Modeling with Systems of Linear Equations — Unit test Answers

Which expression is equivalent to ?

What is the simplified value of the exponential expression ?

The area of a square piece of land in square units can be represented by the expression 9q4r8s6. What is the length of one side of the piece of land?

Which expression is equivalent to ?

Which statements accurately describe the function f(x) = 3? Select three options.The initial value is 3.The domain is x > 0.The range is y >0.The simplified base is 12.The simplified base is 8.

How are the graphs of the functions f(x) = and g(x) =related?

What is the simplified form of ?

Which is equivalent to ?

An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation represents the population, p1, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same antibiotic to a second population, p2. The number of bacteria after d days in the second population is represented by the equation . Which equation is equivalent to p2?

Combine and simplify these radicals.

Henry begins a savings account with $500. The savings account accumulates 2.5% annual interest based on the equation , where Vh is the value of the account after t years. Andres begins a savings account three years later with the same initial amount of money at the same interest rate. Which equations represent the value of Andres’s account after t years?

Nolan began a savings account three years ago. He invested $100 at a 2% interest rate according to the equation Vn = 100(1.02)x, where Vn is the value of his account after x years. Anias started an account today. She invested $100 at a 2% interest rate according to the equation Va = 100(1.02)x–3, where Va is the value of her account. Let’s say Anias started saving at the same time Nolan did, three years ago. Approximately how much money would she have had to invest to have the same amount of money she has now?