Modeling with Systems of Linear Equations — Unit test Answers

Simplify .

The population, p, of a town after t years is represented using the equation . Which of the following is an equivalent expression?

Which is an equivalent form of the expression 1800(1.2)–t?

A builder needs three pipes of different lengths. The pipes are feet long, feet long, and feet long.How many feet of piping is required in all? (Hint: Try dividing each radicand by 6.)

Which expression is equivalent to ?

Victor has been instructed to stack boxes on a freight dock, arranged in perfect squares. If he has 625 boxes in each square, how many boxes are on the bottom row of each square?

Which is equivalent to ?

What is the simplified value of the exponential expression ?

Which is equivalent to ?

The area of a square room can be expressed as 196x12y10z6 square feet . Hajime is installing a wallpaper border along the perimeter of the room. What is the perimeter?

Combine and simplify these radicals.

When simplified, the expression is 12. Which is a possible value of x?

A radioactive element has a half-life of six days. What is the approximate decay rate of the element after the first day?

Simplify .

Which expression is equivalent to ?

The formula for determining the frequency, f, of a note on a piano is , where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C?

The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation representing the number of grams, g, after x years is . What is the annual rate of decay?

Which value of n makes the following equation true?

Which expression is equivalent to ?

Which expression is equivalent to ?