Algebra Review

Simplify

100

(6x⁴)/(4x²)

(3x²)/2

200

(x+3)/(3x+9)

1/3 

300

sqrt(50)

5 sqrt(2)

400

(16a⁴)^-1/2

1/(4a²)

500

sqrt (-81)

9i

Solve

100

Given f(x)= 2x-3, find f(-1)

-5

200

(x/2) - (x/3) = 4

x = 24

300

l x-5 l = 8

x=-3, x=13

400

log_x (4) = 1/2

x = 16

500

2x - sqrt(x) - 3=0

x = 9/4

Factor

100

4t²+36

4(t²+9)

200

z²-64

(z+8)(z-8)

300

x³+8

(x+2)(x²-2x+4)

400

t²+t-90

(t+10)(t-9)

500

4t²-16t+7

(2t-1)(2t-7)

Domain

100

{(1,2), (4,4), (4, 6)}

{1,4}

200

y=x²

(-oo, oo)

300

f(x) = 1/(x-4)

(-oo, 4) U (4, oo)

400

sqrt(x+3)

[-3, oo)

500

y = 2^x - 4

(-4, oo)

Miscellaneous

100

What is the slope of g(x) = -2x - 16

m = -2

200

Write the equation of a line passing through the point (2,5), parallel to the graph y = 4x - 7

y = 4x - 3 

300

Find the distance between the points (-2, -8), and (3,4) 

13

400

Find the vertex of f(x) = -x² + 4x - 5

(2, -1) 

500

Write the equation of a circle with center at (-2, 6) and radius 12

(x + 2)² + (y - 6)² = 144