Chapter 1: Fundamentals

Solve the equation both algebraically and graphically. (Lesson 1.11)

$x^2-32=0$

Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomial; then list its terms and state its degree.

Find the slope of the line through P and Q.

$P\left(-1,2\right)$and $Q\left(0,0\right)$.

Evaluate the expression.

$\left|\mathbf{1}\mathbf{-}\left|-4\right|\right|$

Explain the steps involved in rationalizing a denominator. What is the logical first step in rationalizing the denominator of the expression $\frac{5}{\sqrt{3}}$?

Find the real and imaginary parts of the complex number.

$\frac{-2-5i}{3}$

Write an equation that expresses the statement.

v is inversely proportional to z.

Complete the tables. What happens to the size of the fraction 1/x as x gets large? As x gets small?

Use the scientific notation, the Laws of exponents, and a calculator to perform the indicated operations. State your answer rounded to the number of significant digits indicated by the given data.

$(1.062\times {10}^{24})(8.61\times {10}^{19})$

A wire$360\mathrm{in}$long is cut into two pieces. One piece is formed into a square, and the other is formed into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire?