominators; subtraction uses a common denominator, not a product.
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For x ≠ 0, which expression is equivalent to (x² + 3x) / x? - Easy–Medium
What are the solutions to the equation 2(x − 3)² − 32 = 0 ?
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