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Algebra

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Section 1

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Algebra Math

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Date created

Mar 14, 2020

Cards (20)

Section 1

(20 cards)

Subject

Front

The letter for which a formula is solved.

Back

Complex Fraction

Front

A fraction that contains one or more fractions in the numerator, the denominator, or both.

Back

Root

Front

A value that makes an open sentence true.

Back

Term

Front

Each number in a sequence. (When a fraction is in the form A/B, A and B are the terms of the fraction.)

Back

Prime Factorization

Front

An indicated product in which all the factors are prime.

Back

Product Rule for Algebraic Fractions

Front

A/B ⋅ C/D= AC/BD (if B≠0 and D≠0) the product of two fractions is the product of the numerators over the product of the denominators; the result is to be in lowest terms.

Back

Prime

Front

A number or a polynomial having only 1 and itself as factors.

Back

Excluded Values

Front

Any values of a variable that result in a denominator of 0, which must be excluded from the domain of that variable.

Back

Distributive Property

Front

a(b + c) = ab + ac

Back

Literal Equation

Front

An equation containing letters in which one letter is treated as a variable and any other letter is treated as a constant.

Back

Invert

Front

To replace the fraction with its reciprocal.

Back

Adding & Subtracting Algebraic Fractions

Front

Determine the LCD from the prime factorization of the denominator of each fraction; 2. Change each fraction to an equivalent one having the LCD for its denominator; 3. Find all numerator products 4. Write a single fraction made up of the combined numerators over the LCD; and 5. Reduce, if possible.

Back

Degree of a Term

Front

The number of variable factors in the term, for example 7ab and -3x^2 are second-degree terms and 9y is a first degree term.

Back

Coefficient

Front

The numerical factor of a term.

Back

GCF (Greatest Common Factor)

Front

The largest number that can divide each number from a set of numbers without a remainder. Ex. The G.C.F. of 8 and 12 is 4.

Back

Descending Powers

Front

A polynomial in x is said to be written in descending powers if the exponents of x in its terms are in decreasing order.

Back

Complete Factorization

Front

An indicated product in which all polynomial factors (excluding monomial factors) are prime.

Back

Quotient Rule for Algebraic Fractions

Front

A/B÷ E/F = A/B⋅F/E (if B≠0, F≠0, E≠0); the quotient of two fractions is the product of the first fraction and the reciprocal of the second fraction; the result is to be in lowest terms.

Back

Difference of Two Squares

Front

A polynomial of the form a^2-b^2, which may be written as the product (a+b)(a-b).

Back

LCD (least common denominator)

Front

The smallest value into which each denominator of a group of fractions can be divided exactly.

Back