91Ó°ÊÓ

A pair of points is given. (a) Plot the points in a coordinate plane. (b) Find the distance between them. (c) Find the midpoint of the segment that joins them. $$(0,8),(6,16)$$

Radicals and Exponents Evaluate each expression. (a) \(\sqrt{3} \sqrt{15}\) (b) \(\frac{\sqrt{48}}{\sqrt{3}}\) (c) \(\sqrt[3]{24} \sqrt[3]{18}\)

Phyllis invested \(\$ 12,000,\) a portion earning a simple interest rate of \(4 \frac{1}{2} \%\) per year and the rest earning a rate of 4\% per year. After 1 year the total interest earned on these investments was \(\$ 525 .\) How much money did she invest at each rate?

Finding Equations of Lines Find an equation of the line that satisfies the given conditions. Through \((2,3) ;\) slope 5

Multiply the algebraic expressions using the FOIL method and simplify. $$(3 t-2)(7 t-4)$$

Linear Equations The given equation is either linear or equivalent to a linear equation. Solve the equation. $$\frac{1}{x}=\frac{4}{3 x}+1$$

Evaluate the sum or difference, and write the result in the form \(a+b i\) $$(-12+8 i)-(7+4 i)$$

Properties of Real Numbers Use properties of real numbers to write the expression without parentheses. $$4(2 m)$$

Linear Inequalities Solve the linear inequality. Express the solution using interval notation and graph the solution set. $$\frac{1}{3} x+2 < \frac{1}{6} x-1$$

Linear Inequalities Solve the linear inequality. Express the solution using interval notation and graph the solution set. $$\frac{2}{3}-\frac{1}{2} x \geq \frac{1}{6}+x$$