Podcast
Questions and Answers
When does the direction of an inequality symbol change?
When does the direction of an inequality symbol change?
- When adding a negative number to both sides.
- When multiplying or dividing both sides by a negative number. (correct)
- When dividing both sides by a positive number.
- When multiplying both sides by a positive number.
What property is applied to eliminate grouping symbols in an equation?
What property is applied to eliminate grouping symbols in an equation?
- Commutative property
- Identity property
- Distributive property (correct)
- Associative property
What is the result when an equation is true for any value of its variable called?
What is the result when an equation is true for any value of its variable called?
- An identity (correct)
- A null set
- A contradiction
- A solution set
What is the result when an equation has no solution?
What is the result when an equation has no solution?
How do you divide by a fraction?
How do you divide by a fraction?
What should you do first when adding or subtracting fractions with unlike denominators?
What should you do first when adding or subtracting fractions with unlike denominators?
How do you add or subtract fractions that already have like denominators?
How do you add or subtract fractions that already have like denominators?
Which of the following is an example of an inequality?
Which of the following is an example of an inequality?
What is the first step in multiplying two fractions together?
What is the first step in multiplying two fractions together?
When solving the inequality $-2x > 6$, what operation must be performed that affects the inequality symbol?
When solving the inequality $-2x > 6$, what operation must be performed that affects the inequality symbol?
Flashcards
What is an inequality?
What is an inequality?
A mathematical statement that contains inequality symbols such as <, >, ≤, or ≥.
Inequality with a positive number
Inequality with a positive number
The inequality symbol stays the same.
Inequality with a negative number
Inequality with a negative number
The inequality symbol is reversed.
What is a null or empty set?
What is a null or empty set?
Signup and view all the flashcards
What is an identity?
What is an identity?
Signup and view all the flashcards
How to multiply fractions
How to multiply fractions
Signup and view all the flashcards
Divide by a fraction
Divide by a fraction
Signup and view all the flashcards
Fractions with like denominators
Fractions with like denominators
Signup and view all the flashcards
Fractions with unlike denominators
Fractions with unlike denominators
Signup and view all the flashcards
Study Notes
- Use the distributive property to remove grouping symbols.
- An inequality is a mathematical sentence using symbols such as <, >, ≤, or ≥.
- When multiplying or dividing an inequality by a positive number, the inequality symbol stays the same.
- When multiplying or dividing an inequality by a negative number, the inequality symbol is reversed.
- An equation with no solution is called a null or empty set, represented by the symbol ∅ or { }.
- An equation that is true for every value of the variable is called an identity.
- To multiply fractions, multiply the numerators, then multiply the denominators.
- To divide by a fraction, multiply by its multiplicative invers.
- When adding or subtracting fractions with like denominators, add or subtract the numerators and write the sum or difference over the denominator.
- When adding or subtracting fractions with unlike denominators, rename the fractions with the least common denominator, then add or subtract.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
