June exam terms

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June exam terms

• Definitions/ Properties Review

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System of linear equations
2 or more linear equations together
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Quadratic Function

• a function that can be written in the form y
  ax2 bx c, where a ? 0

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Elimination method

• using addition, subtraction or multiplication/divi
  sion to solve a system of equations

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Exponential Decay

• the function y abx for a gt 0 and 0 lt b lt 1

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Degree of a Polynomial

• the same as the degree of the monomial with the
  greatest exponent

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Geometric Sequence

• formed by multiplying a term in the sequence by a
  fixed number to find the next term

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Radical Equation

• an equation that has a variable in a radicand

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y ax2 bx c

• standard form of a quadratic where a ? 0

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Solution of an inequality

• the coordinates of the points that make the
  inequality true

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Polynomial

• the sum or difference of two or more monomials

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Binomial

• a polynomial that has two terms

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Principal Square Root

• the positive square root

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Pythagorean Theorem

• describes the relationship of the lengths of the
  sides of a right triangle in any right triangle,
  the sum of the squares of the lengths of the legs
  is equal to the square of the length of the
  hypotenuse.
• a2 b2 c2

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Permutation

• an arrangement of objects in a specific order

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Vertex

• the highest or lowest point on a parabola, which
  is on the axis of symmetry

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Exponential Growth

• can be modeled with the function y abx for
  a gt 0 and b gt 1

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Vertical Shrink
in a quadratic, indicates that the absolute value
of a is between 0 and 1 and affects the shape
of the graph
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Factor by Grouping

• type of factoring used if two groups of terms
  have the same factor

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Parabola

• the graph of a quadratic function, it is a U
  shaped curve

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Linear inequality

• describes a region of the coordinate plane that
  has a boundary line

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Maximum

• the highest point on a parabola, the y value of
  the vertex, when the graph open downward

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Radicand

• the expression under the radical sign

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Growth Factor

• the base (b) which is greater than 1

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Common Ratio

• the fixed number in a Geometric sequence

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Quadratic Formula

• if ax2 bx c 0, and a ? 0, then

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Interest Period

• the length of time over which interest is
  calculated

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Combination

• an arrangement of objects without regard to order

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Solution of a system of linear inequalities

• ordered pairs that make the inequalities true

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Exponential Function

• a function in the form of y abx , where a is a
  nonzero constant,
• b gt 0, and x is a real number

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Compound Interest

• when the bank pays an interest on the principle
  and the interest that an account has already
  earned

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Scientific Notation

• a number written as a product of two factors in
  the form a x 10n, where n is an integer and
  1 lt a lt 10

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Monomial

• an expression that is a number, a variable or a
  product of a number and one or more variables

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Solution of a system of linear equations
an ordered pair that makes the system true, or
the point of where the lines cross, or the
point of intersection
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Square Root Function

• a function that contains the independent variable
  in the radicand

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Degree of a Monomial

• the sum of the exponents of its variables

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Inverse variation
k x

• an equation in the form or y , where k,x or
  y ? 0

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Substitution method

• replacing one variable in a system of equations
  with an equivalent expression containing the
  other variable

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Standard Form of a Polynomial

• the degrees of the monomial terms decrease from
  the left to the right, in descending order

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Discriminant

• an expression under the radical in the quadratic
  formula, b2 - 4ac

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Trinomial

• a polynomial that has three terms

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Axis of Symmetry

• a fold or line that divides a parabola into two
  matching halves

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Decay Factor

• the base (b) which is less than 1 and greater
  than 0

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Rational Functrion

• an equation containing one or more rational
  expressions

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Minimum

• the lowest point on a parabola, the y value of
  the vertex, when the graph opens upward

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Unlike Radicals

• radicals that dont have the same radicand

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Vertical Stretch

• in a quadratic, indicates that the absolute value
  of a is greater than 1 and affects the shape of
  the graph

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x - b/2a

• equation of the line of symmetry, the x
  coordinate of the vertex

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Asymptote line

• a line of a graph which makes the fraction
  undefined, the value of the line that the graph
  approaches

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Conditional

• an if-then statement

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Rationalize

• multiply the numerator and the denominator by the
  same radical expression to make a radicand in the
  denominator of a radical expression a perfect
  square

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Radical Expression

• contain a radical

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Hypotenuse

• the side opposite a right angle

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Leg

• each of the sides forming a right angle

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Conclusion

• the part of a conditional following the then

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Like Radicals

• radicals that have the same radicand

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Hyperbola

• graph of a rational function

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Conjugates

• the sum and the difference of the same two
  (radical) terms

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Hypothesis

• the part of a conditional following the if

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Extraneous Solution

• a solution that does not satisfy the original
  equation

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Constant of variation

• is k

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Rational expression

• an expression with a variable in the denominator

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Converse

• switches the hypothesis and the conclusion in a
  conditional

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Absolute value function y x
Linear function y mx b
Identify the type of function and then
the parent equation
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Quadratic function y ax2
Exponential function
y abx
Identify the type of function and then the
parent equation
b 2a
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Rational function y
Radical function y vx
1 x
Identify the type of function and then the
parent equation
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Radical function y ax3
Identify the type of function and then the
parent equation
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Properties/Formulas
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Negative exponent property

• a n 1/n

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Multiplication Property of Square Roots

• for every number a 0 and b 0,

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Pythagorean Theorem

• a2 b2 c2

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Geometric Sequence

• A(n) a r n - 1

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Multiplying Powers with the Same Base Property

• a m a n am n

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Difference of squares

• (a - b) (a b) a2 - b2

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Power to a Power Property

• (am)n amn

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Zero - Product Property

• for every real number a and b,
• if ab 0, then a 0 or b 0

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Product to a Power Property

• (ab)n anbn

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Division Property of Square Roots

• for every number a 0 and b 0,

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Dividing Powers With the Same Base Property

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Zero exponent property

• a 0 1

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Perfect square trinomial

• (a b)2 a2 2ab b2
• or
• (a - b)2 a2 - 2ab b2

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Quotient to a Power Property
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thats all folks!

• The End!