Exam 4: Living in a Nonlinear World

Subtract the polynomials.

Factor completely.

Apply the distributive property.

Find the simple interest and the total amount including interest.

Simplify.

If a bank compounds interest semiannually for 8 years, how many total compound periods are there?

Factor the binomial completely.

Use the distance formula to find the distance between the two points.

Simplify the expression. Write the answer in exponent form. $10 ^ { 5 } \cdot 10 ^ { 7 }$

Solve the equation. $4 ^ { y } = 64$

Factor completely.

Factor the binomial completely.

Solve the equation by using the quadratic formula.

Add the polynomials.

Determine whether x and y vary directly, inversely, or jointly in the following equation.

If a person takes a 40 mg dose of OxyContin, the amount in the body will decrease by about 15% per hour. a. Write an equation that describes the amount of OxyContin in this person's body after x hours. b. How much OxyContin is in this person's body after 24 hours? Is it all gone?

Multiply the conjugates.

Factor completely. $x ^ { 2 } - 15 x + 54$

Apply the appropriate property to simplify the expression.

Factor the binomial completely. $25 x ^ { 2 } - 81 y ^ { 2 }$