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

Question 1

Skill question

Solve the equation $\frac{6 x + 9}{x - 4} = 1$ .

[5]

Question 2

Skill question

Solve the equation $\frac{4 x + 7}{x - 3} = 4$ .

[4]

Question 3

Skill question

Solve the equation $\frac{x - 1}{x + 2} = 3$ .

[5]

Question 4

Skill question

Solve the equation $\frac{3 x + 1}{2 x - 5} = 3$ .

[3]

Question 5

Skill question

Solve the equation $\frac{2 x - 3}{x + 1} = 1$ .

[4]

Question 6

Skill question

Solve the equation $\frac{x + 3}{4 x - 5} = \frac{7}{2}$ .

[5]

Question 7

Skill question

Solve the equation $\frac{x + 5}{x - 2} = 2$ .

[5]

Question 8

Skill question

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

[5]

Question 9

Skill question

Solve the equation $\frac{x - 4}{2 x + 3} = \frac{1}{2}$ .

[4]

Question 10

Skill question

Solve the equation $\frac{2 x + 5}{5 x - 2} = \frac{1}{4}$ .

[5]

Question 11

Skill question

Solve the equation $\frac{8 x - 1}{x - 1} = 3$ .

[5]

Question 12

Skill question

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

[5]

IB Mathematics Analysis and Approaches Question Type 2: Solving Equations with the Absolute Value of the Whole Function Exercises