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Linear equations - MYP Questionbank | RevisionDojo

Practice Linear equations with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

Question 2

Solve the following linear equation for $x$ :

$4x + 7 = x - 2$

Question 3

A car rental company charges a flat fee of $50 plus $0.20 per kilometer driven. Another company charges $30 plus $0.60 per kilometer. Which equation should be solved to find the distance $d$ (in km) at which both companies charge the same amount?

Question 4

Question

True or False: Two equations are called "equivalent" if they have exactly the same solution set.

Question 5

Solve the following linear equation for $x$ :

$10 - 2(x + 1) = 4$

Question 6

Determine whether the equation $\frac{4}{x} + 2 = 6$ is a linear equation and select the correct reasoning.

Question 7

Which of the following is considered a linear equation according to the definition?

Question 8

Solve the following linear equation for $x$ :

\frac{3x + 1}{4} = \frac{x - 2}{3}

Question 9

A graphical approach to solving the equation $3(x+2)-6 = 4(2x-3)+1$ involves finding the intersection of two lines. What part of the intersection point represents the solution to the equation?

Question 10

A technician is solving the equation $1.5x + 2 = 8$ . Which application of the multiplication principle would isolate the variable $x$ most effectively?

Type

Difficulty

Question 1

True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

Question 2

Solve the following linear equation for $x$ :

$4x + 7 = x - 2$

Question 3

Question 4

Question

True or False: Two equations are called "equivalent" if they have exactly the same solution set.

Question 5

Solve the following linear equation for $x$ :

$10 - 2(x + 1) = 4$

Question 6

Determine whether the equation $\frac{4}{x} + 2 = 6$ is a linear equation and select the correct reasoning.

Question 7

Which of the following is considered a linear equation according to the definition?

Question 8

Solve the following linear equation for $x$ :

\frac{3x + 1}{4} = \frac{x - 2}{3}

Question 9

A graphical approach to solving the equation $3(x+2)-6 = 4(2x-3)+1$ involves finding the intersection of two lines. What part of the intersection point represents the solution to the equation?

Question 10

A technician is solving the equation $1.5x + 2 = 8$ . Which application of the multiplication principle would isolate the variable $x$ most effectively?

Type

Difficulty

Question 1

True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

Question 2

Solve the following linear equation for $x$ :

$4x + 7 = x - 2$

Question 3

Question 4

Question

True or False: Two equations are called "equivalent" if they have exactly the same solution set.

Question 5

Solve the following linear equation for $x$ :

$10 - 2(x + 1) = 4$

Question 6

Determine whether the equation $\frac{4}{x} + 2 = 6$ is a linear equation and select the correct reasoning.

Question 7

Which of the following is considered a linear equation according to the definition?

Question 8

Solve the following linear equation for $x$ :

\frac{3x + 1}{4} = \frac{x - 2}{3}

Question 9

A graphical approach to solving the equation $3(x+2)-6 = 4(2x-3)+1$ involves finding the intersection of two lines. What part of the intersection point represents the solution to the equation?

Question 10

A technician is solving the equation $1.5x + 2 = 8$ . Which application of the multiplication principle would isolate the variable $x$ most effectively?

Linear equations Questionbank

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