# How Well Do You Know Advanced Equations & Functions?

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How well do you know advanced equations & functions? an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. While a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

• 1.

### ..... are also called unknowns.

• A.

Variables

• B.

Coefficients

• C.

Constants

• D.

Operators

A. Variables
Explanation
Variables are also called unknowns because they represent unknown quantities or values in mathematical equations or problems. They are typically represented by letters or symbols and can take on different values depending on the context of the problem. By solving for the variables, we can determine their values and find solutions to the equations or problems.

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• 2.

### Variables are also called unknowns and the values of the unknowns which satisfy the equality are called ....

• A.

Operators

• B.

Constants

• C.

Solutions

• D.

Coefficients

C. Solutions
Explanation
Variables are unknowns because their values are not specified initially. The values of the unknowns that satisfy the equality are called solutions. These solutions are the values that make the equation true when substituted into the variables. Therefore, "solutions" is the correct answer to describe the values of the unknowns that satisfy the equality.

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• 3.

### There are how many kinds of equation?

• A.

One

• B.

Two

• C.

Three

• D.

Four

B. Two
Explanation
There are two kinds of equations. This implies that equations can be categorized into two distinct types based on their characteristics or properties. The question does not provide further details about the specific types of equations, but it is clear that there are only two options to choose from.

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• 4.

### An equation is written as how many expressions?

• A.

Two

• B.

One

• C.

Four

• D.

Three

A. Two
Explanation
An equation is written as two expressions because it consists of two sides, each containing an expression, that are separated by an equal sign. The left side represents one expression and the right side represents another expression. These two expressions are equated, or set equal to each other, in an equation.

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• 5.

### In modern mathematics, a function is defined by its set of inputs, called the ....

• A.

Codomain

• B.

Graph

• C.

Formulae

• D.

Domain

D. Domain
Explanation
A function is defined by its set of inputs, called the domain. The domain is the set of all possible values that can be inputted into the function. It represents the independent variable in the function and determines the range of the function, which is the set of all possible outputs. Therefore, the correct answer is domain.

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• 6.

### A set containing the set of outputs, and possibly additional elements, as members, called its .....

• A.

Domain

• B.

Codomain

• C.

Graph

• D.

Formulae

B. Codomain
Explanation
The set containing the set of outputs, and possibly additional elements, as members is called the codomain. The codomain is the set of all possible values that the function can output. It includes all the elements in the range of the function, as well as any additional elements that may not have corresponding inputs.

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• 7.

### The set of all input-output pairs, called its ....

• A.

Graph

• B.

Domain

• C.

Codomain

• D.

Formulae

A. Graph
Explanation
The correct answer is "graph". In this context, a graph refers to a visual representation of the input-output pairs of a function. It shows the relationship between the inputs and outputs, allowing us to understand how the function behaves and make predictions about its behavior. The graph helps us visualize the function's domain and codomain, as well as any patterns or trends that may exist in the data.

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• 8.

### The input to a function is called the ....

• A.

Value

• B.

Argument

• C.

Domain

• D.

Codomain

B. Argument
Explanation
The input to a function is referred to as the argument. This is because the argument is the value that is passed into the function for it to perform its operations on. The function then uses this argument to produce a corresponding output or result. Therefore, the correct answer is "argument".

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• 9.

### The output is called the ....

• A.

Value

• B.

Argument

• C.

Domain

• D.

Codomain

A. Value
Explanation
The output of a function is commonly referred to as its "value".

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• 10.

### Mathematics is usually studied at the .....

• A.

School

• B.

Museum

• C.

Church

• D.

Mosque

A. School
Explanation
Mathematics is usually studied at school because it is a fundamental subject taught in educational institutions. School provides a structured environment for students to learn and understand mathematical concepts, theories, and problem-solving techniques. It is the most common and appropriate place for students to receive formal education in mathematics, as it offers specialized teachers, resources, and curriculum designed to enhance mathematical skills and knowledge. Museum, church, and mosque are not typically associated with the study of mathematics.

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