Mathematics Concepts and Formulas Quiz

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Questions and Answers

What is the absolute value?

The distance a number is from zero on a number line.

What is the absolute value function in regression?

f(x)=|x|

What shape does the graph of an absolute value function take?

V shape

What is the formula for the area of a square?

A=s² Signup and view all the answers

What is the formula for the area of a rectangle?

A=lw Signup and view all the answers

What is the formula for the area of a triangle?

A=1/2 bh Signup and view all the answers

What is an arithmetic sequence?

A sequence in which the difference between any two consecutive terms is the same. Signup and view all the answers

What is the axis of symmetry?

A line that divides a plane figure or a graph into two congruent reflected halves. Signup and view all the answers

What is a binomial?

A polynomial with two terms. Signup and view all the answers

What does a box plot represent?

Data is shown using the median and range of a data set. Signup and view all the answers

What is causation?

A cause and effect relationship in which one variable controls the changes in another variable. Signup and view all the answers

What is a coefficient?

A number multiplied by a variable in an algebraic expression. Signup and view all the answers

What does completing the square mean?

A process used to make a quadratic expression into a perfect square trinomial. Signup and view all the answers

What is compound interest?

Interest paid on interest previously earned. Signup and view all the answers

What are consecutive integers?

Integers in counting order, such as 4, 5, 6. Signup and view all the answers

What are consecutive even integers?

Even numbers that follow each other on a number line. Signup and view all the answers

What are consecutive odd integers?

Odd numbers that follow each other on a number line. Signup and view all the answers

What is a constant?

A term without a variable. Signup and view all the answers

What is correlation?

A measure of the relationship between two variables. Signup and view all the answers

What is the correlation coefficient?

Statistical measures of the degree of association between two variables. Signup and view all the answers

What is the cubic function?

f(x)=x^3 Signup and view all the answers

What is the cube root function?

f(x)=3√x Signup and view all the answers

What is the degree of a polynomial?

The greatest degree of any term in the polynomial. Signup and view all the answers

What is a dependent variable?

A variable whose value depends on that of another. Signup and view all the answers

What is direct variation?

The relationship between two variable quantities that have a constant ratio. Signup and view all the answers

What is the discriminant?

A function of the coefficients of a polynomial equation whose value gives information about the roots of the polynomial. Signup and view all the answers

What is the domain of a function?

All the possible x-values of a function. Signup and view all the answers

What is a dot plot?

A graphical display of data using dots. Signup and view all the answers

What is an equation?

A mathematical sentence that contains an equals sign. Signup and view all the answers

What does 'equivalent to' mean?

The same as. Signup and view all the answers

What is an explicit formula?

Describes the nth term of a sequence using the number n. Signup and view all the answers

What is an exponential function?

A function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b>0, and b ≠ 1. Signup and view all the answers

What is the exponential graph formula?

y=a(b)^x Signup and view all the answers

What is the exponential growth function formula?

y = a(1 + r)^t, where a >0. Signup and view all the answers

What is the exponential decay function formula?

y = a(1- r)^t, where a >0. Signup and view all the answers

What is an expression in mathematical terms?

A mathematical phrase that contains operations, numbers, and/or variables. Signup and view all the answers

What is factoring?

To express a polynomial as the product of monomials and polynomials. Signup and view all the answers

What is a geometric sequence?

There is a pattern in which you multiply or divide by a common number. Signup and view all the answers

What is the greatest common factor (GCF)?

The largest factor that two or more numbers have in common. Signup and view all the answers

What is a histogram?

Used when data is continuous; the bars touch each other. Signup and view all the answers

What is an independent variable?

A variable whose variation does not depend on that of another. Signup and view all the answers

What are inequalities?

Algebraic statements that have ≠, <, ≤, or ≥ as their symbols of comparison. Signup and view all the answers

What is a system of inequalities?

Similar to systems of equations, but have shaded regions for their solutions. Signup and view all the answers

Study Notes

Absolute Value

Represents the distance from zero on a number line.
Mathematical representation: f(x) = |x|.
Graphically depicted as a V shape.

Area Formulas

Square: ( A = s^2 ), where s is the length of a side.
Rectangle: ( A = lw ), where l is length and w is width.
Triangle: ( A = \frac{1}{2} bh ), where b is base and h is height.

Sequences and Series

An Arithmetic Sequence has a constant difference between consecutive terms.
A Geometric Sequence involves multiplying or dividing by a common factor.

Graphical Concepts

Axis of Symmetry divides a figure into two equal halves.
Box Plot (or box and whisker plot) summarizes data using quartiles, highlighting median and range.
Dot Plot visually represents data points using dots.

Relations and Functions

Causation indicates a direct cause-and-effect relationship between variables.
Correlation measures the degree of relationship between two variables, quantified by the correlation coefficient.
Dependent Variable (y) changes in response to another variable.
Independent Variable (x) stands alone and isn't affected by other variables.

Polynomials and Expressions

A Binomial consists of two terms.
The highest term's exponent defines the Degree of a Polynomial.
Factoring involves rewriting a polynomial as a product of simpler polynomials.

Interest and Growth

Compound Interest refers to earning interest on previously earned interest.
Exponential Growth Function is represented by ( y = a(1 + r)^t ) with a positive initial value.
Exponential Decay Function uses ( y = a(1 - r)^t ) for a declining value.

Special Functions

Cubic Function is expressed as ( f(x) = x^3 ).
Cube Root Function is represented by ( f(x) = \sqrt[3]{x} ).
The Exponential Function has the form ( f(x) = ab^x ) where a is non-zero and b is a positive number not equal to one.

Key Definitions

A mathematical Expression comprises numbers, variables, and operations but lacks an equals sign.
An Equation equates two expressions using an equals sign.
Inequalities provide comparison using symbols like <, >, ≤, or ≥.

Other Concepts

Completing the Square transforms a quadratic expression into a perfect square trinomial.
Correlation Coefficient quantifies how closely two variables move in relation to each other.
The Discriminant provides insights into the nature of a polynomial's roots based on its coefficients.

Additional Notions

Consecutive Integers are counting numbers in sequence, while Consecutive Even/Odd Integers follow their respective sequences.
A Constant is a term that has no variable component.
Understanding Systems of Inequalities is essential for visualizing solutions, which are represented by shaded regions in graphs.

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Description

Test your knowledge on essential mathematics concepts including absolute value, area formulas, sequences, and graphical representations. This quiz covers a variety of topics that are fundamental to understanding mathematics and its applications.