Gr 10 Math Ch 2: Literal Equations
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Questions and Answers

What is the first step when solving a literal equation for an unknown variable?

  • Factor the equation completely.
  • Isolate the variable by performing the opposite operation. (correct)
  • Eliminate all variables except the unknown.
  • Combine like terms on one side of the equation.

    • When taking the square root of both sides of an equation, what do you need to remember?

  • There will be a positive and a negative answer. (correct)
  • You must ignore the negative root.
  • You only find the positive root.
  • The equation does not change.

    • If the unknown variable appears in the denominator of a literal equation, what is the proper method to isolate it?

  • Substituting the denominator with a constant.
  • Adding the denominator to both sides.
  • Dividing both sides by the denominator.
  • Multiplying both sides by the lowest common denominator (LCD). (correct)

    • What should you do if an unknown variable is present in two or more terms in a literal equation?

    <p>Factor it out as a common factor.</p> Signup and view all the answers

    Solving a literal equation is often referred to as what?

    <p>Changing the subject of the formula.</p> Signup and view all the answers

    Which of the following is an example of a literal equation?

    <p>A = rac{1}{2}bh</p> Signup and view all the answers

    What is the primary goal when rearranging a literal equation?

    <p>To isolate the unknown variable</p> Signup and view all the answers

    When the unknown variable is involved in two terms, what approach should be taken?

    <p>Factor out the variable as a common factor</p> Signup and view all the answers

    Upon taking the square root of both sides of an equation, which outcome should be anticipated?

    <p>Both positive and negative answers must be considered</p> Signup and view all the answers

    What is the effect of having the unknown variable in the denominator of an equation?

    <p>The variable can be eliminated by multiplying by the lowest common denominator</p> Signup and view all the answers

    How does one determine the appropriate operation to perform when isolating the unknown variable?

    <p>Ask what the variable is joined to and how it is joined</p> Signup and view all the answers

    What does solving a literal equation relate to in terms of mathematical processes?

    <p>Changing the subject of the formula</p> Signup and view all the answers

    How should you approach a literal equation when the unknown variable appears across multiple terms?

    <p>The unknown should be factored out from the equation.</p> Signup and view all the answers

    What must be done to both sides of the equation when the unknown variable is located in the denominator?

    <p>Multiply both sides by the lowest common denominator.</p> Signup and view all the answers

    What consequence should be considered when taking the square root of both sides of a literal equation?

    <p>Both positive and negative solutions must be included.</p> Signup and view all the answers

    What is the essential skill required to isolate the unknown variable in a literal equation?

    <p>Recognizing which operation will simplify the statement.</p> Signup and view all the answers

    Which of the following is a key consideration when solving for an unknown variable in a literal equation?

    <p>One must ensure fractions are eliminated for clarity.</p> Signup and view all the answers

    In the process of solving a literal equation, what is often overlooked by students?

    <p>The need to check the final answer by substituting back.</p> Signup and view all the answers

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