Modeling with Systems of Linear Equations — Unit test Answers

Which function has a simplified base of 4?

Which is equivalent to ?

Which is equivalent to ?

Which expression is equivalent to ?

The area of a square room in square units can be represented by 169x2y4. What is the perimeter of the room?

A scientist has 100 milligrams of a radioactive element. The amount of radioactive element remaining after t days can be determined using the equation . After three days, the scientist receives a second shipment of 100 milligrams of the same element. The equation used to represent the amount of shipment 2 remaining after t days is . After any time, t, the mass of the element remaining in shipment 1 is what percentage of the mass of the element remaining in shipment 2?

What is the simplified form of the following expression?

A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation , where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is . Which of the following is an equivalent form of the equation for the population of sample 2?

Combine these radicals.

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

Nathan has a rectangular plot of grass in his backyard that has dimensions of meters in width and meters in length. What is the total area of the plot of grass? Recall that the area of a rectangle is the width multiplied by the length.

Consider the expression . Which of the following is an equivalent expression?

What is the simplified form of the following expression?

What is the rate of increase for the function f(x) = ?

Combine these radicals.