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

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

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

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

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

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

<p>c (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 (D)</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 (D)</p> Signup and view all the answers

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

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

What technique is suggested for solving equations involving fractions efficiently?

<p>Cross-dividing (B)</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 (D)</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 (D)</p> Signup and view all the answers

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