AlgebraMediumA number from two equal descriptions
Algebra practice question
Three less than four times a number is the same as eleven more than twice the number. What is the number?
Answer: 7
4n − 3 = 2n + 11, so 2n = 14 and n = 7.
Common wrong answers
- If you answered 4
- 4 comes from 4n − 3 = 2n + 11 solved as 2n = 8 (subtracting 3 instead of adding).
- If you answered -7
- −7 comes from moving the terms with the wrong signs.
- If you answered 2.3
- 2.3 comes from 6n = 14, adding 2n instead of subtracting.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
Which of the following describes all solutions to 4x − 9 ≤ 2x + 5? - Medium
A phone's battery percentage is modeled by P = 100 − 8t, where t is the number of hours since it was unplugged… - Medium
If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
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