Inverses
Radicals <-> Rational Exponents
Simplifying Expressions
Solving Equations
100
A1) Calculate the inverse function:
f-1(x) = sqrt(x/16)
or
f-2(x) = sqrt(x)/4
100
B1) Write as a radical:
cbrt(n2)
100
Trivia:
Which famous soft drink was invented in 1892?
Coca cola
100
D1) Solve. Check for extraneous solutions.
x = 13
200
A2) Calculate the inverse:
f-1(x) = sqrt(x+3)
200
Trivia:
What is used to make hummus?
Chickpeas (Garbanzo beans)
200
C1) Simplify:
n16
200
D2) Solve. Check for extraneous solutions.
x = 6
300
A3) Calculate the inverse:
f-2(x) = sqrt[(x-1)/5]
300
B2) Write with a rational exponent:
n(5/2)
300
C2) Simplify:
n10
300
Trivia:
What is the most expensive spice (by weight) in the world?
Saffron
400
Trivia:
What are the names of the Rice Krispies mascots?
Snap, Crackle, & Pop
400
B3) Write as a radical:
sqrt(16n2)
Simplify:
4n
400
C3) Simplify:
(4n2/3)1/2
41/2 * n2/6
2n1/3
400
D3) Solve. Check for extraneous solutions.
x = 20
500
A4) Calculate the inverse:
f-1(x) = 3sqrt(x-4)
500
B4) Write with a rational exponent and simplify:
36(14/7)
362 = 1296
500
C4) Simplify:
5x3y5
500
D4) Solve. Check for extraneous solutions. (This one is really hard!!)
x = -4 works
x = -5 is extraneous