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Linear and Quadratic Equations · Question 9 of 66

Question 9

MediumOriginal question

The equation kx+6=2x+18kx + 6 = 2x + 18 is satisfied by x=4x = 4. What is the value of kk?

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Put x=4x = 4: 4k+6=2(4)+18=264k + 6 = 2(4) + 18 = 26.

  2. So 4k=204k = 20, giving k=5k = 5.

Worth noting

Ignoring the 2x2x term gives 4k+6=184k + 6 = 18, i.e. 3. Forgetting to subtract the 6 gives 132\frac{13}{2}.

Concept
Finding an unknown coefficient from a given solution
Typical time
70 s
Your time
—
The rule this testsLinear equations in one variable
Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.

Practise this chapter →

Ten questions from Linear and Quadratic Equations, at your own pace.