Graphing
Radicals & Rational Exponents
Simplify/Evaluate
Solving Equations
Operations with Radicals
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
Trivia:
Which famous soft drink was invented in 1892?
Coca cola
100
D1) Solve. Check for extraneous solutions.
x = 13
100
Simplify:
sqrt(5)+sqrt(45)
Answer:
4sqrt(5)
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
Trivia:
What is used to make hummus?
Chickpeas (Garbanzo beans)
200
Simplify:
8^(2/3)
4
200
D2) Solve. Check for extraneous solutions.
x = 6
200
Simplify:
3sqrt2(5-7sqrt3)
Answer:
15sqrt(2)-21sqrt(6)
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
Trivia:
What is the most expensive spice (by weight) in the world?
Saffron
300
(4+sqrt(3))(2-3sqrt(3))
-1-10sqrt(3)
400
Trivia: What is cynophobia a fear of?
Dogs
400
Simplify:
(8n^3)^(1/3)
2n
400
Simplify:
5/sqrt(15)
sqrt(15)/3
400
D3) Solve. Check for extraneous solutions.
x = 20
400
Simplify:
3/(7-sqrt5)
Answer:
(21+3sqrt(5))/44
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:
(6y)/root(4)(2y^3)
3*root(4)(8y)
500
Solve. Check for extraneous solutions.
No solution
500
Whose real name is Colson Baker?
Machine Gun Kelly