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 (D)</p> Signup and view all the answers

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

<p>Optional tasks for additional practice (D)</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 (B)</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 (C)</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 (A)</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 (A), 4 (B)</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 (A), 5 (C)</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 (B)</p> Signup and view all the answers

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

<p>3 (D)</p> Signup and view all the answers

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

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

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

<p>4 (D)</p> Signup and view all the answers

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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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