Review Common Core Algebra June 2014 Mrs Drechsel

Review Common Core Algebra June 2014 Mrs. Drechsel

Inequalities INEQUALITIES: > or < dotted line > or < solid line SHADE ↑ or → if > or > SHADE ↓ or ← if < or <

Properties

PROPERTIES

Rational & Irrational

QUADRATIC EQUATION

FUNCTIONS

LINEAR FUNCTIONS Linear Functions To find a pattern for linear functions it includes ADDING or SUBTRACTING

EXPONENTIAL FUNCTIONS: To find a pattern you must multiply or divide *See #6 on JUNE 2014

FUNCTIONS

COMMON FUNCTIONS

Graphing y=mx + b

Writing Linear Functions

FUNCTIONS F(x) = y * PLUG in # for F(x) and the x for each problem. They MUST equal 9 = 9, 17 = 17, etc.

Rational # GIVEN: * Rational numbers are “nice and neat”

Plug it in! Plug in the correct # to equal to 20

GRAPHING!

ROOTS What are the roots of the equation…

Linear Equations A cell phone company charges $60. 00 a month for up to 1 gigabyte of data. The cost of additional data is $0. 05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill? *$60 a month is a constant +. 05 d ADD to get the TOTAL

Mean, Median, Mode Christopher looked at his quiz scores shown below for the first and second semester of his Algebra class. Semester 1: 78, 91, 88, 83, 94 Semester 2: 91, 96, 80, 77, 88, 85, 92 Hint: Semester 1 mean =86. 8 and Semester 2 mean = 87

Graphing The graph of y = f(x) is shown below.

Vertex/Turning Point * Substitute g(x) into f(x-2) solve for new formula. • label a and b on new formula • Use Axis of Symmetry formula • Plug in x for g(x) =x 2 -8 x +15 • Solve to get y and OR SEE NEXT SLIDE******

Vertex/Turning Point continued…. Graph y=x 2 -4 x +3 g(x) = f (x-2) *Counter intuitive means change sign to right TABLE x -1 0 1 2 y 8 3 0 -1 Step 1: graph using table y=x 2 -4 x +3 Step 2: Change signs (x-2) → (x +2) 2+2 (2, -1)→(4, -1)