Section 1
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"a" in y = a•b^x
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Cards (178)
Section 1
(50 cards)
"a" in y = a•b^x
the variable used to represent the initial amount in an exponential function
Common difference
the constant difference between consecutive terms in a sequence
Commission
the amount of money made from making a sale
Absolute value
the distance a number is from zero (y=|x|)
Coefficient
the "big" number in front of the variable
Elimination
used to solve a system of equations by adding the two equations in order to cancel out one of the variables
Domain of a function
all the possible x-values of a function (The domain of this situation is {1, 2, 3, ...}
Equation
has an equal sign
Congruent figures
figures that are the exact same size and shape
Boundary line
a line that borders the shaded region on the graph of linear inequalities
Degree of a monomial
the sum of the exponents of the variables (degree = 5)
Exponential growth
a situation that increases by the same factor each time; the growth rate is b > 1
Base of an exponential function
the growth rate (b) of an exponential function
"m" in y = mx + b
the variable used to represent the slope of a line
Exponential function
Breakeven point
the point in which cost = profit
Discount
the amount that can be taken off of the original amount
Corresponding parts
the parts of a figure that have the same relative position
Common ratio
the ratio of a term in a geometric sequence with the previous term (1:2 = 1/2)
Coordinates
the ordered pair that represents a point (x, y)
Axis of symmetry
a line that divides a parabola in two equal halves and goes through the vertex
Constant term
a term with no variable part; a value that stays the same (2x + 3 where 3 is the constant term)
"b" in y = a•b^x
the variable used to represent the growth rate in an exponential function
Distributive property
a(b + c) = ab + ac
Associative property
(a+b)+c=a+(b+c)
Binomial
an expression that contains two terms
Factor
an expression that is part of a product; (2x - 1) and (x - 1) are factors
Degree of a polynomial
the greatest degree of the terms of a polynomial (degree = 5)
Factor completely
to factor a polynomial until all factors are prime
Direct variation
a linear relationship that can be modeled with y = kx
Area
the amount of space within a 2-dimensional figure
Function
for every input (x) there is only one output (y); All the x-values have to be different The y-values don't matter.
Exponent
the "little" number in a power (x)
Denominator
the bottom part of a fraction
Evaluate
to find the value of an expression by substituting a numbers in for the variables
Complementary
two angles that add to be 90 degrees
Base of a power
the "big" number in a power (b)
Difference
the answer to subtraction
Algebraic expression
contains numbers, variables, and operations (no equal sign)
Factoring
to find the factors of a polynomial; (2x-1)(x-1) is the factored form
Dependent variable
the variable (output) that depends on the value of the independent variable (input) - "Cost" is the dependent variable in this situation.
Decay rate
the rate at which an exponential function is reduced
Equivalent expressions
two expressions that are equal (3x + 5 = 2x - 6)
"b" in y = mx + b
the variable used to represent the y-intercept in a linear function
Circumference
the distance around a circle
Constant of variation
the "k" value that remains the same in direct (y = kx) or inverse variation (xy = k)
Exponential decay
a situation that decreases by the same factor each time; the growth rate is 0 < b < 1
Formula
an equation that can be used to find a specified value
Commutative property
a+b=b+a
Correlation
the relationship between a set of data; it can be positive, negative, constant, or no correlation
Section 2
(50 cards)
Hyperbola
the graph of an inverse relationship
Line of best fit
a line used to model a trend in a set of data
Numerator
the top part of a fraction
Intersection
the point where two equations "cross" each other
Mapping
a diagram that uses arrows to connect the input with the corresponding output values
Independent variable
the variable (input) that determines the dependent variable (output); "Toppings" is the independent variable.
Like terms
terms that have the same variable parts
Graph of an equation in two variables
forms a line on a coordinate plane
Linear equation
an equation whose graph is a straight line
Linear function
a function that can be represented by a line that is not vertical
Integers
numbers that belong to the set ... -3, -2, -1, 0, 1, 2, 3 ...
