Solving Equations with Fractions
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Questions and Answers

What mathematical property is demonstrated by the second example involving addition?

  • Associative law for addition (correct)
  • Commutative property of addition
  • Associative law for multiplication
  • Distributive law for multiplication
  • In the third example involving multiplication, which property is illustrated?

  • Distributive law for multiplication
  • Commutative property of multiplication
  • Associative law for addition
  • Associative law for multiplication (correct)
  • What does the distributive law for multiplication allow you to do?

  • Rearrange numbers in any order
  • Combine numbers without changing the outcome
  • Group numbers differently
  • Multiply a number by a sum of numbers (correct)
  • Which law would be violated if the expressions didn't equal in the first example involving multiplication?

    <p>Associative law for multiplication</p> Signup and view all the answers

    What property allows you to simplify the expression 2×7=6+8 in the distribution process?

    <p>Distributive law for multiplication</p> Signup and view all the answers

    Which law is applied when regrouping numbers in the expression involving 4: (2×3)×4=2×(3×4)?

    <p>Associative law for multiplication</p> Signup and view all the answers

    What is the formula to calculate the mean from a grouped frequency distribution?

    <p>Divide the sum of products by the sum of frequencies</p> Signup and view all the answers

    When finding the mean, what should be divided by what according to the formula?

    <p>Divide the sum of products by the sum of frequencies</p> Signup and view all the answers

    In the Pythagorean Theorem, what does 'c' represent?

    <p>The hypotenuse (longest side)</p> Signup and view all the answers

    Which law states that changing the order of factors in multiplication does not change the product?

    <p>Commutative Law</p> Signup and view all the answers

    What does the Pythagorean Theorem help in finding in right triangles?

    <p>The missing side lengths</p> Signup and view all the answers

    What symbol is used to denote the hypotenuse in the Pythagorean Theorem?

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

    What should you do after isolating the variable on one side of an inequality?

    <p>Make the inequality sign opposite</p> Signup and view all the answers

    How can you check the validity of a solution to an equation involving fractions?

    <p>Substitute the solution back into the original equation</p> Signup and view all the answers

    What is the step after simplifying both sides of an inequality?

    <p>Reverse the inequality sign</p> Signup and view all the answers

    What technique is suggested for solving equations involving fractions efficiently?

    <p>Cross-dividing</p> Signup and view all the answers

    In grouped frequency distributions, what does the term 'mutually exclusive events' refer to?

    <p>Events that cannot happen at the same time</p> Signup and view all the answers

    What is the recommended process for calculating the mean from grouped data?

    <p>Use the sum of the class midpoints</p> Signup and view all the answers

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