Math Gr 8 Ch 8: Equations
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Questions and Answers

What is the definition of an equation?

  • A mathematical statement that asserts the inequality of two expressions, and it is always false.
  • A mathematical statement that asserts the equality of two expressions, but it is always true.
  • A mathematical statement that asserts the equality of two expressions, and it is true for some numbers and false for others. (correct)
  • A mathematical statement that asserts the equality of two variables, and it is always true.

    • What does solving an equation involve?

  • Finding the value(s) of the variable(s) that are not in the equation.
  • Finding the value(s) of the variable(s) that make the equation true. (correct)
  • Finding the value(s) of the variable(s) that are not related to the equation.
  • Finding the value(s) of the variable(s) that make the equation false.

    • What are additive inverses?

  • Numbers that subtract to give zero.
  • Numbers that add up to one.
  • Numbers that add up to zero. (correct)
  • Numbers that multiply to give one.

    • What is the purpose of using additive inverses in solving equations?

    <p>To move constants to the other side of the equation.</p> Signup and view all the answers

    What does 'doing' refer to in the context of solving equations?

    <p>Evaluating an expression by substituting a variable with a value.</p> Signup and view all the answers

    What is the final step in solving an equation using inverses?

    <p>Using multiplicative inverses to solve for the variable.</p> Signup and view all the answers

    Which of the following is an example of 'undoing' in the context of solving equations?

    <p>Finding the original value of a variable that produces a given result.</p> Signup and view all the answers

    What is the purpose of using multiplicative inverses in solving equations?

    <p>To solve for the variable by multiplying both sides of the equation.</p> Signup and view all the answers

    Which of the following equations are equivalent?

    <p>3x - 2 = 7 and 3x + 2 = 13</p> Signup and view all the answers

    What is the first step in solving an equation by inspection?

    <p>Check if substituting a specific value of x makes the equation true.</p> Signup and view all the answers

    Which of the following is an example of 'doing' in the context of solving equations?

    <p>Evaluating an expression by substituting a value of x.</p> Signup and view all the answers

    Why do we use additive inverses in solving equations?

    <p>To move constants to the other side of an equation.</p> Signup and view all the answers

    What is the main difference between an equation and an expression?

    <p>An equation is a statement of equality, whereas an expression is not.</p> Signup and view all the answers

    Which of the following is NOT a step in solving an equation using inverses?

    <p>Graph the equation to find the solution.</p> Signup and view all the answers

    What is the main advantage of using inverses to solve equations?

    <p>It allows us to easily isolate the variable.</p> Signup and view all the answers

    What is the relationship between two equations that have the same solution?

    <p>They are equivalent.</p> Signup and view all the answers

    What is the main difference between 'doing' and 'undoing' in the context of solving equations?

    <p>'Doing' is used to evaluate an expression, whereas 'undoing' is used to solve an equation.</p> Signup and view all the answers

    What is the purpose of 'thinking forwards and backwards' in solving equations?

    <p>To understand the relationship between the equation and its solution.</p> Signup and view all the answers

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