Systems of Equations
x + y = 5
2x + y = 2
Using variables, turn the following into an equation: y varies directly with x.
What is y = kx?
root(x - 1) = 5
What is x = 26?
Find log2512.
What is 9?
This mentor hurt his shoulder and is currently in a sling.
Who is Andy?
2x + 7y = 18
3x - 4y = -2
What is x = 2, y = 2?
Using variables, turn the following into an equation: y varies inversely with double the cube of x.
What is y = k/(2x3)?
1/root(25x) = 75
x = 1/625
Find log7343.
What is 3?
This mentor taught you that the thick Z symbol means the set of all integers.
Who is Arjun?
5x - 7y = 8
10x - 14y = 17
What is inconsistent?
Given that f(x) = 1/x2 and g(x) = 6 - x, find f(g(4)).
What is 1/4?
5/x - 3/x = 8
What is x = 1/4?
Find eln(e) - 1.
What is 1?
This mentor taught the very first lesson of the camp.
Who is Bobert?
3x + 10y = 31
9x + ay = b
What values must a and b have for the system to be dependent?
What are a = 30, b = 93?
Given that f(x) = 4x + 3 and g(x) = x(x + 4), find g(f(5)).
What is 621?
3/x + 8/(x-5) = 1
What is x = 15, x = 1?
Find [log(1007)]+10(log24 + log28).
What is 64?
These mentors are twin rowers.
Who are Dylan and Heidi?
x + 3y - z = 2
4x + 2y + 5z = 1
3x + z = 12
What are x = 5, y = -2, z = -3?
Given that f(x) = 5x2 + 3 and g(x) = (3x + 1)/(x + 5), find g(g(2)) in its simplest form.
What is 2/3?
x/(x+2) + 2/[(x+2)(x+3)] = 5/(x+3)
What is x = 4?
Find a if logb[a3/b] + 1 = logb8.
What is 2?
He's a runner, he's a cross country star.
Who is Chi?