Laws of Exponents
Functions
Absolute Values
Logs
Exponentials
100
Simplify x^a*x^b*x^c
What is x^(a+b+c)
100
Evaluate f(f(1)) : f(x) = 2x + 1/x
What is 19/3
100
Find all values of x: |0.5x| = 8
What is x=16, -16
100
Simplify: ln(e^-5)
What is -5
100
Evaluate 32^(2/5)
What is 4
200
Expand (y^-2+2y^3)^2
What is y^(-4)+4y+4y^6
200
Suppose f(x) = x^2 if positive and f(x) = x otherwise Find: f(-3) + f(0) + f(2)
What is 1
200
Find all values of x: |2x-1| = 5
What is x= 3, -2
200
When the base is 3, what is log(1/9)
What is -2
200
Evaluate 4^(-5/2)
What is 1/32
300
Simplify: [(a^2 * b^3 * c^4)] / [(a^2x * b^2 * c^-x)]
What is a^(2-2x)*b*c^(4+x)
300
Evaluate f(2,1) : f(x,y) = x^2*y+1
What is 5
300
Find all the values of x: |6x-2|<7
What is -5/6 < x < 9/6
300
what is the base when log(81) = 4?
What is 3
300
Solve for x using base e: e^x = 8
What is x = ln(8)
400
Simplify: [(x^-2 * y^-1/3)^3] / [(x^2 * y^2)^3]
What is x^-12*y^-7
400
Evaluate f(g(x)) : f(x) = x/2 g(x) = 2x
What is x
400
Find the x values: |5-2x|>4
What is x<1/2 or x > 9/2
400
When the base is 5, what is Log(1/125)
What is -3
400
Solve for x using base 3: 3^(-2x) = 10
What is LOG(10)/-2 (in base 3)
500
Expand (y^3+3y^(-2))^(3)
What is y^9+9y^4+27y^(-1)+27y^(-6)
500
Evaluate f(g(8)) : g(x) = 3 f(x) = x^3 + 4
What is 31
500
DOUBLE JEOPARDY! Find all the x values that satisfy: |x^2-3x| = -4x + 6
What is x=-3, 1
500
Find X: If the base is 4, log(2x) = -3
What is 1/128
500
Solve for y in base 10, Simplify as far as possible: 6^(-2y) = 100x^2
What is (-1-LOG(x))/LOG(6)
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