## Questions and Answers

What is the definition of absolute value?

What does the additive identity property state?

What is the additive inverse?

The opposite of a number

What is an algebraic expression?

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Define an arithmetic sequence.

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What does ascending order mean?

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Which property states that changing the grouping does not change the sum or product?

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What are axes in a coordinate plane?

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What is the axis of symmetry?

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Define a binomial.

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What is a boundary in math?

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What does a box-and-whisker plot summarize?

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Define a circle graph.

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What is a coefficient in algebra?

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What is a common difference?

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Define common ratio.

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What does the commutative property state?

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What is a composite number?

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What is compound interest?

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Define conjugates in algebra.

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What are consecutive integers?

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What does consistent mean in systems of equations?

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What is meant by a constant?

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What is the coordinate plane?

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Define a coordinate system.

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What is the cube root?

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What does data refer to in statistics?

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What is the degree of a monomial?

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What is the degree of a polynomial?

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What is a dependent variable?

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Define dependent in terms of systems of equations.

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What does descending order mean?

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Define the difference of squares.

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What is dilation in geometry?

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What is direct variation?

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What does a discount refer to?

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What is the distance formula?

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What is the distributive property?

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What does domain refer to in functions?

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What is an element in set theory?

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Define elimination in the context of solving equations.

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What is an equation?

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What does evaluate mean in mathematics?

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What are excluded values?

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Define exponential decay.

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What is an exponential function?

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What does exponential growth refer to?

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What is an extraneous solution?

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Define factored form.

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What is factoring by grouping?

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What does factoring mean in algebra?

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What is a family of graphs?

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What does the FOIL method stand for?

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What is a formula in mathematics?

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What does frequency mean in statistics?

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Define function notation.

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What is a function?

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What are geometric means?

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Define a geometric sequence.

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What is a graph in mathematics?

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What is the greatest common factor (GCF)?

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What is a half-plane in geometry?

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What is a hypotenuse?

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What is identity in mathematics?

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Define image in transformation.

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What does inconsistent mean in system solving?

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What is an independent variable?

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What is an independent system of equations?

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Define inductive reasoning.

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What is an inequality?

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Define an integer.

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What is interest in finance?

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What is interquartile range?

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What is the inverse relation?

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Define inverse variation.

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What is an irrational number?

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What are legs in a right triangle?

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What are like terms in algebra?

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What is a line graph?

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What is a line of best fit?

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What is a linear equation?

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What is linear extrapolation?

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What is linear interpolation?

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What is the lower quartile (LQ)?

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What is mapping in relation to functions?

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What is markup?

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What is a matrix?

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What is maximum in graphing?

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Define mean in mathematics.

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What are measures of central tendency?

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Define measures of variation.

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What is the median?

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What is a midpoint?

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Define minimum in graphing.

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What are misleading graphs?

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What is a mixture problem in mathematics?

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What does mode refer to in statistics?

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Define a monomial.

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What is the multiplicative identity property?

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What is the multiplicative inverse property?

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## Study Notes

### Absolute Value

- Measures the distance of a number from zero on a number line.

### Additive Identity Property

- States that any number or variable added to zero remains unchanged.

### Additive Inverse

- Refers to the opposite of a number, when added together they yield zero.

### Algebraic Expression

- A mathematical phrase that includes numbers, variables, and operations.

### Arithmetic Sequence

- A sequence where each term is generated by adding or subtracting a constant value.

### Ascending Order

- Arrangement of numbers from least to greatest.

### Associative Property

- Demonstrates that grouping does not affect the sum or product, expressed as (a+b) + c = a + (b+c).

### Axes

- The two perpendicular lines (x-axis and y-axis) that create the coordinate plane.

### Axis of Symmetry

- The vertical line that divides a parabola into two mirrored halves; determined by the formula x = -b/2a.

### Binomial

- A sum or difference comprised of two monomials.

### Boundary

- A line or curve that distinguishes different regions within the coordinate plane.

### Box-and-Whisker Plot

- Visual representation summarizing data through median, quartiles, and extremes.

### Circle Graph

- A circular diagram that illustrates data proportions relative to a whole.

### Coefficient

- The numerical factor preceding a variable in a term.

### Common Difference

- The consistent difference between consecutive terms in an arithmetic sequence.

### Common Ratio

- The constant factor by which each term in a geometric sequence is multiplied.

### Commutative Property

- Indicates that changing the order of addition or multiplication does not affect the outcome, such as a + b = b + a.

### Composite Number

- A whole number greater than 1 with more than two factors.

### Compound Interest

- Investment growth described by the formula A = P (1 + (r/n))^(nt), representing interest accrued on principal over time.

### Conjugates

- Binomials structured as a√b + c√d and a√b - c√d, whose product yields a rational number.

### Consecutive Integers

- A sequence of integers listed in counting order.

### Consistent

- Refers to systems of equations with intersecting or coinciding graphs.

### Constant

- A monomial representing a real number without any variable.

### Coordinate Plane

- The two-dimensional space created by the intersection of the x-axis and y-axis.

### Coordinate System

- A grid formed by two intersecting number lines.

### Cube Root

- One of the three identical factors of a given number.

### Data

- Quantitative information collected for analysis.

### Degree of a Monomial

- Calculated as the total of all variable exponents in the term.

### Degree of a Polynomial

- Defined by the highest degree of any individual term within the polynomial.

### Dependent Variable

- A variable whose value is influenced by another variable.

