91Ó°ÊÓ

The distance between the points 1a, b2 and 1c, d 2 is _________. So the distance between 11, 22 and 17, 102 is _______.

In the formula \(I=P r t\) for simple interest, \(P\) stands for _______, \(r\) for _______, and \(t\) for _______.

(a) Using exponential notation, we can write \(\sqrt[3]{5}\) as (b) Using radicals, we can write \(5^{1 / 2}\) as (c) Is there a difference between \(\sqrt{5^{2}}\) and \((\sqrt{5})^{2}\) ? Explain.

(a) The solutions of the equation \(x^{2}(x-4)=0\) are _______ (b) To solve the equation \(x^{3}-4 x^{2}=0,\) we _______ the left-hand side.

The Special Product Formula for the "square of a sum" is \((A+B)^{2}=\)______ \({So}(2 x+3)^{2}=\)______

(a) The solution of the inequality \(|x| \leq 3\) is the interval ________. (b) The solution of the inequality \(|x| \geq 3\) is a union of two intervals ___________ \(\bigcup\) _________.

The set of numbers between but not including 2 and 7 can be written as follows: ______ in set-builder notation and _____ in interval notation.

If the quantities \(x, y,\) and \(z\) are related by the equation \(z=3 \frac{x}{y}\), then we say that \(z\) is _____ _____ to \(x\) and _____ _____ to \(y.\)

To multiply two rational expressions, we multiply their _____ together and multiply their _____ together. So $$\frac{2}{x+1} \cdot \frac{x}{x+3}$$ is the same as _____.

Give a formula for the area of the geometric figure. (a) A square of side \(x: A=\) _______. (b) A rectangle of length \(l\) and width \(w: A=\) _______. (c) A circle of radius \(r: A=\) _______.