Function rule
an expression that can be used to represent a functional set of data
Half-life
the amount of time needed to reduce a quantity in half
Growth rate
the rate at which an exponential function is increased
Maximum value
the y-value of the vertex of a parabola
Horizontal
a line that goes left-right parallel to the x-axis
Identity
an equation that is true for all values (x = x)
Initial value
the beginning amount in an exponential function represented by the letter "a"
No solution
a system of equations in which there are no solutions (the lines are parallel)
Linear system
two or more linear equations that have the same variables
Order of operations
rules for evaluating an expression (PEMDAS)
Inverse operations
opposite operations (+ and - or * and / )
Inverse variation
a relationship that can be represented by the equation xy = k or y = k/x
Input
the x-values (domain) of a relationship; (0 and 1 are the input values)
Output
the y-values (range) of a situation (6 and 6.50 are the output values)
Midpoint
the point on a line that is equidistant from the endpoints (the exact middle)
Function notation
uses f(x) instead of y; f(x) = 3x + 5
Hypotenuse
the longest leg of a right triangle across from the 90 degree angle represented by the letter "c"
Irrational numbers
numbers than cannot be written as a fraction
Parabola
the "U" shaped graph of a quadratic equation
Median
the middle number of a set of data that has been ordered from least to greatest
Ordered Pair
the coordinates of a point (x, y)
Legs of a right triangle
the sides that make up the 90 degree angle of a right triangle
Mean
the average of a set of data
Monomial
a polynomial with only one term
Graph of an inequality in two variables
forms a shaded area on a coordinate plane with a boundary line
Linear inequality in two variables
a line in which the equal sign is replaced with an inequality symbol
Graph of a system of linear inequalities
the intersection area of two or more linear inequalities
Origin
(0, 0)
Infinite solutions
a system of equations in which all values are true (the equations are the same line)
Inequality
contains an inequality symbol
Opposites
positive/negative; multiplication/division; addition/subtraction
Leading coefficient
the coefficient of the first term when a polynomial is written so that the exponents decrease from left to right; 2 is the leading coefficient
Negative exponent
Minimum value
the y-value of the vertex of a parabola
Linear regression
the process that finds the best-fitting line to model a set of data (can be done on the calculator)
Greatest Common Factor
the biggest term that can be divided into all terms
Literal equation
an equation where letters are used to represent numbers (A=lw)
Mode
the number(s) that occur the most in a set of data
Graph of an inequality in one variable
the solution to an inequality that can be represented on a number line
Section 3
(50 cards)
Percent of decrease
the percent of change when the new amount is less than the original amount
Quadratic function
an equation that can be written in the form above
Reasonable Domain
the domain that takes into account the restrictions of a situation
Pythagorean Theorem
a formula used to find the sides of a triangle
Scale factor
the amount used to multiply a figure (6/4 = 3/2)
Proportion
an equation that states to ratios are equal; x/60 = 5/4
Rate
a fraction that compares two quantities measured in different units (miles per hour)
Solution of an inequality in two variables
an ordered pair that makes a true statement when substituted into an inequality (any coordinate in the shaded region)
Rate of change
the slope of a line
Solution of a system of linear inequalities
an ordered pair that is a solution to all of the inequalities in the system (in the shaded region)
Scientific notation
a number written in the form c x 10^n where 1 <= c < 10 and n is an integer
Range of a data set
the difference between the biggest and smallest values in a set of data; Range = {6, 6.50, 7, 7.50,...}
Solution of an inequality in one variable
a number that makes a true statement when substituted into an inequality
Standard form of a linear equation
Ax + By = C
Square root
b is the square root of b(b)
Standard form of a quadratic equation
Supplementary
angles that add to be 180 degrees
Perimeter
the distance around a figure
Sum
the answer to addition
Percent of increase
the percent of change when the new amount is more than the original amount
Solution of an equation in two variables
an ordered pair that makes a true statement when substituted into an equation
Reflection
flips a figure about a line
Product
the answer of multiplication
Quotient
the answer to division
Substitution
used to solve a system of equations by substituting the expression for one variable in for that variable for the other equation
Solution of an equation in one variable
a number that makes a true statement when substituted into an equation
Rational numbers
numbers that can be expressed as a fraction (i.e: 1/3)
Polynomial
a monomial or sum of monomials
Slope
rate of change which is the vertical change (rise) over the horizontal change (run) in a line
Roots
the solution to an equation; where the graph crosses the x-axis
Quadrants
the four regions created by the x- and y- axis
Quadratic parent function
y=x^2
Real numbers
the set of all rational and irrational numbers
Relation
the pairing of inputs with outputs
Linear parent function
y=x
Reasonable Range
the range that takes into account the restrictions of a situation
Point-slope form
Simplify
to perform all indicated operations
Solution of a system of linear equations
an ordered pair that is a solution to all of the equations in the system;The solution is (-4,2)
Perpendicular lines
two lines that intersect at a 90 degree angle
Quadratic formula
the formula used to find the solutions of a quadratic equation
Scatter plot
a graphing of points to determine if data has a relationship
Parallel lines
two lines that never intersect
Percent of change
the percent a quantity increases/decreases;
Ratio
the comparison of two numbers using division (6:4 or 6/4)
Slope-intercept form
an equation in the form y = mx + b
Perfect square
a number that has a whole number square root; 1=1(1); 4=2(2); 9=3(3); 16=4(4) so, 1, 4, 9, 16,... are perfect squares
Range of a function
all the possible x-values of a function; Range = {6, 6.50}
Similar figures
figures that have the same shape and are proportional
Profit
the amount of money made after costs are subtracted
Section 4
(28 cards)