Linear Things
Functions
Graphs & Polys
Expon. & Logs
Random
100

Solve: 5x/2 +x/4 = 3/2

x = 6/11

100

If f(x)= -12x+5, find f(-1).

f(-1) = 17

100

Describe the transformation occurring in the graph of y = x2 + 3

Vertical shift up 3

100

Write xy = 5 in logarithmic form

logx(5)=y

100

Find the domain:

f(x) = x/(x-4)

Domain: (-oo,4)U(4,oo)

or  {x|x =/= 4}

200

Find the slope between (2,3) and (-2,-5)

m = 2

200

If f(x) = 3x+5 and g(x) = 2x-4, find (f-g)(-9).

(f-g)(-9) = 0

200

Find the vertex of: h(x) = -2x2 + 4x - 5

(1,-3)

200

Write log5(k) = t in exponential form

5t = k

200

Multiply the complex numbers: 

(5 + i)(5 - i)

26+0i

300

Find the equation of the line with slope -3 and y-intercept 5/4.

y = -3x+5/4

300

If f(x) = 3x+5 and g(x) = 2x-4, find (fg)(x).

(fg)(x) = 6x2 - 2x - 20

300

Find the y-int of f(x) = (x+5)(x-1)(x-2)

(0,10)

300

Use change-of-base to express as common logs: log4(15)

log(15)/log(4) or ln(15)/ln(4)

300

Solve for x:   0 = (2x-5)(x+4)

x = 5/2, -4

400

Solve: 3|x-5| = 9

x = 2, 8

400

If f(x) = 3x+5 and g(x) = 2x-4, find (fog)(x).

(fog)(x) = 6x-7

400

Solve: x2 +3x +2 = 0

x = -1,-2

400

Determine final value of $500 initial deposit when invested at 3% for 4 years, compounded monthly.

$563.66

400

Write an equation that models the following: y varies directly as x and inversely as z.

y = kx/z

500

Write the equation of the line with slope 5 going thru (-1,-2)

y = 5x+3

500

If f(x) = 3x+5 find its inverse f-1(x).

f-1(x) = (x-5)/3

500

Factor, given that 1 is a zero: 

y = 2x3 -3x2 -5x + 6

y= (x-1)(x-2)(2x+3)

500

Solve and simplify: 3x = 27x-4

x = 6

500

Solve the system: 

x + y = 5

2x - 2y = 2

(3,2)

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