Flashcards
Algebra 1- Unit 11: Polynomials
Cards in this deck (28)
- 1Absolute ValueueThe distance between a number and zero on a number line. Ex. |3|= 3, |-4|= 4
- 2Absolute Value ExpressionAn algebraic or numerical expression that includes absolute value.
- 3BinomialA polynomial with two terms.
- 4Combine Like TermsThe consolidation of terms whose variables and exponents are the same.
Ex. 3x–6x+18 = -3x+18 - 5ConjugateWhen you change the sign in the middle of two terms. Ex. 3x+1 to 3x–1
- 6Cube RootThe length of one side when given the volume of a cube.
3•3•3=27, √27=3 - 7DegreeThe largest exponent the variable has in a polynomial with one variable
Ex. 4x^3+2x^2+x-7 has a degree of 3 - 8DistributeTo multiply out the parts of an expression; the opposite of factoring.
- 9The Distributive PropertyProperty which states that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.
Ex. a(b+c) = ab + ac - 10Equivalent ExpressionTwo expressions that are equal in value.
Ex. 3x+9y = 3(x+3y) - 11EvaluateTo solve, figure out, or compute.
- 12ExpandTo mathematically remove the
parenthesis ( ) in an expression.
Ex. 3(a+b) = 3a + 3b - 13FactorNumbers we can multiply together to get another number.
Ex. 2 and 3 are factors of 6,
because 2 • 3 = 6 - 14Greatest Common FactorThe highest number that divides exactly into two or more numbers.
- 15IndexAnother name for an exponent or power. Tells how many times to use the number in a multiplication problem.
- 16MonomialAn expression with a single term.
Ex. 4x - 17Non-Standard OperationA new "operation" that has been defined.
- 18PolynomialAn expression that has constants, variables, and exponents that can be combined using addition, subtraction, multiplication, and division.
Ex. 3x^2 + 15y – 12 - 19RadicalAn expression that has a square root, cube root, etc.
The symbol is √ - 20RadicandThe value inside the radical symbol.
- 21Radical ExpressionAn expression involving a radical.
- 22Rational ExpressionAn expression that is the ratio of two polynomials.
Ex. x+2/x–5 - 23RationalizeThe process by which a fraction is rewritten so that the denominator contains only rational numbers
- 24Simplest Radical FormThe process of simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc. left to find.
- 25Square RootA value that, when multiplied by itself, gives the number.
Ex.- 4^2=4•4=16 so √16=4 - 26SubstitutionReplacing variables with numbers.
- 27TrinomialA polynomial with three terms.
Ex. 3x^2 + 15y – 12 - 28—
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- 8th grade Algebra 1 Flashcards on Algebra 1- Unit 11: Polynomials, created by Justin Smith on 29/06/2023.
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- Justin Smith
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