Summary

This document is a homework assignment with math problems focused on graphing linear equations and solving quadratic equations. Students are asked to graph two equations, identify the intersection point, solve quadratics using different methods (factorization and the quadratic formula), and work through simultaneous equation problems. This practice is suitable for secondary school students.

Full Transcript

**Homework Task 7 Name:** **Distributed:** Week 7 -- Last Lesson (end of lesson) **Due:** Week 8 - Last Lesson (beginning of lesson) Task: Attempt every question in the **Must Do** section, **Extension** is optional. IDK is not an attempt, please come and see me if you have any questions. **Mus...

**Homework Task 7 Name:** **Distributed:** Week 7 -- Last Lesson (end of lesson) **Due:** Week 8 - Last Lesson (beginning of lesson) Task: Attempt every question in the **Must Do** section, **Extension** is optional. IDK is not an attempt, please come and see me if you have any questions. **Must Do:** +-----------------------------------------------------------------------+ | **Question 1** | | | | Graph the following 2 equations [*y* = 2*x* + 1]{.math.inline} and | | [*y* =  − 2*x* + 5]{.math.inline}, between the values -3 and 3 for | | [*x*]{.math.inline}. ([ − 3 ≤ *x* ≤ 3]{.math.inline}). Identify the | | intersecting point. | +=======================================================================+ | ----------------------------------------------- | | \ | | [**x**]{.math.display}\ | | -------------------------- -- -- -- -- -- -- -- | | \ | | [**y**]{.math.display}\ | | | | ----------------------------------------------- | | | | ----------------------------------------------- | | \ | | [**x**]{.math.display}\ | | -------------------------- -- -- -- -- -- -- -- | | \ | | [**y**]{.math.display}\ | | | | ----------------------------------------------- | +-----------------------------------------------------------------------+ | **Question 2** | | | | Solve the following quadratic using the quadratic formula | | | | \ | | [0 = *x*^2^ − 5*x* − 24]{.math.display}\ | +-----------------------------------------------------------------------+ | | +-----------------------------------------------------------------------+ **Extension:** +-----------------------------------------------------------------------+ | **Question 1** | | | | Solve the following simultaneous equations algebraically: | | | | \ | | [*y* = 4*x* + 1]{.math.display}\ | | | | \ | | [*y* =  − 2*x* + 9]{.math.display}\ | +=======================================================================+ | | +-----------------------------------------------------------------------+ | **Question 2** | | | | Solve the following quadratic using factorisation | | | | \ | | [0 = *x*^2^ − 5*x* − 24]{.math.display}\ | +-----------------------------------------------------------------------+ | | +-----------------------------------------------------------------------+

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