Mathematical Modelling with Linear and Quadratic Functions — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 1)

Australian Curriculum (ACARA)

Grade 9

Mathematics

24 questions

Full mixed revision of mathematical modelling with linear and quadratic functions (ACARA AC9M9A05).

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Mathematical Modelling with Linear and Quadratic Functions

A revision worksheet on creating and interpreting linear and quadratic models, focusing on their graphs and properties. Total: 24 marks.

Section A: Multiple Choice Questions

Choose the one correct answer for each question.

Which of the following equations represents a quadratic function?

y = 3x - 1 y = 2x^2 + 3x - 1 y = 5/x y = x^3 + 2

What is the gradient of the linear function y = -3x + 5?

5 3 -3 2

The graph of a quadratic function is called a...

Straight line Circle Hyperbola Parabola

A linear model for the cost C of producing n items is given by C = 15n + 100. What does the value 100 represent?

The cost per item The number of items The fixed cost The total revenue

For the quadratic function y = -(x - 2)^2 + 3, the vertex is at...

(-2, 3) (2, -3) (2, 3) (-2, -3)

Section B: Fill in the Blanks

Complete each statement with the correct word or number.

Section C: True or False

Determine if each statement is true or false.

Section D: Short Answer

Write your answer in the space provided.

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