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?
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What is the formula for the area of a rectangle?
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What is the formula for the area of a triangle?
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What is an arithmetic sequence?
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What is the axis of symmetry?
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What is a binomial?
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What does a box plot represent?
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What is causation?
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What is a coefficient?
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What does completing the square mean?
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What is compound interest?
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What are consecutive integers?
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What are consecutive even integers?
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What are consecutive odd integers?
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What is a constant?
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What is correlation?
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What is the correlation coefficient?
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What is the cubic function?
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What is the cube root function?
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What is the degree of a polynomial?
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What is a dependent variable?
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What is direct variation?
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What is the discriminant?
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What is the domain of a function?
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What is a dot plot?
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What is an equation?
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What does 'equivalent to' mean?
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What is an explicit formula?
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What is an exponential function?
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What is the exponential graph formula?
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What is the exponential growth function formula?
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What is the exponential decay function formula?
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What is an expression in mathematical terms?
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What is factoring?
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What is a geometric sequence?
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What is the greatest common factor (GCF)?
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What is a histogram?
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What is an independent variable?
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What are inequalities?
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What is a system of inequalities?
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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.