Graphing
Radicals & Rational Exponents
Simplify/Evaluate
Solving Equations
Vocabulary
100
Describe the transformations:
f(x)=-sqrt(x-2)+3
1) Right 2
2) Reflect over x-axis
3) Up 3
100
Write as a radical:
n^(2/3)
root(3)(n^2)
100
Christmas Trivia: 2000 pts
In Jingle Bells, what kind of vehicle is “dashing through the snow”?
one horse open sleigh
100
D1) Solve. Check for extraneous solutions.
x = 13
100
What is the name of this symbol
sqrt
radical
200
Give an equation that would represent the following transformations on the cube root parent function:
Left 1, vertical stretch by a factor of 2, down 4
g(x)=2* root(3)(x+1)-4
200
Christmas Trivia: 2000 pts
What city were the McCallisters going to for a holiday vacation in Home Alone (1990)?
Paris, France
200
Simplify:
8^(2/3)
4
200
D2) Solve. Check for extraneous solutions.
x = 6
200
What is the name of the little number beside the radical called?
sqrtx
Index
300
Give the domain and range for
g(x)=(x-2)^2-3
Domain: all real numbers
Range: [-3, infinity)
300
Write with a rational exponent:
(sqrt(n))^5
n(5/2)
300
Simplify:
root(9)(64)
root(3)(4)
300
Christmas Trivia 2000 pts
Which Hollywood actor played six different roles in The Polar Express?
Tom Hanks
300
What is the radicand
The expression under the radical
400
Christmas Trivia 2000 pts
What country does the Christmas tree tradition supposedly originate from?
Germany
400
Simplify:
(8n^3)^(1/3)
2n
400
Simplify:
x^3/sqrt(x)
x^2*sqrt(x)
400
D3) Solve. Check for extraneous solutions.
x = 20
400
True or False: If a radical has an odd index, the root is negative
False. The root can be positive or negative.
500
Give the domain and range:
f(x)=-sqrt(x+1)+5
Domain: [-1, infinity)
Range: (-infinity, 5]
500
Simplify:
root(6)(a^9b^3
a*sqrt(ab)
500
Simplify:
3sqrt(16x^4y^4z)
12x^2y^2sqrtz
500
Solve. Check for extraneous solutions.
No solution
500
Christmas Trivia 2000 pts
“You smell like beef and cheese. You don’t smell like Santa,” is a quote from what holiday movie?
Elf