Algebra Flashcards

5297098318	absolute value	The distance between a real number and zero on a number line.	0
5297099526	additive inverse	The opposite of a number. When added together, the sum is zero.	1
5297101531	algebraic expression	A collection of numbers and variables with at least one arithmetic operation.	2
5297108156	associative property	The grouping of terms within expressions involving addition or multiplication does not change the value. Ex: (a+b) + c = a + (b+c)	3
5297108157	axis of symmetry	The line that divides a graph into two symmetrical parts.	4
5297108945	base	The repeated factor of a number written in exponential form.	5
5297108946	binomial	A two-term polynomial.	6
5297108947	coefficient	The numerical value of a term.	7
5297110152	combine like terms	Adding or subtracting terms that have the same variable(s) and exponent(s).	8
5297110153	commutative property	Changing the order of addition or multiplication does not change the value. Ex: a+b+c = c+a+b	9
5297111865	compound inequality	Two inequalities combined in one statement by the word and or or.	10
5297114562	consistent system	A system of equations with at least one solution.	11
5297114563	constant	A term with no variables.	12
5297114565	coordinate plane	Formed by two number lines that cross each other at zero.	13
5297115821	coordinates	Ordered pairs that identify points on a plane.	14
5297115822	deductive reasoning	The process of using logic to draw conclusions.	15
5297115823	denominator	The lower half of a fraction.	16
5297117243	dependent system	A system of equations that has infinite solutions.	17
5297129398	difference	The answer to a subtraction problem.	18
5297129399	difference of two squares	A binomial whose terms are perfect squares being subtracted.	19
5297130430	direct variation	An equation in the form y=kx, where k does not equal zero.	20
5297130431	discriminant	The expression inside the radical of the quadratic formula.	21
5297131500	distributive property	Used to clear parentheses by multiplying a term on the outside by two or more terms inside the parentheses. Ex: a(b - c) = ab - ac	22
5297134151	equation	A mathematical sentence with an equal sign.	23
5297135518	evaluate	To find the value of an expression by following the order of operations.	24
5297135520	exponent	The number of times a base is multiplied by itself. Also called a power.	25
5297137077	extraneous solution	A result that does not satisfy the original equation or inequality.	26
5297137078	factor	An integer that divides another integer with no remainder.	27
5297137922	function	A relation in which every input (x) has exactly one output (y).	28
5297142104	function notation	When the output (y) of a relation is renamed f(x). Read "f of x".	29
5297144044	graphing	The act of plotting points on a plane to represent a function or relation.	30
5297145200	greatest common factor	The largest number that divides into two terms.	31
5297145201	grouping symbols	Symbols such as parentheses and brackets, which separate terms within an expressions. Others include fraction bars, absolute value, square root, braces, etc.	32
5297146662	inconsistent system	A system of equations that has no solution.	33
5297146663	independent system	A system of equations that has exactly one solution.	34
5297146664	inequality	A sentence using greater than or less than symbols. Also, greater than or equal to, or less than or equal to.	35
5297147687	integer	All whole numbers and their opposites.	36
5297150388	irrational number	Numbers that cannot be expressed as fractions or terminating/repeating decimals.	37
5297150389	isolate the variable	Collecting like terms and using inverse operations to get a variable by itself on one side of a relation.	38
5297151688	like terms	Terms with the same variables raised to the same exponents.	39
5297152646	linear equation	An equation whose variables have an exponent of one and whose graph creates a straight line.	40
5297154027	monomial	An expression with a one term.	41
5297954621	multiplicative identity property	Multiplying a number by one equals that number.	42
5297957217	multiplicative inverse	Two numbers multiplied together that equal one.	43
5297960614	zero product property	Any number multiplied by zero equals zero.	44
5297960615	natural number	The set of counting numbers starting with one.	45
5297962475	no solution	When there is no answer to an equation or inequality.	46
5297962476	numerator	The upper half of a fraction.	47
5297963960	opposites	Numbers that have the same absolute value.	48
5297963961	order of operations	The rules for evaluating an expression.	49
5297963962	ordered pair	A pair of numbers used to identify a point (x, y) on a coordinate plane.	50
5297965689	origin	The intersection of the axes in a coordinate plane.	51
