Proving Statements

Quiz Flashcard

Questions

Settings

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

Select the correct answer from the choices provided.

Questions and Answers

1.

There is a unique real number 0 such that for every real number a, a + 0 = a and 0 + a = a.
- A.
  
  Associate Axiom for addition
- B.
  
  Axiom of Opposites
- C.
  
  Identity Axiom for Addition
Correct Answer
C. Identity Axiom for Addition
2.

For all real number a and b: a + b = b + a ab = ba
- A.
  
  Commutative Axioms
- B.
  
  Multiplicative Property of Zero
- C.
  
  Axioms of Reciprocals
Correct Answer
A. Commutative Axioms
3.

There is a unique real number 1 such that for every real number a, a 1 = a and 1 a = a.
- A.
  
  Identity Axiom for Multiplication
- B.
  
  Commutative Axioms
- C.
  
  Associative Axiom for Multiplication
Correct Answer
A. Identity Axiom for Multiplication
4.

For all real numbers a, b, and c: (a + b) + c = a + (b + c)
- A.
  
  Axiom of Closure
- B.
  
  Associative Axiom for Addition
- C.
  
  Distributive Axiom
Correct Answer
B. Associative Axiom for Addition
5.

If a, b, and c are any real numbers and a = b, then: a + c = b + c and c + a = c + b.
- A.
  
  Addition Property of Equality
- B.
  
  Identity Axiom of Addition
- C.
  
  Associative Axiom for Addition
Correct Answer
A. Addition Property of Equality
6.

For all real numbers, a, b, and c: If a = b, then b = a.
- A.
  
  Axiom of Equality for Reflexive Property
- B.
  
  Axiom of Equality for Symmetric Property
- C.
  
  Axiom of Equality for Transitive Property
Correct Answer
B. Axiom of Equality for Symmetric Property
7.

For all real numbers, a, b, and c: If a = b and b =c, then a = c
- A.
  
  Axiom of Equality for Reflexive Property
- B.
  
  Axiom of Equality for Symmetric Property
- C.
  
  Axiom of Equality for Transitive Property
Correct Answer
C. Axiom of Equality for Transitive Property
8.

For every real number a; there is a unique real number -a such that: a + (-a) = 0 and -a + a = 0
- A.
  
  Identity Axiom for Addition
- B.
  
  Opposite Axiom
- C.
  
  Commutative Axioms
Correct Answer
B. Opposite Axiom
9.

For every real number a, a (-1) = -a and (-1) a = -a.
- A.
  
  Multiplicative Property of Zero
- B.
  
  Identity Axiom for Multiplication
- C.
  
  Multiplicative Property of -1
Correct Answer
C. Multiplicative Property of -1
10.

For every nonzero real number a, there is a unique real number such that: a = 1 and a = 1.
- A.
  
  Multiplicative Property of Zero
- B.
  
  Axiom of Reciprocals
- C.
  
  Property of the Reciprocal of a Product
Correct Answer
B. Axiom of Reciprocals
11.

Select the missing reason from the choices below.
- A.
  
  Identity axiom for multiplication
- B.
  
  Rule for subtraction
- C.
  
  Subtraction property of equality
Correct Answer
C. Subtraction property of equality
12.

Select the missing reason from the choices below.
- A.
  
  Property of the reciprocal of a product
- B.
  
  Commutative axiom
- C.
  
  Axiom of reciprocals
Correct Answer
C. Axiom of reciprocals

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Jul 09, 2017

Quiz Edited by
ProProfs Editorial Team
Jun 22, 2012

Quiz Created by

Proving Statements

There is a unique real number 0 such that for every real number a, a + 0 = a and 0 + a = a.

For all real number a and b: a + b = b + a ab = ba

There is a unique real number 1 such that for every real number a, a 1 = a and 1 a = a.

For all real numbers a, b, and c: (a + b) + c = a + (b + c)

If a, b, and c are any real numbers and a = b, then: a + c = b + c and c + a = c + b.

For all real numbers, a, b, and c: If a = b, then b = a.

For all real numbers, a, b, and c: If a = b and b =c, then a = c

For every real number a; there is a unique real number -a such that: a + (-a) = 0 and -a + a = 0

For every real number a, a (-1) = -a and (-1) a = -a.

For every nonzero real number a, there is a unique real number such that: a = 1 and a = 1.

Select the missing reason from the choices below.

Select the missing reason from the choices below.