Equivalências Flashcards
(25 cards)
What is the definition of equivalence in mathematics?
Equivalence in mathematics refers to a relationship between two expressions that have the same value or represent the same quantity.
True or False: Two fractions are equivalent if they represent the same proportion.
True
Fill in the blank: Two numbers are equivalent if they can be expressed as ______.
the same decimal or fraction.
What is an example of equivalent fractions?
1/2 and 2/4 are equivalent fractions.
Which of the following pairs of numbers are equivalent? A) 3/6 and 1/2 B) 5/10 and 2/5 C) 4/8 and 2/4
A and C are equivalent.
What property states that if a = b, then a can be substituted for b in any expression?
The substitution property of equality.
True or False: The concept of equivalence applies only to numbers.
False
What is the significance of equivalent expressions in algebra?
They can be used interchangeably to simplify calculations and solve equations.
Fill in the blank: Equivalent angles are angles that have the same ______.
measure.
What is the equivalence relation in set theory?
An equivalence relation is a binary relation that is reflexive, symmetric, and transitive.
True or False: All equivalent ratios maintain the same relationship between the numerator and denominator.
True
What is an example of a pair of equivalent ratios?
4:2 and 2:1 are equivalent ratios.
What does it mean for two geometric figures to be equivalent?
They are equivalent if they have the same area or volume.
Which of the following is an example of an equivalent expression? A) 2(x + 3) and 2x + 6 B) 5 + 3 and 8 C) Both A and B
C) Both A and B
What is the definition of equivalent sets?
Two sets are equivalent if they have the same number of elements.
Fill in the blank: In logic, two statements are equivalent if they have the same ______.
truth value.
True or False: The equivalence of two algebraic expressions can be determined by simplifying both expressions.
True
What is the relationship between equivalent linear equations?
They graph to the same line on a coordinate plane.
What is the meaning of equivalent decimals?
Two decimals are equivalent if they represent the same value.
Fill in the blank: The equivalence of two variables can be shown through ______.
substitution.
What is the role of equivalent expressions in solving equations?
They allow for manipulation and simplification to find solutions.
True or False: All equivalent fractions can be reduced to their simplest form.
True
What is the formula for finding equivalent fractions?
Multiply or divide the numerator and denominator by the same non-zero number.
What does it mean for two algebraic expressions to be equivalent?
They yield the same output for all values of their variables.
