Algebra Class Linear and Quadratic Equations
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Questions and Answers

What should a student do if they do not understand how to attempt a question?

  • Discuss it with classmates
  • Leave it blank
  • Guess the answer
  • Ask the teacher for help (correct)
  • What is required in the 'Must Do' section of the homework task?

  • Both Question 1 and Question 2 (correct)
  • Just identification of intersecting points
  • Only Question 2
  • Extension questions only
  • How will the intersecting point of the equations y = 2x + 1 and y = -2x + 5 be identified?

  • By graphing both equations and finding the overlap (correct)
  • By calculating the slopes of both lines
  • By using the quadratic formula
  • By solving for y when x = 0
  • What is the correct range for the variable x when graphing the equations y = 2x + 1 and y = -2x + 5?

    <p>-3 to 3</p> Signup and view all the answers

    What does the term 'Extension' in the homework task imply?

    <p>Optional tasks for additional practice</p> Signup and view all the answers

    To solve the quadratic presented in Question 2, which tool is indicated to be used?

    <p>Quadratic formula</p> Signup and view all the answers

    What is meant by 'IDK is not an attempt' in the context of the homework task?

    <p>Students must provide a valid answer instead</p> Signup and view all the answers

    Which of the following correctly describes the due date for Homework Task 7?

    <p>Week 8 - Beginning of Lesson</p> Signup and view all the answers

    What is the solution for x in the equation $0 = x^2 - 5x - 24$ using factorization?

    <p>-6</p> Signup and view all the answers

    What values of y do you get from the simultaneous equations y = 4x + 1 and y = -2x + 9?

    <p>13</p> Signup and view all the answers

    Which of the following is a step in solving the quadratic equation $0 = x^2 - 5x - 24$?

    <p>Set the equation to zero and factor</p> Signup and view all the answers

    When solving the simultaneous equations, what is the value of x?

    <p>3</p> Signup and view all the answers

    How can you express the equation $0 = x^2 - 5x - 24$ in its factored form?

    <p>$(x + 4)(x - 6) = 0$</p> Signup and view all the answers

    Which method can be implemented to find the intersection point of the lines represented by the simultaneous equations?

    <p>Direct substitution</p> Signup and view all the answers

    If you solve $0 = x^2 - 5x - 24$ using the quadratic formula, what will be the discriminant value?

    <p>49</p> Signup and view all the answers

    What is the slope of the line represented by the equation y = 4x + 1?

    <p>4</p> Signup and view all the answers

    Study Notes

    Homework Task 7

    • Due by the beginning of the lesson in week 8
    • Consists of two sections: Must Do and Extension
    • Must Do section contains two questions
    • Extension section contains two questions
    • Students must attempt all Must Do questions
    • Extension questions are optional
    • Students who are unsure of how to answer questions should ask the teacher for help

    Must Do Question 1

    • Requires graphing two linear equations: y = 2x + 1 and y =  − 2x + 5
    • The equations should be graphed between the values -3 and 3 for x
    • Students must identify the intersecting point

    Must Do Question 2

    • Requires solving the quadratic equation 0 = x^2^ − 5x − 24
    • Solve using the quadratic formula

    Extension Question 1

    • Requires solving two simultaneous equations algebraically
    • Equations are y = 4x + 1 and y =  − 2x + 9

    Extension Question 2

    • Requires solving the quadratic equation 0 = x^2^ − 5x − 24
    • Solve using factorisation

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    Related Documents

    Homework Task 7 PDF

    Description

    This homework task focuses on graphing linear equations and solving quadratic equations. Students are required to graph two linear equations to find their intersection and apply the quadratic formula to solve a specific quadratic equation. Optional extension questions delve into simultaneous equations and an alternate method for solving quadratics.

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