Cumulative Review Exercises Chapters P–8

In Problems 1–9, solve each equation or inequality.

$| 3 x - 8 | = | x |$ $| 3 x - 8 | = | x |$
$x^{2} (x^{2} - 5) = - 4$ $x^{2} (x^{2} - 5) = - 4$
$\log_{2} (3 x - 5) + \log_{2} x = 1$ $\log_{2} (3 x - 5) + \log_{2} x = 1$
$e^{2 x} - e^{x} - 2 = 0$ $e^{2 x} - e^{x} - 2 = 0$
$\frac{6}{x + 2} = \frac{4}{x}$ $\frac{6}{x + 2} = \frac{4}{x}$
$2 {(x - 8)}^{- 1} = {(x - 2)}^{- 1}$ $2 {(x - 8)}^{- 1} = {(x - 2)}^{- 1}$
$\sqrt{x - 3} = \sqrt{x} - 1$ $\sqrt{x - 3} = \sqrt{x} - 1$
$x^{2} + 4 x \geq 0$ $x^{2} + 4 x \geq 0$
$18 \leq x^{2} + 6 x$ $18 \leq x^{2} + 6 x$

In Problems 10 and 11, solve each system.

${\begin{array}{l} 5 x + 4 y = 16 \\ 4 x - 3 y = 11 \end{array}$ ${\begin{array}{l} 5 x + 4 y = 16 \\ 4 x - 3 y = 11 \end{array}$
${\begin{array}{rclcrcr} x & - & 3 y & + & 6 z & = & - 8 \\ 5 x & - & 6 y & - & 2 z & = & 7 \\ 3 x & - & 2 y & - & 10 z & = & 11 \end{array}$ ${\begin{array}{rclcrcr} x & - & 3 y & + & 6 z & = & - 8 \\ 5 x & - & 6 y & - & 2 z & = & 7 \\ 3 x & - & 2 y & - & 10 z & = & 11 \end{array}$
Graph the function $y = \cos \frac{2}{3} x$ $y = \cos \frac{2}{3} x$ over one period.
Use identities to find the exact value of $\sin (- \frac{7 π}{12})$ $\sin (- \frac{7 π}{12})$ .
Write the complex number $2 + 2 \sqrt{3} i$ $2 + 2 \sqrt{3} i$ in polar form.
Use transformations to sketch the graph of $f (x) = \sqrt{x - 3} .$ $f (x) = \sqrt{x - 3} .$
Find the domain of $f (x) = \frac{x + 3}{x (x + 1)} .$ $f (x) = \frac{x + 3}{x (x + 1)} .$
Write $7 \ln x - \ln (x - 5)$ $7 \ln x - \ln (x - 5)$ in condensed form.
If $A = [\begin{array}{r} 1 & 0 & - 2 \\ 4 & 1 & 0 \\ 1 & 1 & 7 \end{array}]$ $A = [\begin{array}{r} 1 & 0 & - 2 \\ 4 & 1 & 0 \\ 1 & 1 & 7 \end{array}]$ , find $A^{- 1} .$ $A^{- 1} .$
Four students are pairing up to ride two tandem bicycles, each of which accommodates two riders, one in back and one in front. How many ways can this be done if we count arrangements as different if either the front or back rider is different?
A room has 6 people who are 25 years or older and 12 people whose age is between 17 and 24. Half the members of each group have gotten speeding tickets at some time. What is the probability that a person chosen at random from the room will be a person who is 25 years or older or has gotten a speeding ticket at some time?

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.

Table of Contents for Cumulative Review Exercises Chapters P&#8211;8

Create new playlist

Sign In

Sign Up

Table of Contents for
Cumulative Review Exercises Chapters P–8