Quadratics & Extraneous Solutions
Solve: x2 = 9
What is x = +- 3
Simplify: i^2
What is -1?
What is the inverse operation of multiplying by 5?
What is dividing by 5?
Is the function y=3(1.2)^x growth or decay?
What is growth?
Rewrite log_2 8=3 in exponential form.
What 2^3 = 8?
Solve: sqrt(x) = 4
What is x = 16?
Simplify: i^7
What is -i?
Find the inverse of f(x)=2x+3
What is f^-1 (x)= (x-3)/2?
Identify the initial value in y=5(0.8)^x
What is 5?
Evaluate log_10 1000
What is 3?
Solve: sqrt(x+5) = x-1
What is x = 5?
Simplify: (3+2i)+(4-5i)
What is 7-3i?
Describe the transformation from f(x) to g(x)=f(3x)
What is a horizontal shrink by a factor of 1/3?
A population starts at 200 and grows by 10% per year. Write the equation.
What is y=200(1.1)^x?
Simplify: log_3 27
What is 3?
Solve: x^2 + 4 = 0
What is x = +- 2i ?
Simplify: (2+3i)(1-i)
What is 5+i?
Describe the transformation from f(x) to g(x)=-f(x-2)+1
What is right 2, reflect over the x-axis, and up 1?
A value of $500 depreciates by 15% each year. Write the equation.
What is y=500(0.85)^x ?
Solve: log_2 (x)=5
What is x = 32?
Solve and check for extraneous solutions:
sqrt (2x+1)=x-3
What is x=5 (the solution x=1 is extraneous)?
Simplify: (1-2i)^2
What is -3-4i?
Find the inverse of f(x) = sqrt(x-4)
What is f^-1 (x)=x^2 +4?
If y=100(1.05)^x, what is the value when x=3?
What is 115.76?
If ln(x)=1, find x.
What is x=e?