Unit Test — Unit test Answers

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.

Which is equivalent to ?

A science teacher told his students that the expression represents the area in square units of the contaminated square region in their activity. What is the width of the region in simplest form?

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?

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

Combine these radicals.

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

Which function has a simplified base of 4?

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

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?

Which expression is equivalent to ?

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.

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

What is the simplified form of the following expression?