91Ó°ÊÓ

The Special Product Formula for the "product of the sum and difference of terms" is \((A+B)(A-B)=\) ____. \(\operatorname{So}(5+x)(5-x)=\) _____.

Yes or No? If No , give a reason. Assume that \(a\) and \(b\) are nonzero real numbers. (a) Is the sum of two rational numbers always a rational number? (b) Is the sum of two irrational numbers always an irrational number?

What is a logical first step in solving the inequality? (a) \(3 x \leq 7\) (b) \(5 x-2 \geq 1\) (c) \(|3 x+2| \leq 8\)

The slope of a vertical line is _________. The equation of the vertical line passing through \((2,3)\) is ____________.

Solve the equation both algebraically and graphically. $$\frac{1}{2} x-3=6+2 x$$

The formula \(d=r t\) models the distance \(d\) traveled by an object moving at the constant rate \(r\) in time \(t .\) Find formulas for the following quantities. \(r=\)_____ \(t=\) _____

Yes or No? If No , give a reason. (Disregard any value that makes a denominator zero.) (a) Is the expression \(\frac{3+a}{3}\) equal to \(1+\frac{a}{3} ?\) (b) Is the expression \(\frac{2}{4+x}\) equal to \(\frac{1}{2}+\frac{2}{x} ?\)

The graph of the equation \((x-1)^{2}+(y-2)^{2}=9\) is a circle with center (_____ , _____) and radius __________.

The equation \((x+1)^{2}-5(x+1)+6=0\) is of ______ type. To solve the equation, we set \(W=\) ______ The resulting quadratic equation is ______ .

The Special Factoring Formula for the "difference of squares" is \(A^{2}-B^{2}=\) ____, So \(4 x^{2}-25\) factors as ____.