5297965690	parabola	A U-shaped graph created by a quadratic function. Can also be upside down.	52
5297968597	parallel	Lines or planes that never intersect.	53
5297968598	perfect square	A number with a square root that is rational.	54
5297970454	perpendicular	Lines or planes that intersect at right angles.	55
5297974986	point-slope form	An equation of a line in this form:	56
5297995286	polynomial	An expression with one or more monomials being added or subtracted.	57
5298030016	product	The answer to a multiplication problem.	58
5298031846	property	A law that governs mathematics.	59
5298034202	quadrant	One of four regions of a coordinate plane.	60
5298057995	quadratic expression	An expression in this form with a, b and c being numbers.	61
5298057996	quadratic formula	A method of finding roots of a quadratic function by replacing a, b and c with numbers.	62
5298057997	quotient	The answer to a division problem.	63
5298061406	rate	The ratio that compares two quantities in different units.	64
5298061407	ratio	The relationship of two quantities, often shown using division.	65
5298061408	rational expression	A fraction that has polynomials in the numerator and denominator.	66
5298062624	rational number	Any number that can be written as a fraction.	67
5298062625	real number	All rational and irrational numbers.	68
5298062626	reciprocal	The multiplicative inverse of a number. Created by switching the numerator and the denominator.	69
5298063968	repeating decimal	A rational number that has a block of one or more numbers after the decimal that continually show up.	70
5298063969	replacement set	A set of solutions that can replace a variable.	71
5298063970	rise	The difference between two y-values on a linear graph.	72
5298065097	run	The difference between two x-values on a linear graph.	73
5298065098	simplest form	An expression that contains no like terms or parentheses.	74
5298066630	simplify	To reduce an expression to as few terms as possible.	75
5298067715	slope	A measure of steepness of a line. Often represented by the letter m. Calculated by finding the ratio of the change in y-coordinates (rise) to the change in x-coordinates (run).	76
5298067716	slope-intercept form	An equation of a line in this form, with m as the slope and b as the y-intercept.	77
5298069693	solve	The process of finding all values of a variable that make an equation or inequality true.	78
5298071396	standard form of an equation	An equation in this form, where A, B and C are integers and A is positive.	79
5298073301	standard form of polynomials	When terms are placed in descending order according to their degree.	80
7229457785	sum	The answer to an addition problem.	81
7229457786	system of equations	A set of two or more equations with two or more variables.	82
7229458168	terminating decimal	A rational number that does not repeat or continue indefinitely after the decimal.	83
7229458169	term	A number and/or variable(s), or a combination of both being multiplied or divided.	84
7229458374	trinomial	An expression with three terms.	85
7229458375	undefined	No solution.	86
7229458664	variable	Symbols, usually letters, used to represent unspecified values.	87
7229459261	whole number	All natural (counting) numbers and zero.	88
7229459529	x-axis	The horizontal number line of a coordinate plane.	89
7229459530	x-intercept	The point where a graph touches the x-axis. Also referred to as roots or zeros.	90
7229459893	y-axis	The vertical number line of a coordinate plane.	91
7229460257	y-intercept	The point where a graph touches the y-axis. Sometimes represented by the letter b.	92
7231547487	line of best fit	A line drawn through a scatter plot to best represent the data.	93
7231569624	counterexample	A specific case that makes a statement false.	94
7231576986	degree	The sum of the exponents in a monomial.	95
7231582880	dependent variable	The y-value, or output, of a relation, whose value depends on the input.	96
7231592107	independent variable	The x-value, or input, of a relation, which determines the output.	97
7231593667	domain	The set of x-values in a relation.	98
7231597015	range	The set of y-values in a relation.	99
7231604391	radical	A root symbol. The most common is square root, but can also be cubed, fourth root, fifth root, etc.	100
7231640814	geometric sequence	A pattern in which each term is found by multiplying the previous term by a common ratio (r). Ex: 3, 6, 12, 24, 48, 96...	101
7231644371	arithmetic sequence	A pattern that increases or decreases at a constant rate (d). Ex: 5, 10, 15, 20, 25...	102
7236318385	roots	The solution(s) of a quadratic equation, where the parabola crosses the x-axis. Also called zeros.	103
7236363332	scientific notation	A way to represent very large or very small numbers by multiplying a number (at least one but less than 10) by 10 to the nth power.	104