91Ó°ÊÓ

Rewrite each expression without absolute value bars. $$|-203|$$

Rewrite each expression without absolute value bars. $$|12-\pi|$$

Simplify each exponential expression. $$\left(\frac{3 a^{-5} b^{2}}{12 a^{3} b^{-4}}\right)^{0}$$

State the name of the property illustrated. $$-8(3+11)=-24+(-88)$$

In Exercises \(83-90,\) evaluate each expression without using a calculator. $$121^{\frac{1}{2}}$$

What does the discriminant indicate about the number and type of solutions? $$2 x^{2}-11 x+3=0$$

What does the discriminant indicate about the number and type of solutions? $$3 x^{2}+4 x-2=0$$

The average rate on a round-trip commute having a one-way distance \(d\) is given by the complex rational expression $$\frac{2 d}{\frac{d}{r_{1}}+\frac{d}{r_{2}}}$$ in which \(r_{1}\) and \(r_{2}\) are the average rates on the outgoing and return trips, respectively. Simplify the expression. Then find your average rate if you drive to campus averaging 40 miles per hour and return home on the same route averaging 30 miles per hour. Explain why the answer is not 35 miles per hour.

Explain how to add or subtract rational expressions with the same denominators.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The rational expressions $$\frac{7}{14 x} \text { and } \frac{7}{14+x}$$ can both be simplified by dividing each numerator and each denominator by 7