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

Solving a literal equation is often referred to as what?

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

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

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

What is the primary goal when rearranging a literal equation?

<p>To isolate the unknown variable (A)</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 (C)</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 (D)</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 (D)</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 (A)</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 (A)</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. (A)</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. (A)</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. (D)</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. (A)</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. (C)</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. (D)</p> Signup and view all the answers

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