Evaluating Expressions Word Problems

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Questions: 10 | Attempts: 61 | Updated: Mar 22, 2023

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Evaluating Expressions Word Problems - Quiz

In mathematics and computer science, a word problem for a set S with respect to a system of finite encodings of its elements is the algorithmic problem of deciding whether two given representatives represent the same element of the set.

Questions and Answers

1.

Word problems is a topic in ....
- A.
  
  Mathematics
- B.
  
  Language
- C.
  
  Literature
- D.
  
  Music
Correct Answer
A. Mathematics

Explanation
The correct answer is Mathematics because word problems are a common component of mathematical problem-solving. They require students to apply mathematical concepts and skills to real-life situations, making connections between abstract mathematical concepts and the real world. Word problems often involve interpreting and analyzing information, identifying relevant mathematical operations, and solving equations or inequalities to find a solution. Therefore, word problems are a fundamental part of the study of mathematics.

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2.

Word problems could be taught in ....
- A.
  
  Biology
- B.
  
  Music
- C.
  
  Sociology
- D.
  
  Computer science
Correct Answer
D. Computer science

Explanation
Word problems could be taught in computer science because computer science involves problem-solving and logical thinking, which are essential skills for solving word problems. Additionally, computer science often requires the ability to break down complex problems into smaller, more manageable parts, which is a valuable skill when solving word problems.

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3.

The problem is commonly encountered in ....
- A.
  
  Abstract algebra
- B.
  
  Abstract proportions
- C.
  
  Decimals
- D.
  
  Ratio
Correct Answer
A. Abstract algebra

Explanation
This problem is commonly encountered in abstract algebra. Abstract algebra is a branch of mathematics that deals with mathematical structures and their properties. It involves studying algebraic structures such as groups, rings, and fields, and their operations and properties. This problem likely involves applying abstract algebraic concepts and principles to solve a mathematical problem or prove a theorem.

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1
0
4.

The problem is commonly encountered in abstract algebra, where given a presentation of an algebraic structure by .....
- A.
  
  Lambda calculus
- B.
  
  Combinatory logic
- C.
  
  Generators
- D.
  
  Turing machines
Correct Answer
C. Generators

Explanation
The correct answer is "generators". In abstract algebra, a presentation of an algebraic structure is often given by generators, which are elements that can generate the entire structure through various operations. These generators serve as a basis for understanding and analyzing the structure, allowing for the exploration of its properties and relationships. By identifying and studying the generators, one can gain insight into the structure's behavior and characteristics.

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5.

The problem is commonly encountered in abstract algebra, where given a presentation of an algebraic structure by generators and .....?
- A.
  
  Relators
- B.
  
  Lambda calculus
- C.
  
  Combinatory logic
- D.
  
  Turing machines
Correct Answer
A. Relators

Explanation
In abstract algebra, a presentation of an algebraic structure is often given by generators and relators. The generators are the elements that can be used to generate the structure, and the relators are the equations or identities that these generators must satisfy. The relators provide additional information about the structure and help define its properties and relationships between the generators. Therefore, the correct answer is "relators".

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6.

The problem is to determine if .... expressions represent the same element
- A.
  
  One
- B.
  
  Two
- C.
  
  Three
- D.
  
  Four
Correct Answer
B. Two
7.

Mathematics is usually taught in .....
- A.
  
  School
- B.
  
  Museum
- C.
  
  Home
- D.
  
  Restaurant
Correct Answer
A. School

Explanation
Mathematics is usually taught in school because it is a subject that requires a structured and formal learning environment. Schools provide the necessary resources such as textbooks, teachers, and classrooms to effectively teach mathematics. Additionally, schools offer a curriculum that is designed to progressively build upon mathematical concepts, allowing students to develop their skills and understanding over time. Mathematics is not typically taught in a museum, home, or restaurant as these environments may not have the necessary educational resources or expertise to provide a comprehensive mathematical education.

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8.

Word problems is a sub-topic under .....?
- A.
  
  Decimals
- B.
  
  Algebra
- C.
  
  Ratio
- D.
  
  Proportions
Correct Answer
B. Algebra

Explanation
Word problems is a sub-topic under algebra because it involves using mathematical equations and expressions to solve real-life problems. In word problems, we often translate the given information into algebraic equations and then solve them to find the unknown variables. This requires understanding and applying algebraic concepts such as variables, equations, and systems of equations. Therefore, algebra is the correct sub-topic under which word problems fall.

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9.

Which of them is a scientist?
- A.
  
  Will Smith
- B.
  
  Shawn Carter
- C.
  
  Donald Trump
- D.
  
  Pythagoras
Correct Answer
D. Pythagoras

Explanation
Pythagoras is the correct answer because he was a Greek mathematician and philosopher who is best known for the Pythagorean theorem in geometry. He made significant contributions to mathematics and is considered one of the founding fathers of Western mathematics. On the other hand, Will Smith and Shawn Carter are both well-known entertainers, and Donald Trump is a businessman and former president of the United States.

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10.

..... is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems
- A.
  
  A mathematician
- B.
  
  A doctor
- C.
  
  An engineer
- D.
  
  An accountant
Correct Answer
A. A mathematician

Explanation
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems. This profession requires a deep understanding of mathematical concepts and principles, as well as the ability to apply them in practical situations. Mathematicians often work in research, academia, or industry, and their expertise is crucial in various fields such as physics, computer science, and finance. They use their mathematical skills to analyze data, develop algorithms, and solve complex problems, making them essential contributors to advancements in science and technology.

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