Fill in the blanks: 1. Use the distributive property to remove the grouping symbols. 2. An inequality is a mathematical sentence that contains <, >, ≤, or ≥. 3. When you multiply... Fill in the blanks: 1. Use the distributive property to remove the grouping symbols. 2. An inequality is a mathematical sentence that contains <, >, ≤, or ≥. 3. When you multiply or divide each side of an inequality by a positive number, the inequality symbol remains the same. 4. When you multiply or divide each side of an inequality by a negative number, the inequality symbol must be reversed. 5. When an equation has no solution is called a null or empty set, shown by the symbol ∅ or {}. 6. An equation that is true for every value of the variable is called an identity. 7. To multiply fractions, multiply the numerators and then multiply the denominators. 8. To divide by a fraction, multiply by its multiplicative inverse. 9. To add or subtract fractions with like denominators, add or subtract the numerators and write the sum or difference over the denominator. 10. To add or subtract fractions with unlike denominators, rename the fractions with the least common denominator. Then add or subtract.

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Understand the Problem

The question is a fill-in-the-blanks exercise covering fundamental concepts in algebra and arithmetic. It tests the understanding of properties like the distributive property, inequalities, operations with fractions, and the definitions of mathematical terms like identity and null set.

Answer

Completed sentences provided based on the fill in the blanks questions.

Here are the completed sentences:

  1. Use the distributive property to remove the grouping symbols.
  2. An inequality is a mathematical sentence that contains <, >, ≤, or ≥.
  3. When you multiply or divide each side of an inequality by a positive number, the inequality symbol remains the same.
  4. When you multiply or divide each side of an inequality by a negative number, the inequality symbol must be reversed.
  5. When an equation has no solution is called a null or empty set, shown by the symbol ∅ or {}.
  6. An equation that is true for every value of the variable is called an identity.
  7. To multiply fractions, multiply the numerators and then multiply the denominators.
  8. To divide by a fraction, multiply by its multiplicative inverse.
  9. To add or subtract fractions with like denominators, add or subtract the numerators and write the sum or difference over the denominator.
  10. To add or subtract fractions with unlike denominators, rename the fractions with the least common denominator. Then add or subtract.
Answer for screen readers

Here are the completed sentences:

  1. Use the distributive property to remove the grouping symbols.
  2. An inequality is a mathematical sentence that contains <, >, ≤, or ≥.
  3. When you multiply or divide each side of an inequality by a positive number, the inequality symbol remains the same.
  4. When you multiply or divide each side of an inequality by a negative number, the inequality symbol must be reversed.
  5. When an equation has no solution is called a null or empty set, shown by the symbol ∅ or {}.
  6. An equation that is true for every value of the variable is called an identity.
  7. To multiply fractions, multiply the numerators and then multiply the denominators.
  8. To divide by a fraction, multiply by its multiplicative inverse.
  9. To add or subtract fractions with like denominators, add or subtract the numerators and write the sum or difference over the denominator.
  10. To add or subtract fractions with unlike denominators, rename the fractions with the least common denominator. Then add or subtract.

More Information

This covers basic algebra topics, fractions and inequalities.

Tips

Pay attention to key words in math problems to correctly utilize the formulas. For example, distributive property, inequality, like/unlike denominators.

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