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Algebra Flashcards

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5297098318absolute valueThe distance between a real number and zero on a number line.0
5297099526additive inverseThe opposite of a number. When added together, the sum is zero.1
5297101531algebraic expressionA collection of numbers and variables with at least one arithmetic operation.2
5297108156associative propertyThe grouping of terms within expressions involving addition or multiplication does not change the value. Ex: (a+b) + c = a + (b+c)3
5297108157axis of symmetryThe line that divides a graph into two symmetrical parts.4
5297108945baseThe repeated factor of a number written in exponential form.5
5297108946binomialA two-term polynomial.6
5297108947coefficientThe numerical value of a term.7
5297110152combine like termsAdding or subtracting terms that have the same variable(s) and exponent(s).8
5297110153commutative propertyChanging the order of addition or multiplication does not change the value. Ex: a+b+c = c+a+b9
5297111865compound inequalityTwo inequalities combined in one statement by the word and or or.10
5297114562consistent systemA system of equations with at least one solution.11
5297114563constantA term with no variables.12
5297114565coordinate planeFormed by two number lines that cross each other at zero.13
5297115821coordinatesOrdered pairs that identify points on a plane.14
5297115822deductive reasoningThe process of using logic to draw conclusions.15
5297115823denominatorThe lower half of a fraction.16
5297117243dependent systemA system of equations that has infinite solutions.17
5297129398differenceThe answer to a subtraction problem.18
5297129399difference of two squaresA binomial whose terms are perfect squares being subtracted.19
5297130430direct variationAn equation in the form y=kx, where k does not equal zero.20
5297130431discriminantThe expression inside the radical of the quadratic formula.21
5297131500distributive propertyUsed to clear parentheses by multiplying a term on the outside by two or more terms inside the parentheses. Ex: a(b - c) = ab - ac22
5297134151equationA mathematical sentence with an equal sign.23
5297135518evaluateTo find the value of an expression by following the order of operations.24
5297135520exponentThe number of times a base is multiplied by itself. Also called a power.25
5297137077extraneous solutionA result that does not satisfy the original equation or inequality.26
5297137078factorAn integer that divides another integer with no remainder.27
5297137922functionA relation in which every input (x) has exactly one output (y).28
5297142104function notationWhen the output (y) of a relation is renamed f(x). Read "f of x".29
5297144044graphingThe act of plotting points on a plane to represent a function or relation.30
5297145200greatest common factorThe largest number that divides into two terms.31
5297145201grouping symbolsSymbols such as parentheses and brackets, which separate terms within an expressions. Others include fraction bars, absolute value, square root, braces, etc.32
5297146662inconsistent systemA system of equations that has no solution.33
5297146663independent systemA system of equations that has exactly one solution.34
5297146664inequalityA sentence using greater than or less than symbols. Also, greater than or equal to, or less than or equal to.35
5297147687integerAll whole numbers and their opposites.36
5297150388irrational numberNumbers that cannot be expressed as fractions or terminating/repeating decimals.37
5297150389isolate the variableCollecting like terms and using inverse operations to get a variable by itself on one side of a relation.38
5297151688like termsTerms with the same variables raised to the same exponents.39
5297152646linear equationAn equation whose variables have an exponent of one and whose graph creates a straight line.40
5297154027monomialAn expression with a one term.41
5297954621multiplicative identity propertyMultiplying a number by one equals that number.42
5297957217multiplicative inverseTwo numbers multiplied together that equal one.43
5297960614zero product propertyAny number multiplied by zero equals zero.44
5297960615natural numberThe set of counting numbers starting with one.45
5297962475no solutionWhen there is no answer to an equation or inequality.46
5297962476numeratorThe upper half of a fraction.47
5297963960oppositesNumbers that have the same absolute value.48
5297963961order of operationsThe rules for evaluating an expression.49
5297963962ordered pairA pair of numbers used to identify a point (x, y) on a coordinate plane.50
5297965689originThe intersection of the axes in a coordinate plane.51
5297965690parabolaA U-shaped graph created by a quadratic function. Can also be upside down.52
5297968597parallelLines or planes that never intersect.53
5297968598perfect squareA number with a square root that is rational.54
5297970454perpendicularLines or planes that intersect at right angles.55
5297974986point-slope formAn equation of a line in this form:56
5297995286polynomialAn expression with one or more monomials being added or subtracted.57
5298030016productThe answer to a multiplication problem.58
5298031846propertyA law that governs mathematics.59
5298034202quadrantOne of four regions of a coordinate plane.60
5298057995quadratic expressionAn expression in this form with a, b and c being numbers.61
5298057996quadratic formulaA method of finding roots of a quadratic function by replacing a, b and c with numbers.62
5298057997quotientThe answer to a division problem.63
5298061406rateThe ratio that compares two quantities in different units.64
5298061407ratioThe relationship of two quantities, often shown using division.65
5298061408rational expressionA fraction that has polynomials in the numerator and denominator.66
5298062624rational numberAny number that can be written as a fraction.67
5298062625real numberAll rational and irrational numbers.68
5298062626reciprocalThe multiplicative inverse of a number. Created by switching the numerator and the denominator.69
5298063968repeating decimalA rational number that has a block of one or more numbers after the decimal that continually show up.70
5298063969replacement setA set of solutions that can replace a variable.71
5298063970riseThe difference between two y-values on a linear graph.72
5298065097runThe difference between two x-values on a linear graph.73
5298065098simplest formAn expression that contains no like terms or parentheses.74
5298066630simplifyTo reduce an expression to as few terms as possible.75
5298067715slopeA 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
5298067716slope-intercept formAn equation of a line in this form, with m as the slope and b as the y-intercept.77
5298069693solveThe process of finding all values of a variable that make an equation or inequality true.78
5298071396standard form of an equationAn equation in this form, where A, B and C are integers and A is positive.79
5298073301standard form of polynomialsWhen terms are placed in descending order according to their degree.80
7229457785sumThe answer to an addition problem.81
7229457786system of equationsA set of two or more equations with two or more variables.82
7229458168terminating decimalA rational number that does not repeat or continue indefinitely after the decimal.83
7229458169termA number and/or variable(s), or a combination of both being multiplied or divided.84
7229458374trinomialAn expression with three terms.85
7229458375undefinedNo solution.86
7229458664variableSymbols, usually letters, used to represent unspecified values.87
7229459261whole numberAll natural (counting) numbers and zero.88
7229459529x-axisThe horizontal number line of a coordinate plane.89
7229459530x-interceptThe point where a graph touches the x-axis. Also referred to as roots or zeros.90
7229459893y-axisThe vertical number line of a coordinate plane.91
7229460257y-interceptThe point where a graph touches the y-axis. Sometimes represented by the letter b.92
7231547487line of best fitA line drawn through a scatter plot to best represent the data.93
7231569624counterexampleA specific case that makes a statement false.94
7231576986degreeThe sum of the exponents in a monomial.95
7231582880dependent variableThe y-value, or output, of a relation, whose value depends on the input.96
7231592107independent variableThe x-value, or input, of a relation, which determines the output.97
7231593667domainThe set of x-values in a relation.98
7231597015rangeThe set of y-values in a relation.99
7231604391radicalA root symbol. The most common is square root, but can also be cubed, fourth root, fifth root, etc.100
7231640814geometric sequenceA 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
7231644371arithmetic sequenceA pattern that increases or decreases at a constant rate (d). Ex: 5, 10, 15, 20, 25...102
7236318385rootsThe solution(s) of a quadratic equation, where the parabola crosses the x-axis. Also called zeros.103
7236363332scientific notationA 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

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