Simplify the remaining expression completely.

$$\dfrac{x^6y^4}{xy^2}$$

Determine the inverse of the linear function, where y=f(x).

$$y-y_1=m\left(x-x_1\right)$$

Compute and simplify so that only positive exponents remain.

$$\left(\frac{x^{-2}}{y}\right)^{-3}$$

True or False: $\frac{d}{d x} f(5 x)=5 \cdot f^{\prime}(5 x)$.

Find the quotient and remainder if $f(x)$ is divided by $p(x)$.

$$f(x) = 3 x^4+2 x^3-x^2-x-6 ; \quad p(x) = x^2+1$$

Which of the following is (are) rich source(s) of vitamin E?
a. raw vegetable oil
b. colorful foods, such as carrots
c. milk and milk products
d. raw cabbage

Graph the system of linear inequalities.
y $\geq$ 0
x $\leq$ 9
x + y < 15
y < x

Find the quotient and the remainder when the first polynomial is divided by the second.

$$2 x^3+x^2+3 x+7 ; x+2$$

Does the quotient of 4554 ÷ 9 have a remainder? How can you tell without dividing?

Write the following fractions as decimals in hundredths with the remainder expressed as a fra ction.

$$\dfrac{1}{6}$$

Add.

$$\frac{5}{8}+\frac{5}{12}+\frac{5}{18}=$$

Solve the system.

$$2(5 a-5 b)=10$$

$$-5(6 a+2 b)=10$$

Find the quotient and remainder using a calculator. Check your answers.

c. $9,346,870 \div 1349$

If $2 x+5=-5$ and $3 y+5=-10,$ find the value of $x^{3}-y^{3}$.