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Absolute value - MYP Questionbank | RevisionDojo

Practice Absolute value 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

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 2

Which of the following values cannot be the result of an absolute value operation for a real number?

Question 3

True or False: The identity $|x| = \sqrt{x^2}$ is valid for all real numbers $x$ .

Question 4

For any non-zero real number ${x}$ , simplify the following expression:

\frac{|-3x^2|}{|x|}

Question 5

Evaluate the expression $3|x| - |x|$ when $x = -4$ .

Question 6

A swimming pool manager maintains the pH level of the water at a target of $7.4$ . An automated alarm is triggered if the absolute difference between the actual pH and the target is strictly greater than $0.2$ . Which of the following pH levels will trigger the alarm?

Question 7

A machinist is producing a metal rod that is required to be $150\text{ mm}$ long. The quality control department allows for an absolute error of at most $0.02\text{ mm}$ . Which interval represents the range of acceptable lengths $L$ ?

Question 8

Consider the following statement:

"For any real number $x$ , the absolute value $|x|$ represents the distance from $x$ to $0$ on the number line."

Which of the following is correct regarding this statement?

Question 9

Simplify the following expression for any non-zero real number $x$ :

\frac{|-10x|}{|2x|}

Question 10

Fill in the blank: For any real numbers $a$ and $b$ , the identity property for multiplication is $|ab| = \_\_\_\_\_\_$ .

Type

Difficulty

Question 1

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 2

Which of the following values cannot be the result of an absolute value operation for a real number?

Question 3

True or False: The identity $|x| = \sqrt{x^2}$ is valid for all real numbers $x$ .

Question 4

For any non-zero real number ${x}$ , simplify the following expression:

\frac{|-3x^2|}{|x|}

Question 5

Evaluate the expression $3|x| - |x|$ when $x = -4$ .

Question 6

Question 7

Question 8

Consider the following statement:

"For any real number $x$ , the absolute value $|x|$ represents the distance from $x$ to $0$ on the number line."

Which of the following is correct regarding this statement?

Question 9

Simplify the following expression for any non-zero real number $x$ :

\frac{|-10x|}{|2x|}

Question 10

Fill in the blank: For any real numbers $a$ and $b$ , the identity property for multiplication is $|ab| = \_\_\_\_\_\_$ .

Type

Difficulty

Question 1

Based on the properties of absolute value and square roots in the real number system, which of the following expressions is defined as a real number for all real values of $k$ ?

Question 2

Which of the following values cannot be the result of an absolute value operation for a real number?

Question 3

True or False: The identity $|x| = \sqrt{x^2}$ is valid for all real numbers $x$ .

Question 4

For any non-zero real number ${x}$ , simplify the following expression:

\frac{|-3x^2|}{|x|}

Question 5

Evaluate the expression $3|x| - |x|$ when $x = -4$ .

Question 6

Question 7

Question 8

Consider the following statement:

"For any real number $x$ , the absolute value $|x|$ represents the distance from $x$ to $0$ on the number line."

Which of the following is correct regarding this statement?

Question 9

Simplify the following expression for any non-zero real number $x$ :

\frac{|-10x|}{|2x|}

Question 10

Fill in the blank: For any real numbers $a$ and $b$ , the identity property for multiplication is $|ab| = \_\_\_\_\_\_$ .

Absolute value Questionbank