### Dependent

- Situations with infinitely many solutions in systems of equations.

### Descending Order

- Arrangement of numbers from greatest to least.

### Difference of Squares

- Formed by the subtraction of two perfect squares.

### Dilation

- Transformation that enlarges or reduces a figure.

### Direct Variation

- Expressed as y = kx, with a constant k not equal to zero.

### Discount

- The reduction applied to the regular price of an item.

### Distance Formula

- Formula to calculate distance between two points: d = √((x2 - x1)² + (y2 - y1)²).

### Distributive Property

- States a(b + c) = ab + ac, allowing distribution of a term across terms within parentheses.

### Domain

- The set of all possible first components in ordered pairs.

### Element

- Each individual object or number within a set.

### Elimination

- A method solving systems of equations by eliminating one variable through addition or subtraction.

### Equation

- A mathematical statement asserting that two quantities are equal.

### Evaluate

- The process of substituting variable values to determine an expression's outcome.

### Excluded Values

- Values that create a denominator of zero must be excluded from the variable's domain.

### Exponential Decay

- Describes situations where an initial quantity diminishes over time, represented by y = C (1 - r)^t.

### Exponential Function

- Can be represented mathematically as y = a*b^x, where b > 0 and b ≠ 1.

### Exponential Growth

- Depicts a situation in which an initial amount increases consistently over time: y = C (1 + r)^t.

### Extraneous Solution

- An outcome derived from an equation that does not satisfy the original problem.

### Factored Form

- Represents a monomial as a product of primes and variables with no variable exponent exceeding one.

### Factoring by Grouping

- Utilizes the distributive property to factor polynomials with four or more terms.

### Factoring

- The process of expressing a polynomial as a product of monomials or lower-degree polynomials.

### Family of Graphs

- Graphs sharing at least one common characteristic.

### FOIL Method

- A technique for multiplying two binomials through specific term pairing; stands for First, Outer, Inner, Last.

### Formula

- An equation that describes the relationship between specific quantities.

### Frequency

- The occurrences of specific data within a set.

### Function Notation

- A method of naming functions represented by equations.

### Function

- A relation where each input correlates to exactly one output.

### Geometric Means

- Terms inserted between nonconsecutive terms in a geometric sequence to maintain proportionality.

### Geometric Sequence

- A sequence where each term follows by multiplying by a constant factor post the first non-zero term.

### Graph

- Visual depictions representing data relationships.

### Greatest Common Factor (GCF)

- The product of shared prime factors among two or more monomials.

### Half-Plane

- The section of a graph representing a half-region defined by an inequality.

### Hypotenuse

- Longest side of a right triangle, opposite the right angle.

### Identity

- An equation valid for all variable values.

### Image

- The result of a transformation of a geometric figure.

### Inconsistent

- Occurs when graphed equations do not intersect and are parallel.

### Independent Variable

- A variable that influences or determines others' values.

### Independent

- System of equations yielding exactly one solution.

### Inductive Reasoning

- Forming conclusions based on observed patterns.

### Inequality

- A comparison of two quantities using inequality symbols (<, >, ≤, ≥).

### Integer

- Whole numbers that can be negative, positive, or zero, excluding fractions and decimals.

### Interest

- Fees earned or paid for the utilization of capital.

### Interquartile Range

- The difference between upper (UQ) and lower quartiles (LQ) of a data set.

### Inverse Relation

- Ordered pairs created by switching original pair coordinates.

### Inverse Variation

- Expressed as y = k/x, with k not equal to zero.

### Irrational Number

- A number that cannot be precisely represented as a fraction.

### Legs

- The sides that create the right angle in a right triangle.

### Like Terms

- Terms sharing identical variables, with corresponding exponents remaining the same.

### Line Graph

- A graph illustrating data variations over time.

### Line of Best Fit

- A line on a scatter plot indicating correlation between two data sets, synonymous with a regression line.

### Linear Equation

- An equation yielding a straight-line graph.

### Linear Extrapolation

- Using a linear equation to predict values outside the data range.

### Linear Interpolation

- Using a linear equation to estimate values within the data range.

### Lower Quartile (LQ)

- Median of the lower segment of a dataset.

### Mapping

- Illustration of domain elements paired with range counterparts.

### Markup

- The increase in an item's price over its cost.

### Matrix

- A structured arrangement of numbers presented in rows and columns.

### Maximum

- The highest value on a parabola's graph.

### Mean

- The average value calculated by the total of data divided by the data count.

### Measures of Central Tendency

- Statistical values representing a dataset's overall characteristics.

### Measures of Variation

- Figures showcasing the data's spread or distribution.

### Median

- The central value of a dataset; average of the two center values if needed.

### Midpoint

- The precise halfway point between two endpoints on a line segment.

### Minimum

- The lowest point on a parabola’s graph.

### Misleading Graphs

- Graphs with improper construction that lead to misunderstanding and incorrect interpretations.

### Mixture Problem

- A scenario where multiple components are blended to form a complete entity.

### Mode

- The value(s) that appear most frequently in a dataset.

### Monomial

- Consists of a single number, variable, or a product comprising numbers and variables.

### Multiplicative Identity Property

- Any number multiplied by one remains unchanged.

### Multiplicative Inverse Property

- A relationship where the product of a number and its reciprocal equals one.

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## Description

Explore key terms in Algebra I with these flashcards. Each card contains a word along with its definition to help you understand fundamental concepts in algebra. Perfect for students looking to reinforce their vocabulary skills.