Fractions and Decimal Numbers

What does a fraction represent?

An imaginary number
A part of a whole (correct)
A multiple of a whole
A whole number

How is a fraction written?

With a quotient and a remainder
With a divisor and an index
With a numerator and an exponent
With a numerator and a denominator (correct)

What is the meaning of the term 'fraction'?

A representation of two numbers multiplied together
A numerical representation indicating the quotient of two numbers (correct)
A whole number
An expression of two numbers divided by each other

In everyday English, how is a fraction described?

As a part of a whole (B) Signup and view all the answers

What does the numerator represent in a fraction?

The number of equal parts (D) Signup and view all the answers

How are fractions used in real life?

To describe parts of a whole (B) Signup and view all the answers

What method can be used to solve a system of linear equations without graphing?

Substitution method (B) Signup and view all the answers

Which step is involved in solving a system of linear equations by substitution?

Solving one equation for either variable (A) Signup and view all the answers

Why does the substitution method work for solving systems of linear equations?

Because it always leads to a unique solution (B) Signup and view all the answers

What is the first step in using the substitution method to solve a system of linear equations?

Solve one of the equations for either variable (B) Signup and view all the answers

What is the goal when using the substitution method to solve a system of equations?

To reduce two equations with two variables to a single equation with one variable (D) Signup and view all the answers

What happens after solving one of the equations for a variable in the substitution method?

The variable is substituted into a new equation (D) Signup and view all the answers

What is the focus of algebra?

Manipulation of symbols known as variables (B) Signup and view all the answers

Which branch of algebra introduces basic concepts like solving equations and graphing linear equations?

Elementary algebra (C) Signup and view all the answers

What are abstract algebraic structures like groups, rings, and fields?

Abstract concepts (C) Signup and view all the answers

What is the foundation of all sciences and many aspects of engineering and technology?

Algebra (C) Signup and view all the answers

What does elementary algebra cover in addition to solving equations and graphing linear equations?

Factoring polynomials (D) Signup and view all the answers

In everyday English, how is abstract algebra best described?

'Advanced' algebra (C) Signup and view all the answers

What is the meaning of the word 'algebra'?

Restoration and reunion (D) Signup and view all the answers

In which field is algebra NOT commonly applied?

Biology (D) Signup and view all the answers

Who is NOT mentioned as a significant contributor to the study of algebra?

Euclid (D) Signup and view all the answers

How is algebra essential in computer science?

For representing and solving problems in algorithms and data structures (B) Signup and view all the answers

What does the word 'algebra' mean?

Restoration and reunion (C) Signup and view all the answers

What is the primary use of algebra in business and economics?

Modeling and analyzing financial and economic systems (D) Signup and view all the answers

What is the historical origin of the word 'algebra'?

Arabic origin (B) Signup and view all the answers

Which field does NOT utilize algebra for problem-solving?

Chemistry (A) Signup and view all the answers

What contribution did mathematician Leonhard Euler make to algebra?

Made significant contributions to algebraic theory (A) Signup and view all the answers

In what context is algebra NOT commonly used?

Analyzing historical data (D) Signup and view all the answers