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Linear and Quadratic Equations · Question 10 of 66

Question 10

MediumOriginal question

Three more than twice a number is equal to five less than four times the same number. What is the number?

-1

Correct answerYour answer

\frac{1}{3}

Correct answerYour answer4Correct answerYour answer8Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Let the number be $x$ . Then $2x + 3 = 4x - 5$ .
Move terms: $3 + 5 = 4x - 2x$ , so $2x = 8$ .
The number is 4. Check: $2(4) + 3 = 11$ and $4(4) - 5 = 11$ .

Worth noting

“Five less than four times” is $4x - 5$ , not $5 - 4x$ (which gives $\frac{1}{3}$ ). 8 is $2x$ , not $x$ .

Concept: Translating a sentence into a linear equation
Typical timeTypical: 70 s
Your timeYours: —

The rule this testsLinear equations in one variable

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