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EOC REVIEW FLASH POWER POINT. Gregory Fisher, Mt. Tabor High School Used byJeffrey Williams, West Forsyth High School. Hidden Parenthesis. ( ) ( ). 5 2x or 6 -1/2. ( ). ( ). 5a 2 b when a is -2 and b is 3/4. 5 (-2) 2 ( 3/4 ). …. …. ….
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EOC REVIEW FLASH POWER POINT Gregory Fisher, Mt. Tabor High School Used byJeffrey Williams, West Forsyth High School
Hidden Parenthesis ( ) ( ) 5 2x or 6 -1/2 ( ) ( ) 5a2b when a is -2 and b is 3/4 5(-2)2(3/4) … … …
A candidate receives 56% within a 4% margin of error |x – 56 |< 4 |x - .56|< .04 |x – Middle#| < othernumber …
Center and Radius of (x-3)2 +(y+6)2=4 • Center: (3,-6) • Radius: = 2 …
X2 + y2 – 6x +10y – 2 = 0 (x2 – 6x ) +(y2 + 10y ) =2 + 9 +25 +9 +25 1/2 1/2 square square (y + 5)2 =36 + (x – 3)2 Center: (3, -5) Radius: =6 …
An open box is made from 11 x 13 sheet of paper. Find dimensions to make a volume of 60in3 if minimum waste 3 x(11 – 2x) (13 – 2x) = 60 Solve by graphing and look for smallest x An open box is made from 8 x 10 sheet of paper. Find dimensions to make maximum volume. x(8 – 2x) (10 – 2x) = y Find by graphing. Give x value x(length – 2x)(width – 2x)=V …
Town of 100,000 grows 5.4%for 7 years • 100000(1 + .054)7 or (1.054)7 $20,000 car depreciates 13.2%for 4 years • 20000(1 - .132)4 or (.868)4 … … …
Growth rate of 5(1.036)x 3.6% {1.036-1 = .036 = 3.6%} Growth rate of 7(.84)x -16% {.84 - 1 = -.16 = -16% or depreciates 16%} … … …
Translating 3|x-2|+ 1 • Narrow because 3>1 • Right 2 x-2=0 x= 2 • Up 1 Translating from • Fatter 5 1 • Left 6 (right 4 to left 2) • Up 6 (down 3 to up 3) … … …
Thinner Wider Right Left Up Down …
Write log3x>2 in exponential form x> 32 Write 5x=y in logrithmic form x= log5y The bottom number remains the bottom and the other two switch sides … … …
Typing log2x + log39 into calculator Writing 3logx2 + 1/2 logxy – 5 logxzas one log Logx23+ log2y1/2 – logxz5 … … … … …
X varies directly as the square of m x = km2 n varies inversely as the square root of m n = p varies jointly as n, cube of q, and inversely as w P=knq3 w … … …
f(x) = x2 – 6xg(x) = x – 3 Find g o f(-3) Find f(g(x)) or f o g(x) =(x-3)2– 6(x-3) f(-3) = (-3)2 – 6(-3) = 27 =(x-3)(x-3) – 6(x-3) g(27) = (27) – 3 = 24 =x2–3x–3x+9–6x+18 =x2–12x+27 …
f(x)=5x – 2. Find f-1(x) Inverse y=5x – 2 x + 2=5y x=5y – 2 (switch x and y and solve for y) (1/5)x + (2/5) =y or f-1(x)= Or look at table of original graph and find (0,-2),(1,3) and then look for (-2,0) and (3,1) on table of answers …
Vertical Asymptotes # has graph of & error on table Always x= … Holes Error on table but NO on graph Horizontal Asymptotes Set TABLE to 10000 and look at y values. (E-07 is 0) Always Y= … … …
Regression Steps • Turn diagnostic on: 2nd . Scroll to DiagnosticON ENTER 2. STAT EDIT put the numbers in. 3. STAT Choose Regression Linreg for Lines Quadreg for Quadratics Expreg for Exponential (Look for r2 to be closest to 1) 4. Write down equation on paper. 5. Input equation into y= 6. Look at the table
Solve: x + 2y = 12 2x = 13 + 7y x + 2y = 12 2x – 7y= 13 -7y to the left side [A]-1[B] (10,1) x=10, y=1 …