Exercises for Question Type 2: Solving equations with the absolute value of the whole function - IB | RevisionDojo

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Question Type 2: Solving equations with the absolute value of the whole function

Question Type 2: Solving equations with the absolute value of the whole function Exercises

Question 1

Solve the equation $\displaystyle \left\lvert \frac{6x+9}{x-4}\right\rvert = 1$ .

[5]

Question 2

Solve the equation $\displaystyle \left\lvert \frac{4x+7}{x-3}\right\rvert = 4$ .

[4]

Question 3

Solve the equation $\displaystyle \left\lvert \frac{x-1}{x+2}\right\rvert = 3$ .

[5]

Question 4

Solve the equation $\displaystyle \left\lvert \frac{3x+1}{2x-5}\right\rvert = 3$ .

[3]

Question 5

Solve the equation $\displaystyle \left\lvert \frac{2x-3}{x+1}\right\rvert = 1$ .

[4]

Question 6

Solve the equation $\displaystyle \left\lvert \frac{x+3}{4x-5}\right\rvert = \frac{7}{2}$ .

[5]

Question 7

Solve the equation $\displaystyle \left\lvert \frac{x+5}{x-2}\right\rvert = 2$ .

[5]

Question 8

Solve the equation $\left\lvert \frac{5x-2}{3x+1}\right\rvert = \frac{2}{3}$

[5]

Question 9

Solve the equation $\displaystyle \left\lvert \frac{x-4}{2x+3}\right\rvert = \frac{1}{2}$ .

[4]

Question 10

Solve the equation $\displaystyle \left\lvert \frac{2x+5}{5x-2}\right\rvert = \frac{1}{4}$ .

[5]

Question 11

Solve the equation $\displaystyle \left\lvert \frac{8x-1}{x-1}\right\rvert = 3$ .

[5]

Question 12

Solve the equation $\displaystyle \left\lvert \frac{7x-14}{2x+1}\right\rvert = 5$ . [5 marks]

[5]