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Functions and Quadratic Relationships - MYP Questionbank | RevisionDojo

Practice Functions and Quadratic Relationships 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

Determine whether the following statement is true or false:

The expression $f(x) = (x-3)(x+3) + 9$ simplifies to a linear expression.

Question 2

Which of the following is the correct factorization of the expression $1 - 64x^2$ ?

Question 3

Which of the following is the correct expansion of the expression $(x+4)^2$ ?

Question 4

Factorize the quadratic expression $x^2 + 4x - 21$ .

Question 5

Factorize the expression $50x^2 - 72$ completely.

Question 6

If the discriminant $\Delta$ of the quadratic equation $ax^2 + bx + c = 0$ is exactly equal to $b^2$ , which of the following is a necessary conclusion about the solutions of the equation?

Question 7

Which of the following quadratic functions has the narrowest graph?

Question 8

True or False: In a mapping diagram, if there is an element in the input set (Domain) that does not have an arrow originating from it, the relationship is still considered a function as long as no other input has more than one arrow.

Question 9

Find the values of $k$ such that the equation $x^2 - kx + 9 = 0$ has exactly one real solution.

Question 10

Find the exact solutions for the quadratic equation $2m^2-14m+23=0$ using the quadratic formula.

Type

Difficulty

Question 1

Determine whether the following statement is true or false:

The expression $f(x) = (x-3)(x+3) + 9$ simplifies to a linear expression.

Question 2

Which of the following is the correct factorization of the expression $1 - 64x^2$ ?

Question 3

Which of the following is the correct expansion of the expression $(x+4)^2$ ?

Question 4

Factorize the quadratic expression $x^2 + 4x - 21$ .

Question 5

Factorize the expression $50x^2 - 72$ completely.

Question 6

If the discriminant $\Delta$ of the quadratic equation $ax^2 + bx + c = 0$ is exactly equal to $b^2$ , which of the following is a necessary conclusion about the solutions of the equation?

Question 7

Which of the following quadratic functions has the narrowest graph?

Question 8

Question 9

Find the values of $k$ such that the equation $x^2 - kx + 9 = 0$ has exactly one real solution.

Question 10

Find the exact solutions for the quadratic equation $2m^2-14m+23=0$ using the quadratic formula.

Type

Difficulty

Question 1

Determine whether the following statement is true or false:

The expression $f(x) = (x-3)(x+3) + 9$ simplifies to a linear expression.

Question 2

Which of the following is the correct factorization of the expression $1 - 64x^2$ ?

Question 3

Which of the following is the correct expansion of the expression $(x+4)^2$ ?

Question 4

Factorize the quadratic expression $x^2 + 4x - 21$ .

Question 5

Factorize the expression $50x^2 - 72$ completely.

Question 6

If the discriminant $\Delta$ of the quadratic equation $ax^2 + bx + c = 0$ is exactly equal to $b^2$ , which of the following is a necessary conclusion about the solutions of the equation?

Question 7

Which of the following quadratic functions has the narrowest graph?

Question 8

Question 9

Find the values of $k$ such that the equation $x^2 - kx + 9 = 0$ has exactly one real solution.

Question 10

Find the exact solutions for the quadratic equation $2m^2-14m+23=0$ using the quadratic formula.

Functions and Quadratic Relationships Questionbank