Modeling with Rational Functions — Unit test

Question 1

A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?

Revolt · Accepted Answer

The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.

Question 2

Which equation is an example of the commutative property of multiplication?

Revolt · Accepted Answer

(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)

Question 3

A rectangle’s length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find its width, w?

Revolt · Accepted Answer

w(2w + 5) = 50

Question 4

What is the value of i 97 – i?

Revolt · Accepted Answer

0

Question 5

Solve for in the equation .

Revolt · Accepted Answer

x = 3 plus-or-minus StartRoot 23 EndRoot

Question 6

Which expression is equivalent to (4 + 6i)2?

Revolt · Accepted Answer

–20 + 48i

Question 7

What is the length of the unknown leg in the right triangle?

Revolt · Accepted Answer

20 cm

Question 8

What is the sum of 12 – 5i and –3 + 4i?

Revolt · Accepted Answer

9 – i

Question 9

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

Revolt · Accepted Answer

The exponential function is generally growing faster than the linear function.

Question 10

What is the greatest possible integer value of x for which is an imaginary number?

Revolt · Accepted Answer

4

Modeling with Rational Functions — Unit test Answers

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