Algebra Flashcards

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1
Q

Algebra

A
  • math involving variables
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2
Q

Variable

A
  • a letter representing a specific number or all numbers
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3
Q

Variable (Equation)

A
  • the variable represents all numbers or all numbers with specific exceptions
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4
Q

Constant

A
  • number or symbol, like π, that doesn’t change in value
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5
Q

Term

A
  • a product of constants and variables, including powers of variables
  • 5, x2, 6y2, x5y6z7
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6
Q

Coefficient

A
  • the constant factor of a term
  • when no coefficeint is written the coefficient is 1
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7
Q

Expression

A
  • a collection of one or more terms joined by addition or subtraction
  • has no equals sign (=)
  • x + y, y2 - x2, 1 + 3x3 - y
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8
Q

Monomial

A
  • an expression with one term
  • 43, 5x2, y
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9
Q

Binomial

A
  • an expression with two terms
  • x + 5, r2 - 25
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10
Q

Trinomial

A
  • an expression with three terms
  • x2 - 25y + 2
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11
Q

Polynomial

A
  • an expression with any number of terms, but only one variable
  • 5x2 - 7x + 14
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12
Q

Linear

A
  • a term or expression with a single power of a variable
  • y, x - 5
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13
Q

Quadratic

A
  • a term or expression with a squared variable
  • y2, z2 - 17
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14
Q

Cubic

A
  • an term or expression with a cubed variable
  • t3, u3 + 7
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15
Q

17x

A

linear monomial

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16
Q

3x - 5

A

linear binomial with a constant term

17
Q

3y3

A

quadratic monomial

18
Q

2x2 + 8x

A

quadratic binomial with a linear term

19
Q

Significant Figures

A
  • hose digits that carry meaning contributing to its measurement resolution. This includes all digits excecpt
    • 0.0500 (3)
    • 3700 (2)
    • 47.0034 (6)
20
Q

Direct Variation

A
  • two variables vary directly
  • y = kx
  • y = 2x
  • sometimes obfuscated:
    • y = -3x
    • y/x = -3
    • 1/x = -3/y
21
Q

Inverse Variation

A
  • a variable varies by the inverse of the other variable
  • y = k*1/x
  • instead of multiplying you end up dividing, scaling inversely