Solving Equations in Algebra
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Questions and Answers

What is the purpose of an equation in algebra?

  • To model real-world situations
  • Both a and c (correct)
  • To perform arithmetic calculations
  • To represent a mathematical statement of equality
  • What is a variable in an algebraic equation?

  • A symbol representing a constant value
  • A symbol representing a fixed number
  • A symbol representing an unknown quantity (correct)
  • A symbol representing a known quantity
  • What is the process of finding the values that make an equation true called?

  • Solving the equation (correct)
  • Simplifying the equation
  • Evaluating the equation
  • Factoring the equation
  • Which property allows you to add the same quantity to both sides of an equation?

    <p>Property 1</p> Signup and view all the answers

    What does it mean when two equations are called equivalent?

    <p>They have the same solutions or roots</p> Signup and view all the answers

    If A = 2x + 3 and B = 4x - 1, which property would you use to solve A + B = 11?

    <p>Both a and c</p> Signup and view all the answers

    What does 'LHS' stand for in the context of checking answers for linear equations?

    <p>Left-hand side</p> Signup and view all the answers

    If an equation contains fractions, what is the recommended step before solving it?

    <p>Multiply each side by the lowest common denominator</p> Signup and view all the answers

    Which of the following is a linear equation?

    <p>$3x - 2 = x - 1$</p> Signup and view all the answers

    What property is being used when solving an equation by performing the same operation on both sides?

    <p>Properties of equality</p> Signup and view all the answers

    In the equation $\frac{6x}{3} - \frac{2}{4} = \frac{9x}{4}$, what is the lowest common denominator (LCD)?

    <p>12</p> Signup and view all the answers

    What type of equation is $x^2 - 2x - 8 = 0$?

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

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