Common Core Algebra Review

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Presentation transcript:

Common Core Algebra Review JANUARY 2016 Common Core Algebra Review

NEED TO KNOW HOW TO…. Find the ROOTS from an equation f(x) = 2x2 – 4x – 6 HINT: *Use calculator, y = *Plug in formula *Graph *LOOK for where it crosses the x-axis

Subtract….ADD the opposite NEED TO KNOW HOW TO….. Subtract….ADD the opposite Set it up 5x2 – (2x-3)2 5x2 – (2x -3) (2x -3) ← FOIL 5x2 - (4x2 – 6x -6x + 9) ← ADD THE OPPOSITE, 5x2 – 4x2+12x – 9 ← COMBINE LIKE TERMS x2+12x -9 ←ANSWER

RANGE → Y DOMAIN → X

HINT: Each term is twice the preceding term plus 1. NEED TO KNOW….RECURSIVE FUNCTION Which recursively defined function represents the sequence 3,7, 15, 31…? HINT: Each term is twice the preceding term plus 1. f(1) = 3 f (2) = 2(3) +1 =7 f(3) = 2(7) + 1 = 15 f(4) = 2(15) + 1 = 31 ANSWER: 3

HINT: x3 -13x2 -30x x(x2 -13x -30) x(x+2)(x-15)

KNOW RATIONAL AND IRRATIONAL NUMBERS…. USE CALCULATOR TO CHANGE FRACTIONS TO DECIMALS

The graph representing a function is shown below. What is the MINIMUM of this graph? What are some numbers that are less than the minimum shown?

HINT: L = 3.5d V = P (1-.15)t A = P (3) d/2 Grisham is considering the three situations below. For the first 28 days, a sunflower grows at a rate of 3.5 cm per day. The value of a car depreciates at a rate of 15% per year after it is purchased. The amount of bacteria in a culture triples every two days during an experiment. Which of the statements describes a situation with an equal difference over an equal interval? HINT: L = 3.5d V = P (1-.15)t A = P (3) d/2

Solve the equation for y.