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Praxis math content > Algebra > Flashcards

Algebra Flashcards

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1
Q

Variable

A

A placeholder for a number whose value may vary. (X, y, z, a, b)

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2
Q

Constant

A

A numerical quantity whose value does not change

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3
Q

Numerical expression

A

Any constant or combination of two or more constants joined by explicit or implied operational symbols

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4
Q

Algebraic expression

A

A symbol or combination of symbols that represent a number.

Consist of one or more variables joined by one or more operations with it without constants explicitly included.

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5
Q

Juxtaposition

A

When constants and variables or two or more variables are written side by side, they are products.

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6
Q

Terms (in algebraic expression)

A

The parts of the expression that are connected to the other parts by plus or minus symbols.

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7
Q

Monomial

A

A term that when simplified is a constant or a product of one or more variables raised to non-negative integer powers, with it without and explicit coefficient.

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8
Q

Coefficient

A

The product of the other factors in a term.

Ex, the coefficient of y in 5y(x+2) is 5(x+2)

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9
Q

Degree of a monomial

A

The sum of the exponents of its variables

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10
Q

Like terms

A

Monomial terms that only differ in their numerical coefficients

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11
Q

Numerical coefficient

A

The constant number in a term with a variable

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12
Q

Polynomial

A

An algebraic expression composed of one or more monomials.

A monomial Is polynomial with only one term.

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13
Q

Binomial

A

Polynomial with exactly two terms

Ex, 8xy+5

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14
Q

Trinomial

A

A polynomial with exactly three terms

Ex, 16x+8x+1

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15
Q

FOIL

A

First terms, Outer Terms, Inner terms, Last terms.
Used to obtain the product of two binomials.

Ex, (2x-3)(x+4)

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16
Q

Perfect trinomial square

A

(X+/-y) squared

17
Q

Difference of two squares

A

(X+y)(x-y)

18
Q

Perfect cube

A

(X+/- y) cubed

19
Q

Rational expression

A

An algebraic fraction in which both the numerator and denominator are polynomials

20
Q

Complex fraction

A

A fraction that has fractions in its numerator, denominator or both

21
Q

Equation

A

A statement that two mathematicians expressions are equal

22
Q

Open sentence

A

An equation containing one or more variables

Ex, x+2=3 or x+2y=8

23
Q

Formula

A

An equation that expresses the relationship between two or more variables

24
Q

Literal equation

A

An equation with no numbers, only letters

25
Q

Fractional equation

A

One in which a variable appears in the denominator of one or more terms

Ex, 1/2+1/x = 5/6

Can be converted to a quadratic equation by multiplying both sides by the lcm of the equations fractions.

26
Q

Radical equation

A

One in which the variable appears in a radical (square root)

27
Q

Exponential equation

A

One in which the variable appears in a exponent

28
Q

System

A

A set of equations with the same set of variables and are all considered simultaneously.

29
Q

Consistent system

A

A system that has a solution

30
Q

Inconsistent system

A

One without a solution

31
Q

Ordered pair

A

An x-value paired with a corresponding y-values

X, y

32
Q

Three possibilities of a system of equations

A
  1. Exactly one solution. Lines intersect at the solution.
  2. Infinitely many solutions. Lines have all points in common (two identical lines overlapped)
  3. No solution. Lines are parallel
33
Q

Positive slope

A

When a line slopes upward to the right.

34
Q

Negative slope

A

When a line slopes downward to the right

35
Q

Horizontal line equation

A

Y=k (m=0)

K stands for any constant

36
Q

Vertical line equation

A

X=h (undefined slope)

H stands for any constant

37
Q

Percentage change formula

A

Percent change=(new value-old value)/old value • 100%

Praxis math content (2 decks)

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